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  <front>
    <journal-meta><journal-id journal-id-type="publisher">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-22-3037-2026</article-id><title-group><article-title>Storm-modulated submesoscale dynamics over sloping topography in a wind-driven, non-tidal basin</article-title><alt-title>Storm-modulated submesoscale dynamics over sloping topography</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Chrysagi</surname><given-names>Evridiki</given-names></name>
          <email>evridiki.chrysagi@uni-hamburg.de</email>
        <ext-link>https://orcid.org/0000-0003-0348-7494</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Umlauf</surname><given-names>Lars</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Gräwe</surname><given-names>Ulf</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Burchard</surname><given-names>Hans</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8288-3932</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Naveira Garabato</surname><given-names>Alberto C.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Oceanography, University of Hamburg, Hamburg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Physical Oceanography, Leibniz Institute for Baltic Sea Research Warnemünde, Rostock, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Ocean and Earth Science, University of Southampton, Southampton, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Evridiki Chrysagi (evridiki.chrysagi@uni-hamburg.de)</corresp></author-notes><pub-date><day>6</day><month>October</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>5</issue>
      <fpage>3037</fpage><lpage>3053</lpage>
      <history>
        <date date-type="received"><day>19</day><month>May</month><year>2026</year></date>
           <date date-type="rev-request"><day>4</day><month>June</month><year>2026</year></date>
           <date date-type="rev-recd"><day>3</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>17</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Evridiki Chrysagi et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026.html">This article is available from https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e130">While ocean surface submesoscales have been extensively studied, their counterparts in the bottom boundary layer (BBL) remain little explored. These subsurface features, however, appear to play a key role in (i) boundary-interior exchange, (ii) forward energy cascade, and (iii) turbulent boundary mixing, which is an important driver of the overturning circulation. Since interior submesoscales typically arise through flow-topography interactions, recent studies have focused on their genesis in the open ocean, particularly in regions where strong, relatively steady currents flow over steep slopes. Here, we use the Baltic Sea as a natural laboratory to show that submesoscales are widespread even in semi-enclosed basins, far from major current systems, in regions where tides are virtually absent, and ephemeral wind-driven currents typically dominate. Using high-resolution numerical simulations, we demonstrate that surface and subsurface submesoscales can coexist, with the latter being especially prominent near the lateral boundaries. Strong ageostrophic features emanate from the boundaries and are accompanied by potential vorticity anomalies, indicating regions prone to instabilities. Oppositely signed vorticity is typically found at either side of the basin, intensifying locally during strong winds. By analyzing a series of sequential storm events with opposing winds, we show that variability in wind direction is important in determining the submesoscale generation sites and mixing hotspots. Wind reversals reverse the regional circulation and lead to alternating vorticity signals within the BBL, suggesting that the submesoscale generation sites and mixing hotspots exhibit transient behavior. Our findings highlight the previously unrecognized, broader significance of storm-modulated submesoscales in wind-driven marine and limnic systems, extending their relevance beyond the Baltic Sea.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>274762653</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e142">Submesoscales are ephemeral oceanic features in the form of vortices, density fronts, and filaments, with horizontal scales ranging from 0.1 to 10 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and lifetimes of hours to days, concentrating mainly in the weakly stratified surface layer and the bottom boundary layer (BBL). Unlike mesoscale dynamics, where vertical stratification dominates and planetary rotation firmly constrains the flow, submesoscale structures are still influenced but only weakly constrained by the Earth's rotation <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx42" id="paren.1"/>. Dynamically, they can thus be defined as flows for which the Rossby and balanced Richardson numbers,

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M2" display="block"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">ζ</mml:mi><mml:mi>f</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">Ri</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi>b</mml:mi><mml:msup><mml:mi mathvariant="normal">|</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        are both <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Here, <inline-formula><mml:math id="M4" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> denotes the planetary vorticity, <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mi mathvariant="italic">ζ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the vertical component of the relative vorticity, <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mo>∂</mml:mo><mml:mi>b</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> the square of the buoyancy frequency, where <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>g</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the buoyancy based on the (potential) density <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M9" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the gravitational acceleration, and <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> a constant reference density), and <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the horizontal nabla operator.</p>
      <p id="d2e356">While surface submesoscales have been extensively studied and different mechanisms have been proposed for their emergence, their counterparts in the BBL remain little explored. However, recent modeling efforts <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx22" id="paren.2"/>, supported by scarce observational data <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx19 bib1.bibx24" id="paren.3"/>, suggest that submesoscales are abundant in the oceanic interior, challenging the traditional view of a quiescent, stratified interior in quasigeostrophic equilibrium <xref ref-type="bibr" rid="bib1.bibx48" id="paren.4"/>. These ageostrophic features, which primarily emerge from the interaction of geostrophic flows with steep topographic slopes (as explained below), are dynamically important, as they provide a direct pathway for the forward cascade of mesoscale energy toward dissipation scales <xref ref-type="bibr" rid="bib1.bibx25" id="paren.5"/>.</p>
      <p id="d2e371">Specifically, <xref ref-type="bibr" rid="bib1.bibx44" id="text.6"/> showed that when an interior current flows above a sloping bottom, the drag against the slope will create not only vertical but also significant horizontal velocity shear, i.e., vertical vorticity. Currents with large vertical vorticity may become unstable, separate from the slope, especially at locations of strong topographic curvature, and form turbulent topographic wakes. In the separated wake, submesoscale instabilities typically emerge, resulting in enhanced energy dissipation and the formation of submesoscale coherent vortices <xref ref-type="bibr" rid="bib1.bibx10" id="paren.7"/>. This process has been shown, for example, in the context of the California Undercurrent <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx16" id="paren.8"/>, the Gulf Stream <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx24" id="paren.9"/>, and the Kuroshio–Oyashio Extension <xref ref-type="bibr" rid="bib1.bibx60" id="paren.10"/>. The resulting submesoscale coherent vortices are usually long-lived, which enables them to transport their anomalous physical and biogeochemical properties over long distances away from the generation sites <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx17 bib1.bibx41" id="paren.11"/>. More recently, observations from a deep western boundary current in the Southern Ocean have further highlighted the role of submesoscale instabilities in driving boundary–interior exchange and turbulent boundary mixing <xref ref-type="bibr" rid="bib1.bibx19" id="paren.12"/>.</p>
      <p id="d2e396">The aforementioned studies have explored the emergence of interior submesoscales by focusing particularly on the vicinity of strong current systems <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx16 bib1.bibx23" id="paren.13"/>, coastal jets <xref ref-type="bibr" rid="bib1.bibx8" id="paren.14"/> and dense water outflows <xref ref-type="bibr" rid="bib1.bibx55" id="paren.15"/>. Here the focus is on wind-driven, non-tidal marine and inland water systems that do not include western boundary currents or other large-scale current systems. Examples include semi-enclosed marine systems like the Baltic Sea, the Black Sea, and large limnic systems like the Great Lakes in North America and the Caspian Sea. Our goal is to investigate how wind events influence the deep-water submesoscale dynamics in such wind-driven systems, complementing the study of <xref ref-type="bibr" rid="bib1.bibx12" id="text.16"/>, which focused on the effects of storms on surface-layer submesoscale dynamics. We therefore use a realistic high-resolution numerical simulation to study the emergence of these features during sequential storm events.</p>
      <p id="d2e412">Our study area is the Baltic Sea, a shallow and strongly stratified brackish marine system connected to the North Sea through the Danish Straits (Fig. <xref ref-type="fig" rid="F1"/>a). Persistent lateral density gradients and rich submesoscale activity dominate in the surface mixed layer <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx62 bib1.bibx12 bib1.bibx13 bib1.bibx38" id="paren.17"/>, whereas mesoscale eddies are found at various depths, concentrating in the pycnocline <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx56" id="paren.18"/>. Temporal variability of currents is high in response to variable atmospheric forcing <xref ref-type="bibr" rid="bib1.bibx37" id="paren.19"/>. Wind forcing plays an important role in driving the circulation, influencing not only the surface but also the deeper layers of the basin <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx36 bib1.bibx61" id="paren.20"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e431"><bold>(a)</bold> Model domain (central Baltic Sea, known as Baltic Proper) and bathymetry. Red lines indicate the open boundaries of the model, the blue box shows the study area (Eastern Gotland Basin), and the red dot marks the position of the profiles shown in panel <bold>(b)</bold>. <bold>(b)</bold> Vertical profiles of density, salinity, and temperature at the deepest point of the Eastern Gotland Basin (Gotland Deep) on 29 October 21:00 UTC. <bold>(c)</bold> Basin-averaged wind speed and direction throughout the study period (October/November 2017). <bold>(d)</bold> Basin-averaged wind speed magnitude, with the dashed horizontal line indicating the 13 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> threshold used to define storm events. The light gray shaded areas indicate the approximate duration of the three successive storm events.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f01.jpg"/>

      </fig>

      <p id="d2e471">The response of a stratified, elongated basin to constant alongshore wind forcing was described for the Baltic Sea by <xref ref-type="bibr" rid="bib1.bibx34" id="text.21"/> and by <xref ref-type="bibr" rid="bib1.bibx36" id="text.22"/>. It involves cross-shore Ekman transport in the surface layer, leading to a sea-level rise along one coast and a corresponding sea-level fall along the opposite coast. This induces downwelling and upwelling, respectively, and associated baroclinic responses at both coasts. Consequently, coastal jets develop along both coasts in the direction of the wind, accompanied by a compensating return flow in the basin interior. Such bottom countercurrents, directed opposite to the wind, can arise as a response to the developed coastal jets <xref ref-type="bibr" rid="bib1.bibx34" id="paren.23"/> or, in some cases, prevail as a result of open-sea wind-driven Ekman transport <xref ref-type="bibr" rid="bib1.bibx61" id="paren.24"/>. Coastal upwelling/downwelling events and the formation of wind-driven boundary currents are commonly observed and can occur concurrently at the basin's eastern and western sides <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx38" id="paren.25"/>. The circulation therefore rapidly reacts to the wind forcing, with wind reversals followed by current reversals in the deeper layers occurring frequently in the basin <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx61" id="paren.26"/>. We thus hypothesize that such wind-driven changes in the direction and structure of the interior circulation can, in turn, influence the development of submesoscale features.</p>
      <p id="d2e493">We focus particularly on the Eastern Gotland Basin (blue box in Fig. <xref ref-type="fig" rid="F1"/>a), which is characterized by a permanent halocline, typically centered at around 70 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Fig. <xref ref-type="fig" rid="F1"/>b). The strong halocline acts as a natural lid, isolating the oxygen-rich surface water from the typically anoxic deeper layers of what is one of the globally largest anoxic marine systems. As tides are virtually absent and diapycnal mixing is weak, the primary process ventilating the oxygen-depleted bottom waters is short-lived intrusion events <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx43 bib1.bibx39" id="paren.27"><named-content content-type="pre">Major Baltic Inflows;</named-content></xref>, which import oxygenated waters from the North Sea. A tracer release experiment and turbulence microstructure observations <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx28" id="paren.28"/> have shown that basin-scale vertical deep-water mixing in the central Baltic Sea is largely driven by boundary processes, fueled by wind-driven topographic waves and, to a smaller extent, by near-inertial waves generated by transient wind forcing <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx29 bib1.bibx30" id="paren.29"/>. At present, however, the processes governing the exchange between mixed boundary-layer waters and the weakly turbulent interior of the Baltic Sea remain poorly understood, and the potential role of subsurface submesoscale motions has not yet been investigated in detail.</p>
      <p id="d2e520">Here, the Baltic Sea is used primarily as a natural laboratory to enable the investigation of interior submesoscale phenomena in a semi-enclosed, wind-driven basin, placed in the context of the more familiar open-ocean submesoscales that arise near stationary, large-scale boundary currents. Our goal is to show that in such basins, intense and variable winds can strongly influence submesoscale motions – a hypothesis that is likely to be broadly applicable to other wind-driven marine basins and large lakes. The manuscript is organized as follows. Section <xref ref-type="sec" rid="Ch1.S2"/> introduces the model setup, the atmospheric conditions, and the analysis methods. In Sect. <xref ref-type="sec" rid="Ch1.S3"/>, we explore the co-existence of surface and subsurface submesoscales, immediately following a severe storm episode. Section <xref ref-type="sec" rid="Ch1.S4"/> highlights the main characteristics of the wind-driven submesoscales emerging in the stratified interior, below the pycnocline. Section <xref ref-type="sec" rid="Ch1.S5"/> investigates the formation of these features during sequential wind events by exploring the effects of wind magnitude and direction. In Sect. <xref ref-type="sec" rid="Ch1.S6"/>, we examine the different instability types emerging in the BBL during storms. The main findings of our study are summarized in Sect. <xref ref-type="sec" rid="Ch1.S7"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Model description and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Numerical model</title>
      <p id="d2e552">To investigate the submesoscale motions in the oceanic interior and their response to storms, we conducted realistic high-resolution simulations using the General Estuarine Transport Model <xref ref-type="bibr" rid="bib1.bibx5" id="paren.30"><named-content content-type="pre">GETM;</named-content></xref>. Since the same simulation setup was used in <xref ref-type="bibr" rid="bib1.bibx12" id="text.31"/> to study the submesoscale dynamics in the surface layer, only the most relevant model features are presented here. For further details on the numerical model, the simulation setup, and the model validation, the reader is thus referred to the aforementioned study.</p>
      <p id="d2e563">The model domain covers the entire central Baltic Sea (known as Baltic Proper), spanning from 54.2 to 60.6° N, and from 15.5 to 24.0° E (Fig. <xref ref-type="fig" rid="F1"/>a). The horizontal grid size varies between 500 and 600 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which, as shown in <xref ref-type="bibr" rid="bib1.bibx12" id="text.32"/>, is sufficient to allow for the emergence of submesoscales. In the vertical, 100 adaptive, topography-following layers are applied. The use of such an adaptive numerical grid that follows the evolution of stratification and shear <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx27" id="paren.33"/>, reduces numerical mixing and pressure gradient errors <xref ref-type="bibr" rid="bib1.bibx20" id="paren.34"/>, and yields a high-resolution representation of the turbulent BBL <xref ref-type="bibr" rid="bib1.bibx30" id="paren.35"/>. The lateral boundary conditions (model boundaries marked in red in Fig. <xref ref-type="fig" rid="F1"/>a) are extracted from the 1 nautical mile (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">NM</mml:mi></mml:mrow></mml:math></inline-formula>) Baltic Sea model of <xref ref-type="bibr" rid="bib1.bibx21" id="text.36"/>. Initial conditions were obtained by merging existing GETM simulations from <xref ref-type="bibr" rid="bib1.bibx30" id="text.37"/> and observed Conductivity-Temperature-Depth (CTD) profiles of the central Baltic Sea, extracted from the HELCOM database (<uri>http://www.helcom.fi</uri>, last access: 1 October 2026). As the spatial coverage of the measurements is rather low, model data were nudged towards the CTD profiles by applying a distance-weighted algorithm, based on a Gaussian function with a standard deviation of 10 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">NM</mml:mi></mml:mrow></mml:math></inline-formula>. Thus, the initial data correspond to the CTD data directly at the position of the profiles, whereas at 10 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">NM</mml:mi></mml:mrow></mml:math></inline-formula> distance, 61 % of initial profiles are taken from the CTD casts and the rest from the model output. The simulation is then run freely without any nudging from 1 February 2016 to 31 December 2017. The atmospheric forcing is taken from the German Weather Service (DWD) operational model with spatial and temporal resolutions of 7 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and 3 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, respectively.</p>
      <p id="d2e641">The horizontal diffusivities are parameterized according to <xref ref-type="bibr" rid="bib1.bibx49" id="text.38"/> using a Smagorinsky constant of 0.6 and a turbulent Prandtl number of 2.0 for tracers. The vertical mixing is parameterized through a two-equation turbulence model with one prognostic equation for the turbulent kinetic energy, <inline-formula><mml:math id="M20" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and one for its dissipation rate, <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx52" id="paren.39"><named-content content-type="pre"><inline-formula><mml:math id="M22" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> model;</named-content></xref>. An algebraic second-moment turbulence closure model is applied to calculate the vertical turbulent viscosity, <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and the vertical turbulent diffusivity, <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx52" id="paren.40"/>. To mimic the unresolved mixing in the interior region, induced e.g., by internal wave breaking, we prescribe a background turbulent kinetic energy level of <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mo>min⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10<sup>−7</sup> <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and limit the turbulent length scale by the Ozmidov scale <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx52" id="paren.41"/>. Close to the bottom, we make the standard assumption that the velocity follows the logarithmic wall profile for a hydrodynamically rough bottom. This implies a quadratic friction law based on a constant bottom roughness of <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.002 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, as described in detail in <xref ref-type="bibr" rid="bib1.bibx33" id="text.42"/>.</p>
      <p id="d2e788">The model has been validated using satellite data from BSH (German Federal Maritime and Hydrographic Agency), several vertical temperature and salinity profiles from long-term moorings (HELCOM standard monitoring program), along with in-situ, high-resolution CTD data collected using a free-falling turbulence microstructure profiler <xref ref-type="bibr" rid="bib1.bibx12" id="paren.43"><named-content content-type="pre">for details see Sect. 3 in</named-content></xref>. Our analysis focuses on the Eastern Gotland Basin (blue box in Fig. <xref ref-type="fig" rid="F1"/>a), the largest basin of the Baltic Proper with a maximum depth of approximately 250 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The study period is restricted from 17 October to 4 November 2017, aiming to simulate a field campaign that was carried out in the Eastern Gotland Basin with a focus on submesoscale structures. Throughout the observational campaign, stormy weather conditions dominated (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). While <xref ref-type="bibr" rid="bib1.bibx12" id="text.44"/> focused on the role of storm events on the surface submesoscale motions, here we explore whether storms can also trigger such motions in the stratified interior, below the main pycnocline. To illustrate the genesis of submesoscales, a passive tracer is released 16 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> prior to the study period (1 October) into the BBL at 80 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth to highlight the topographically generated motions and the boundary-interior exchanges (see Sect. <xref ref-type="sec" rid="Ch1.S4"/>).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Atmospheric conditions</title>
      <p id="d2e838">During the period of interest, three consecutive storms (i.e., wind speed exceeding 13 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; see Fig. <xref ref-type="fig" rid="F1"/>d) occurred in the Eastern Gotland Basin, with the winds blowing from different directions (Fig. <xref ref-type="fig" rid="F1"/>c). The first storm passed over the area around 18 October 2017 with south-southwesterly winds, the second around 25 October with pronounced southerly winds, and the third peaking on 30 October with winds from a northerly direction. A maximum value of 20 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was observed during the last storm, whereas the lowest wind speeds occurred on 19 October, with values as small as <inline-formula><mml:math id="M38" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. As discussed in the following sections, the highly variable winds strongly influenced both the magnitude and direction of the currents, and thereby the locations of submesoscale generation and mixing hotspots. While the first two storms created an extended upwelling zone near the island of Gotland (location is shown in Fig. <xref ref-type="fig" rid="F1"/>a), the last storm with opposing winds favored coastal upwelling along the Latvian coast (Fig. <xref ref-type="fig" rid="F1"/>a). Such wind events, followed by coastal upwelling/downwelling and development of along-slope boundary currents, are quite common in the Baltic Sea <xref ref-type="bibr" rid="bib1.bibx36" id="paren.45"/> and, therefore, the dynamical processes outlined in the following sections are expected to occur frequently.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Analysis methods</title>
      <p id="d2e919">The genesis of submesoscales in the subsurface layers of the ocean, below the surface mixed layer, has been primarily linked to the interaction of strong geostrophic currents with steep topographic slopes. <xref ref-type="bibr" rid="bib1.bibx44" id="text.46"/> showed that vertical relative vorticity,

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M40" display="block"><mml:mrow><mml:mi mathvariant="italic">ζ</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">z</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:msub><mml:mi>v</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mi>u</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M41" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">z</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover></mml:math></inline-formula> is the upward unit vector, can be generated through lateral drag on an along-slope current. The vorticity <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> will be positive (cyclonic) for currents flowing with the topographic slope on their left, whereas negative (anticyclonic) <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> is expected for flows moving in the direction of a Kelvin wave (Northern Hemisphere). The current direction is therefore crucial for submesoscale dynamics. As discussed below, in wind-driven systems, <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> and therefore <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (see Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) may show alternating patterns induced by changes in the wind direction, a behavior that is not typically expected in large-scale current systems where the flow direction is generally unchanged (especially in the interior). Intensification of winds, on the other hand, may cause enhanced velocity shear, resulting in strong <inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> and ultimately triggering various types of instabilities.</p>
      <p id="d2e1018">To distinguish between the different instability types, we will use the Ertel potential vorticity (EPV):

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M47" display="block"><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mover accent="true"><mml:mi mathvariant="bold-italic">z</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>b</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Following the analysis presented in <xref ref-type="bibr" rid="bib1.bibx51" id="text.47"/>, (Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) can be decomposed into two terms:

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M48" display="block"><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="italic">ζ</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mtext>bc</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The first term is associated with the absolute vertical vorticity, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ζ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ζ</mml:mi></mml:mrow></mml:math></inline-formula>, and stratification, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mo>∂</mml:mo><mml:mi>b</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>, and is given by:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M51" display="block"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="italic">ζ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ζ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The second term is related to the baroclinicity of the flow, and is defined as:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M52" display="block"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mtext>bc</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Different overturning instabilities <xref ref-type="bibr" rid="bib1.bibx19" id="paren.48"/> can occur if the EPV and Coriolis parameter have the opposite sign, i.e., <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mi>q</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx31" id="paren.49"/>. For <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, gravitational instability may occur. Under stable stratification (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), centrifugal or inertial instability arises if <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="italic">ζ</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.  Symmetric instability (SI) occurs for <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> if <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="italic">ζ</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi>f</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mtext>bc</mml:mtext></mml:msub><mml:mi mathvariant="normal">|</mml:mi><mml:mo>&gt;</mml:mo><mml:mi>f</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="italic">ζ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx51" id="paren.50"/>. Note that our horizontal grid resolution is likely not sufficient to fully resolve such small-scale instabilities. However, using the same configuration, <xref ref-type="bibr" rid="bib1.bibx12" id="text.51"/> demonstrated that in regions where the criteria for SI are satisfied, the modeled energy dissipation rates are in good agreement with the theoretical estimates of <xref ref-type="bibr" rid="bib1.bibx50" id="text.52"/>, suggesting that the bulk energetics of SI are represented. As shown below, the instability conditions are satisfied near the lateral boundaries, where we identify regions with <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mi>q</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. The resulting vorticity anomalies are subsequently advected into the stratified interior in the form of eddies, fronts and filaments.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Surface-layer and deep-water submesoscale phenomena</title>
      <p id="d2e1412">At the peak of the last storm event (31 October 2017), Rossby number maps reveal a wealth of small-scale structures at all depth levels (Fig. <xref ref-type="fig" rid="F2"/>). Features with enhanced <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> appear not only in the surface layer (Fig. <xref ref-type="fig" rid="F2"/>a) but also in the deeper parts of the water column (Fig. <xref ref-type="fig" rid="F2"/>b and c), especially close to the sloping boundaries. Inside these features, we find widespread regions with <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, suggesting that submesoscale processes form an important component of the deep-water dynamics also in this shallow wind-driven marine system.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1448">Surface-layer and deep-water submesoscale features. Rossby number (<inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>) snapshots <bold>(a)</bold> in the surface layer (2 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth), <bold>(b)</bold> below the main pycnocline (80 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), and <bold>(c)</bold> in the interior (100 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) of the Eastern Gotland Basin for 31 October 2017 09:00 UTC (storm conditions). The gray contours in all panels show the topography, whereas the green lines in <bold>(a)</bold> delineate the 80 and 100 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> bathymetry contours. Black arrows indicate eddy-like features.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f02.jpg"/>

      </fig>

      <p id="d2e1509">Focusing on the surface layer, numerous fronts and filaments can be identified from the spatial distribution of the near-surface Rossby number (Fig. <xref ref-type="fig" rid="F2"/>a). <xref ref-type="bibr" rid="bib1.bibx12" id="text.53"/> showed that these features are characterized by shallow mixed layers even during periods of strong wind forcing, due to submesoscale restratification. Their emergence was shown to be linked to a large-scale persistent frontal structure which, during autumn, occupies the entire eastern part of the basin. Typically, the surface submesoscale phenomena stay confined to the weakly stratified surface mixed layer, and therefore have no signature in the deeper layers <xref ref-type="bibr" rid="bib1.bibx42" id="paren.54"/>.</p>
      <p id="d2e1521">Figure <xref ref-type="fig" rid="F2"/>b, c show that submesoscale features with <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are ubiquitous also in the stratified interior region below the permanent pycnocline. These features are not spatially correlated to their counterparts in the surface layer, suggesting an independent generation mechanism. Significantly higher values of <inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> close to the lateral boundaries, with some ageostrophic patterns extending further offshore, away from the sloping bottom, provide an initial indication of the relevance of submesoscale generation sites near the boundaries. A prominent example is the anticyclonic vortex with a strongly negative vorticity core that develops during the northerly storm (marked by the black arrow in Fig. <xref ref-type="fig" rid="F2"/>b). Two eddy-like features with positive <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are also visible, particularly at 100 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (black arrows in Fig. <xref ref-type="fig" rid="F2"/>c). These features were formed during the first wind episode (see also Fig. <xref ref-type="fig" rid="F3"/> below) and have a boundary origin, potentially arising from flow-topography interactions, as noted in previous studies <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx22 bib1.bibx42 bib1.bibx14" id="paren.55"/>.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1589">Spatial distribution of various metrics indicative of the submesoscale nature of the flow in the interior region at 80 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth: <bold>(a)</bold> temperature, <bold>(b)</bold> tracer distribution and circulation (arrows), <bold>(c)</bold> frontal sharpness, defined as <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi>b</mml:mi><mml:msup><mml:mi mathvariant="normal">|</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> buoyancy frequency squared, and <bold>(e)</bold> Rossby number. Black arrows show eddy-like structures. The eddy-like feature, marked as (ii), is also visible in Fig. <xref ref-type="fig" rid="F2"/>c, marked as (i). <bold>(f)</bold> Ertel potential vorticity (EPV), with negative values indicating the instability regions. Gray lines denote isobaths, whereas the black line indicates the location of the transect that is further analyzed in Fig. <xref ref-type="fig" rid="F4"/>. All patterns are instantaneous fields on 22 October 03:00 UTC, after the first wind event. The embedded panel in <bold>(f)</bold> shows the EPV 5 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> later on 27 October.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f03.jpg"/>

      </fig>

      <p id="d2e1661">Overall, small-scale structures with enhanced <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are ubiquitous at the peak of the storm, both at the surface and in the deeper layers. However, the surface and the interior regions exhibit distinct and phenomenologically disconnected patterns, especially near the lateral margins. This suggests that surface and subsurface submesoscale motions are able to coexist while remaining dynamically isolated from each other. This contrasts with previous studies <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx8" id="paren.56"><named-content content-type="pre">e.g.,</named-content></xref> showing that submesoscale motions observed in the surface layer were formed above sloping topography, and thus had an interior origin. Building on existing understanding, our investigations will therefore concentrate on the emergence of submesoscales in the deeper layers, below the main pycnocline, focusing particularly on the role of wind events in modulating these phenomena in a predominantly wind-driven, non-tidal system.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Wind-induced submesoscale phenomena in the stratified interior</title>
      <p id="d2e1695">To explore the spatial distribution of the flow after the first wind event, horizontal slices of various dynamical quantities at 80 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth are shown in Fig. <xref ref-type="fig" rid="F3"/>, where the signatures of fronts, filaments, and spiral-like features are clearly visible. Close to the lateral margins, particularly large horizontal buoyancy gradients (Fig. <xref ref-type="fig" rid="F3"/>c), often combined with <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="script">O</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>e), indicate submesoscale dynamics. The pronounced <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi>b</mml:mi><mml:msup><mml:mi mathvariant="normal">|</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> patterns also have a signature in the temperature field, where boluses of colder water can be spotted throughout the basin (Fig. <xref ref-type="fig" rid="F3"/>a). Figure <xref ref-type="fig" rid="F3"/>b shows the spatial distribution of the passive tracer, released at 80 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth exclusively within the BBL 16 d  prior to the study period (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>).  The tracer shows distinct features that correlate strongly with those observed in the buoyancy gradients. These features are ageostrophic, as evident from the large <inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> values (Fig. <xref ref-type="fig" rid="F3"/>e), and seemingly control the lateral dispersion of the tracer by initially trapping it and then transporting it away from the boundary, into the stratified interior.</p>
      <p id="d2e1775">A spatial discrepancy between the western and eastern margins of the basin is visible from Fig. <xref ref-type="fig" rid="F3"/>e and f. In the west, thin stripes of negative vorticity appear that tend to follow isobaths, whereas in the east, positive vorticity signals dominate. The negative relative vorticity (or <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F3"/>e) along the slope east of the island of Gotland is generated by lateral topographic drag on the southward flow (black arrows in Fig. <xref ref-type="fig" rid="F3"/>b). Similarly, regions with large <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> develop along the Latvian coastline as the current flows with the coast to its left, such that topographic drag now generates cyclonic shear. This is consistent with numerous studies demonstrating that flow-topography interactions can lead to the generation of either anticyclonic or cyclonic relative vorticity, depending on the direction of the interior flow with respect to the coast <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx22 bib1.bibx23" id="paren.57"/>.  However, different from these studies focusing on strong large-scale currents along steep topographic slopes, Fig. <xref ref-type="fig" rid="F3"/> shows (as will subsequent sections) that this mechanism is also at work in this semi-enclosed basin where ephemeral wind-driven currents largely dominate. Arrow (i) in Fig. <xref ref-type="fig" rid="F3"/>e marks a location where a boundary current with large cyclonic <inline-formula><mml:math id="M83" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> separates from the slope, and rolls up around an anticyclonic cold vortex. The same process most likely applies to the feature observed at the southeastern margin of the basin (Fig. <xref ref-type="fig" rid="F3"/>e, black arrow ii). The strong <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> anomalies in the form of eddies, fronts and filaments are, therefore, transported from the boundary into the interior, rather than remaining confined to the margins.</p>
      <p id="d2e1832">In addition to the relative vorticity generation, a sloping turbulent BBL can also act as a source or sink of potential vorticity <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx2" id="paren.58"/>. The former case is visible along the eastern boundary (Fig. <xref ref-type="fig" rid="F3"/>f), where stably stratified regions with positive EPV and <inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> can clearly be identified. As EPV is conserved in the largely non-turbulent interior region, it serves as a tracer for BBL fluid that has detached from the basin slopes. One example is the positive EPV anomaly characterizing the high-<inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> filament detaching from the boundary at the location marked by arrow (i) in Fig. <xref ref-type="fig" rid="F3"/>e. Another prominent example is the structure marked by the blue box in Fig. <xref ref-type="fig" rid="F3"/>f, which is characterized by high PV in its center. The near-zero PV at the feature's periphery results from the negative <inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>. The structure, which can be seen 5 d later in the embedded panel of Fig. <xref ref-type="fig" rid="F3"/>f, detaches from the boundary and carries anomalous PV further offshore. Subsequently, the positive EPV anomaly propagates northwards, and can be spotted during the last storm event from the <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> map shown in Fig. <xref ref-type="fig" rid="F2"/>c (black arrow i). Overall, the eddies and filaments observed here and in Fig. <xref ref-type="fig" rid="F2"/> visibly originate from the lateral boundaries, potentially arising through BBL instabilities and flow detachment. They are characterized by enhanced horizontal buoyancy gradients and are associated with low and high vorticity anomalies.</p>
      <p id="d2e1879">On the other side of the basin, along the topographic slope east of the island of Gotland, the prevalence of negative EPV values indicates that the region is prone to instabilities (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). The EPV <inline-formula><mml:math id="M89" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 stripes are confined to the boundary region with <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="italic">Ro</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, suggesting that centrifugal instability may occur there. However, as will be shown below, centrifugal instability, which arises under stable stratification (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) when the EPV is vortically negative, is not abundant in our simulations. This is probably due to the lack of steep bathymetric slopes, which have been seen to favor its emergence in other situations <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx57" id="paren.59"/>.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Storm-modulated topographic vorticity generation</title>
      <p id="d2e1930">To investigate the potential impact of storms on the BBL structure, vertical transects showing pre-storm flow conditions are contrasted to storm conditions in Fig. <xref ref-type="fig" rid="F4"/>. The snapshots in Fig. <xref ref-type="fig" rid="F4"/> correspond to (see Fig. <xref ref-type="fig" rid="F1"/>c): a period with relatively weak winds before the wind events in the last week of October (left panels), the onset of the last storm event (middle panel), and its final phase (right panel). During the storm event, pronounced northerly winds induced coastal upwelling in the eastern part of the basin.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1941">Wind-modulated vorticity generation above sloping topography. Vertical sections of <bold>(a–c)</bold> across-slope velocity (negative to the left; positive to the right), <bold>(d–f)</bold> along-slope velocity (negative out of the page; positive into the page), <bold>(g–i)</bold> Rossby number, and <bold>(j–l)</bold> Ertel potential vorticity. The location of the transect is shown in Fig. <xref ref-type="fig" rid="F3"/> (black continuous line). All panels are instantaneous patterns before (22 October 03:00 UTC, same snapshot as in Fig. <xref ref-type="fig" rid="F3"/>), during (29 October 21:00 UTC), and at the end of the last storm episode (31 October 03:00 UTC, see also Fig. <xref ref-type="fig" rid="F2"/>). Black contours in all panels denote isopycnals.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f04.jpg"/>

      </fig>

      <p id="d2e1969">Before the northerly storm (left panels in Fig. <xref ref-type="fig" rid="F4"/>), the interior flow below the mixed layer is directed southwards. Negative <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> values thus appear at the western boundary, and positive at the eastern boundary (Fig. <xref ref-type="fig" rid="F4"/>g). Such opposing signs are also found in the EPV, which exhibits highly correlated patterns with <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (see also Fig. <xref ref-type="fig" rid="F3"/>). Considering that the strong halocline effectively separates the surface-layer and deep-water processes, the vorticity seen here and the associated submesoscale structures in Fig. <xref ref-type="fig" rid="F3"/> are most likely generated by flow-topography interactions rather than surface processes. During these pre-storm conditions with winds from south-easterly direction, the dominance of EPV <inline-formula><mml:math id="M94" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0, indicative of BBL overturning instabilities, implies that the western boundary is a pronounced mixing hotspot (Fig. <xref ref-type="fig" rid="F4"/>j).</p>
      <p id="d2e2005">Driven by mostly northerly winds during the storm, however, the direction of the along-slope flow reverses, significantly affecting the vorticity sources and sinks along with the mixing hotspots. Alternating positive/negative BBL vorticity signals, therefore, appear close to the bottom in the snapshots shown in Fig. <xref ref-type="fig" rid="F4"/>, with the signals intensifying during the severe storm episode. These alternating signals (both in time and between east and west) result from the variability of the along-slope flow, and are thus indirectly linked to the transient nature of the wind field, as shown also further below. At the onset of the storm (Fig. <xref ref-type="fig" rid="F4"/>e), the strong northerly winds drive a southward flow in the surface layer, inducing a baroclinic return current in the deeper layers. The roughly two-layer flow in the interior and the emergence of coastal jets aligned with the wind direction at both coasts suggest that the flow exhibits features indicative of Ekman dynamics (see Introduction), as described by <xref ref-type="bibr" rid="bib1.bibx34" id="text.60"/>. Close to the eastern margin, this roughly two-layer flow (more pronounced at the peak of the wind event) generates vorticity with opposite signs above and below the mixed layer (Fig. <xref ref-type="fig" rid="F4"/>h, around 20–21° E). Thus, opposing vertical vorticities are found not only between the eastern and western sides of the basin, but also between the near-surface and deeper layers below the pycnocline.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2019">Temporal evolution of vorticity at the lateral boundaries of the basin. <bold>(a)</bold> Meridional velocity (positive north, into the page) and <bold>(b)</bold> Rossby number (<inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>) at the eastern (red) and western (green) margins of the basin. <bold>(c)</bold> Fraction of the boundary covered by near-zero and negative Ertel potential vorticity (EPV). The gray shaded areas in all panels indicate the duration of the three successive storm episodes. The inset panel in <bold>(a)</bold> shows the boundary region, defined as the area between 80 and 100 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f05.png"/>

      </fig>

      <p id="d2e2056">The opposing vertical vorticity signals between the eastern and western boundaries are more clearly illustrated in Fig. <xref ref-type="fig" rid="F5"/>, which focuses on the near-boundary region. During the first half of the study period, prior to the northerly storm, the dominance of southward along-slope flow (Fig. <xref ref-type="fig" rid="F5"/>a) results in positive <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> at the eastern boundary, while vorticity of opposite sign develops along the western boundary (Fig. <xref ref-type="fig" rid="F5"/>b).  During the prolonged final storm event, however, the along-slope currents reverse direction, accompanied by a corresponding reversal in the sign of the vorticity, consistent with the snapshots shown in Figs. <xref ref-type="fig" rid="F4"/>d–i. Such current reversals following wind reversals in the deeper layers have been reported in previous studies, indicating that the circulation rapidly responds to the atmospheric forcing <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx61 bib1.bibx38" id="paren.61"/>. Note that during the second storm event – characterized by south-southeasterly winds – a predominantly southward interior flow would be expected; however, northward currents are observed along the eastern boundary, likely reflecting the greater wind variability during this event compared to the more persistent northerly winds associated with the final storm. Wind reversals do not necessarily result in an immediate reversal of the current, as the pre-existing flow first needs to adjust to the new wind forcing. The response of Ro therefore depends on the pre-existing flow conditions but also on wind intensity and storm duration. Near-inertial waves are also evident (Fig. <xref ref-type="fig" rid="F5"/>b), with previous studies <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx30" id="paren.62"/> demonstrating that in our study region they play a relatively minor role in boundary mixing (see Introduction).</p>
      <p id="d2e2083">Figure <xref ref-type="fig" rid="F5"/>c further shows the fraction of the near-bottom region occupied by nearly zero and negative EPV. The percentage of low PV, indicative of conditions favorable for overturning instabilities <xref ref-type="bibr" rid="bib1.bibx19" id="paren.63"/>, increases substantially at the eastern boundary during storm periods, reaching nearly 30 % at the peak of the final event, while simultaneously decreasing along the western boundary. Such negative PV values can arise under stable stratification when strong anticyclonic vertical vorticity dominates <xref ref-type="bibr" rid="bib1.bibx23" id="paren.64"/>. Here, the occurrence of negative PV appears to be primarily associated with the direction of the along-slope flow, which, as discussed below, is favorably aligned to trigger downslope Ekman transport, thereby reducing stratification and PV. Overall, Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="F5"/> show that wind reversals frequently followed by current reversals <xref ref-type="bibr" rid="bib1.bibx37" id="paren.65"><named-content content-type="pre">see also</named-content></xref> can lead to alternate <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> and EPV signals within the BBL, suggesting that the submesoscale generation sites and mixing hotspots exhibit transient behavior. These signals are observed to alternate between the eastern and western sides of the basin and intensify locally during storms.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2113">Wind effects on <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> intensity. <bold>(a)</bold> Absolute value of <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> along the lateral boundaries of the basin (blue line), defined as the region between 80 and 100 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (blue shading in the inset panel), at 80 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (black line) and in the basin interior excluding the lateral boundary regions (depth <inline-formula><mml:math id="M103" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> Same as in <bold>(a)</bold> but for strong <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> features (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5). <bold>(c)</bold>  Fraction of the boundary region occupied by ageostrophic features (blue line) and basin-averaged wind speed (purple). Gray shaded areas indicate the duration of the three successive storm episodes.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f06.png"/>

      </fig>

      <p id="d2e2208">While Figs. <xref ref-type="fig" rid="F4"/> and <xref ref-type="fig" rid="F5"/> mainly show that storms are important in regulating the alternating <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> patterns by controlling the direction of the along-slope currents, Fig. <xref ref-type="fig" rid="F6"/> more clearly indicates that storms also influence the magnitude of <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>. The time series display the absolute values of <inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula>) at 80 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, in the interior (depth <inline-formula><mml:math id="M113" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), as well as along the lateral boundaries of the basin (Fig. <xref ref-type="fig" rid="F6"/>a). Consistent with Fig. <xref ref-type="fig" rid="F4"/>, Fig. <xref ref-type="fig" rid="F6"/> exhibits higher <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> values during the severe wind events, suggesting that submesoscale structures are generated. When only the strong <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> values (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5, Fig. <xref ref-type="fig" rid="F6"/>b) are considered, this storm-driven intensification becomes more evident. <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> is higher at the lateral boundaries, further supporting that these areas act as submesoscale generation sites, with the decay time scale for <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> appearing to be of the order of 1 week (see Fig. <xref ref-type="fig" rid="FA1"/> in the Appendix). Low <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> is observed after the second storm event (Fig. <xref ref-type="fig" rid="F6"/>b), when winds weakened and shifted from southward to northward (Fig. <xref ref-type="fig" rid="F1"/>c and Fig. <xref ref-type="fig" rid="FA1"/>). This is partly because the winds should first act to decelerate the pre-existing flow before the current can reverse, suggesting that the response to individual wind events also depends on the pre-existing flow conditions. Figure <xref ref-type="fig" rid="F6"/> further shows that the <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> intensity largely follows the wind variability, albeit with a time lag, especially after wind reversals (e.g., last storm event). By considering only the strong <inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5), we illustrate in Fig. <xref ref-type="fig" rid="F6"/>c the fraction of the boundary occupied by such strong ageostrophic features. This fraction clearly increases during storm periods, reaching approximately 27 % during the final storm episode.</p>
      <p id="d2e2410">Focusing on the eastern boundary (red region in Fig. <xref ref-type="fig" rid="F5"/>a) cross-correlation analysis between the along-slope velocity and <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> shows a maximum correlation at zero lag (<inline-formula><mml:math id="M127" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.84), confirming that <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> is tightly linked to the current. Consistent with Fig. <xref ref-type="fig" rid="F5"/>, the negative correlation indicates that the sign and magnitude of <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> follow the direction and strength of the current, becoming increasingly negative as the northward current strengthens and positive when the current is southward (see Appendix, Fig. <xref ref-type="fig" rid="FA2"/>). Moreover, a maximum correlation of <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> at a lag of approximately 13 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> was found between <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> at the eastern boundary and the meridional wind component, suggesting that changes in wind forcing are followed by a response in <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> on a timescale comparable to the local inertial period. Note that we use the meridional wind component here because the storm events are predominantly oriented in the north–south direction, and the meridional component is approximately aligned with the alongshore direction at the eastern boundary. Focusing on the entire Eastern Gotland Basin, the wind field and the interior current were strongly correlated (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.69</mml:mn></mml:mrow></mml:math></inline-formula>) at a lag of 14 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. Similar results were obtained when correlating the current magnitude specifically in the boundary region (blue shading in the inset panel of Fig. <xref ref-type="fig" rid="F6"/>a) with the magnitude of the meridional wind component (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>, lag <inline-formula><mml:math id="M139" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) and the magnitude of the meridional wind stress (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.82</mml:mn></mml:mrow></mml:math></inline-formula>, lag <inline-formula><mml:math id="M142" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>). Overall, our analyses indicate that storms affect the magnitude and, most importantly, the sign of vorticity – by reversing the interior currents. This reveals a clear dynamical link between wind forcing and near-bottom flow, providing new insights into the dynamics of submesoscale phenomena in wind-driven basins.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2576">Instability analysis and energy dissipation at the eastern boundary of the basin, defined as the region between 80 and 100 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (red shading in the inset panel). <bold>(a)</bold> Fraction of the boundary that is unstable to symmetric instability (SI, blue line), centrifugal instability (CI, yellow), and gravitational instability (GI, green). The red line indicates the EPV <inline-formula><mml:math id="M145" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 regions that are, however, gravitationally stable (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> Temporal evolution of dissipation rate, <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, spatially averaged at 80 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth over the entire domain (black line; including the boundary region shown by the blue shading in the inset panel of Fig. <xref ref-type="fig" rid="F6"/>a) and over the eastern boundary only (red line; red shading in the inset panel).</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f07.png"/>

      </fig>

</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Storm-forced BBL instabilities</title>
      <p id="d2e2647">Regions with negative EPV in a sloping BBL indicate that the flow is prone to overturning instabilities. To explore the temporal evolution of the various instability types (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>), namely gravitational (GI), symmetric (SI), and centrifugal instability (CI), we focus specifically on the eastern boundary of the basin where, as seen in Fig. <xref ref-type="fig" rid="F5"/>c, the EPV <inline-formula><mml:math id="M149" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 regions increase substantially during storms. Figure <xref ref-type="fig" rid="F7"/>a illustrates the fraction of the near-bottom region that is unstable to each instability type. SI (blue line) clearly dominates throughout the entire study period, with the GI (green line) percentages increasing during the two severe wind episodes. The fraction of the domain that satisfies the SI criteria increases significantly during and after the last storm event, reaching approximately 25 %. As briefly discussed below, this effect can be largely traced to a wind-induced reversal of the along-slope currents northward (Fig. <xref ref-type="fig" rid="F5"/>a, red line), which are downwelling-favorable (i.e., downslope Ekman transport) and therefore support the evolution of SI. The fraction of the domain satisfying the CI conditions remains small (yellow line in Fig. <xref ref-type="fig" rid="F7"/>a). This may be due to the lack of steep bathymetry, which has been seen to favor CI emergence <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx57" id="paren.66"/>. It may also be due to the method used here to distinguish between the different instability types. As shown in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>, the applied instability criteria are rather crude and do not consider mixed modes. In the BBL, however, mixed centrifugal-symmetric modes have been seen to dominate <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx32" id="paren.67"/>. These instabilities trigger vigorous turbulent mixing in the BBL, with the negative PV values typically coinciding with high energy dissipation <xref ref-type="bibr" rid="bib1.bibx23" id="paren.68"/>. Here, enhanced energy dissipation rates are observed along the basin boundary (Fig. <xref ref-type="fig" rid="F7"/>b), and they intensify substantially during storms, pointing to a dynamical association with the low-PV regions.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Summary and Conclusions</title>
      <p id="d2e2689">We have used a realistic high-resolution simulation to explore the genesis of interior submesoscale phenomena in a semi-enclosed, predominantly wind-driven basin and to elucidate the impact of storm events on deep-water submesoscale dynamics. Focusing on the central basin of the Baltic Sea, we find that a wealth of filamentary and eddy-like features populate the basin's interior, below the main pycnocline. To the best of our knowledge, these interior structures have not been investigated previously in the Baltic Sea, with existing studies <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx12 bib1.bibx38" id="paren.69"><named-content content-type="pre">e.g.,</named-content></xref> focusing primarily on submesoscale activity in the surface mixed layer. Our results show that surface and subsurface submesoscales can coexist while remaining largely decoupled from each other. As storm-intensified currents interact with the sloping bottom, anomalies in relative vorticity and EPV are generated through frictional and diabatic processes within the BBL <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx57" id="paren.70"/>. These strong vorticity anomalies are subsequently exported from the boundary into the stratified interior in the form of eddies, fronts and filaments, which are inherently submesoscales and act to facilitate the boundary-interior exchanges. The latter provides a missing link connecting the observation of enhanced boundary mixing in the Baltic Sea with the finding that boundary mixing determines basin-scale deep-water mixing, which implies a connection between the BBL and the interior region <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx35" id="paren.71"/>.</p>
      <p id="d2e2703">The most energetic submesoscale features appear during storms, with wind forcing indirectly modulating these motions by altering the interior circulation. Strong correlations are found between wind forcing and deep-water circulation, as well as between Ro and along-slope flow. Such along-slope flows may be either directly wind-driven, as described by <xref ref-type="bibr" rid="bib1.bibx34" id="text.72"/>, or indirectly mediated by near-inertial and topographic waves <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx30" id="paren.73"/>, or different types of seiching motions <xref ref-type="bibr" rid="bib1.bibx59" id="paren.74"/>. By analyzing a series of sequential storm events with opposing winds, we also found that variability in wind direction is important in determining both the submesoscale generation sites and the mixing hotspots, which in turn exhibit transient behavior. Wind reversals reverse the currents, generating oppositely-signed <inline-formula><mml:math id="M150" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula> and EPV in the BBL, with EPV <inline-formula><mml:math id="M151" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 indicating conditions favorable to overturning instabilities <xref ref-type="bibr" rid="bib1.bibx19" id="paren.75"/>. In addition to wake instabilities arising in the lee of topography due to flow–topography interactions <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx16 bib1.bibx22" id="paren.76"/>, such overturning instabilities can also develop within the BBL due to cross-slope Ekman transport induced by along-slope currents <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx57 bib1.bibx32" id="paren.77"/>. These instabilities typically occur when the along-slope flow is favorably aligned (i.e. with the coast on its right in the Northern Hemisphere) to trigger downslope Ekman transport, such that lighter fluid is advected beneath denser fluid, leading to boundary layer thickening, enhanced mixing, and reduction of PV <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx2 bib1.bibx53" id="paren.78"/>. This is consistent with Figs. <xref ref-type="fig" rid="F3"/>–<xref ref-type="fig" rid="F5"/>, which show enhanced PV destruction, particularly when the storm-intensified along-boundary flow is downwelling-favorable.</p>
      <p id="d2e2746">One of the key findings of our study is therefore that intense and variable winds can strongly influence interior submesoscale dynamics. Storms not only modulate the strength of submesoscales by altering the intensity of along-slope currents, but they also generate alternating BBL mixing hotspots (both in time and between the eastern and western sides of the basin) by continuously shifting the direction of the interior currents. Such wind-induced current reversals <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx36" id="paren.79"/>, leading to alternating mixing hotspots, are likely to occur in other marine and limnic systems where circulation is primarily driven by transient wind events, but they are generally not expected in major current systems where the flow direction is predominantly steady. Nevertheless, the main dynamical mechanisms described here are broadly consistent with previous studies that examined similar submesoscale features, albeit in the open ocean, particularly in regions where energetic, steady currents flow over steep topography <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx44 bib1.bibx60" id="paren.80"/>.</p>
      <p id="d2e2755">The Baltic Sea, largely unexplored in terms of interior submesoscale dynamics, provides a natural laboratory for studying these processes in a semi-enclosed, wind-driven basin. Most of the dynamical mechanisms identified here are not unique to the Baltic, suggesting that our findings may be broadly applicable to other semi-enclosed, wind-driven marine basins, such as the Black Sea and Caspian Sea, as well as large limnic systems like the Great Lakes and Lake Geneva. In Lake Geneva, submesoscale motions have recently been observed in the surface layer <xref ref-type="bibr" rid="bib1.bibx26" id="paren.81"/>, while strong boundary mixing – potentially linked to submesoscale instabilities – has been detected in the interior by glider measurements <xref ref-type="bibr" rid="bib1.bibx47" id="paren.82"/>.</p>
      <p id="d2e2765">For the Baltic Sea, future work could assess the influence of the slope Burger number (Bu) in modulating the occurrence of negative EPV along the basin's boundaries. As Bu in the Baltic Sea varies broadly and often abruptly, idealized modelling work <xref ref-type="bibr" rid="bib1.bibx40" id="paren.83"><named-content content-type="pre">e.g.,</named-content></xref>, including sensitivity experiments with different slopes and stratification conditions, could shed light on the nature of instabilities <xref ref-type="bibr" rid="bib1.bibx58" id="paren.84"/> that emerge as wind-driven flows interact with sloping boundaries.</p>
      <p id="d2e2776">In conclusion, our work shows that variable wind forcing over sloping basin boundaries can generate a rich field of submesoscale motions via a breadth of dynamical pathways. These pathways include many canonical scenarios such as topographic wakes and instabilities within the BBL considered by past theoretical and idealised modeling studies, while extending the range of topographic and ambient flow conditions in which submesoscales may develop. This result suggests that intense and variable wind forcing over sloping topography can be particularly effective in promoting near-boundary mixing, energy dissipation, and boundary-interior exchange, and calls for an investigation of our findings' generality to other transient wind-driven basins.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Response of vertical vorticity to wind events</title>
      <p id="d2e2790">Although a detailed description of the effects of storms on <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> is provided in Sect. <xref ref-type="sec" rid="Ch1.S5"/>, the study period – corresponding to a field campaign – is relatively short. Hence, to illustrate the broader impact of storms on <inline-formula><mml:math id="M153" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> magnitude during autumn, a two-month time series is shown in Fig. <xref ref-type="fig" rid="FA1"/>. A relatively moderate increase in <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> is observed during wind events, followed by a gradual decay over a time scale of one week. Consistent with Fig. <xref ref-type="fig" rid="F6"/>, higher <inline-formula><mml:math id="M155" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> values are found near the lateral margins of the basin, where submesoscales are generated, with <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> peaking during the 30 October storm event (Fig. <xref ref-type="fig" rid="FA1"/>b). The <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> variability is, however, relatively low, suggesting that submesoscales might be active most of the time. This might be further related to the stormy season examined here, as the successive storm events and the overall strong winds (Fig. <xref ref-type="fig" rid="FA1"/>a) helped to sustain generally elevated <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> values.</p><fig id="FA1"><label>Figure A1</label><caption><p id="d2e2876"><bold>(a)</bold> Basin-averaged wind speed and direction, <bold>(b)</bold> absolute value of <inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> at 80 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (black line) and near the lateral boundaries of the basin (red line), defined as the area between 80 and 120 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (green region in the inset panel). <bold>(c)</bold> Same as before, but for the strong <inline-formula><mml:math id="M162" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> features (defined as <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M164" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.6). The purple line indicates the spatially averaged wind speed. The study period is indicated by the light yellow shaded area.</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f08.png"/>

      </fig>

      <p id="d2e2945">The impact of storms on the magnitude of vorticity is more pronounced when only the strong <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> values (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M167" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.6, Fig. <xref ref-type="fig" rid="FA1"/>c) are considered, with the deep-water <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> significantly increasing when the wind increases. Nevertheless, continuous shifts in wind direction strongly affect the <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> intensity, leading to reduced vorticities even under relatively strong winds. This is evident, for example, during 9–17 October, when <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> decreased substantially (Fig. <xref ref-type="fig" rid="FA1"/>c) despite the moderately high wind speeds (Fig. <xref ref-type="fig" rid="FA1"/>a). Overall, Fig. <xref ref-type="fig" rid="FA1"/> shows, as in Fig. <xref ref-type="fig" rid="F6"/>, that <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:mi mathvariant="italic">Ro</mml:mi><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> largely follows the wind variability, albeit with a time lag, especially after wind reversals (e.g., the 30 October storm episode). Wind reversals do not necessarily result in an immediate reversal of the current, as the pre-existing flow first needs to adjust to the new wind forcing (e.g., following the 25 October wind event). The response of <inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> therefore depends on the pre-existing flow conditions but also on wind intensity and storm duration.</p>
      <p id="d2e3043">Focusing on the eastern boundary of the basin (red shaded area in Fig. <xref ref-type="fig" rid="F5"/>a), cross-correlation analysis between the along-slope velocity and Ro (Fig. <xref ref-type="fig" rid="FA2"/>) yields a maximum of <inline-formula><mml:math id="M173" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.84 at zero lag, demonstrating a strong inverse relationship between Ro and the along-slope flow. Stronger northward flow (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) is associated with increasingly negative <inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula>, and vice versa, in agreement with Figs. <xref ref-type="fig" rid="F3"/>–<xref ref-type="fig" rid="F5"/>. This behavior is consistent with numerous studies <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx22 bib1.bibx23" id="paren.85"/> showing that flow–topography interactions can generate either anticyclonic or cyclonic relative vorticity, depending on the direction of the interior flow relative to the coast (see Introduction).</p><fig id="FA2"><label>Figure A2</label><caption><p id="d2e3101">Correlation between along-slope velocity and <inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="italic">Ro</mml:mi></mml:math></inline-formula> at the eastern boundary of the basin (red shaded area in Fig. <xref ref-type="fig" rid="F5"/>a).</p></caption>
        
        <graphic xlink:href="https://os.copernicus.org/articles/22/3037/2026/os-22-3037-2026-f09.png"/>

      </fig>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e3125">The data that support the findings of this study are openly available at <ext-link xlink:href="https://doi.org/10.12754/data-2025-0006" ext-link-type="DOI">10.12754/data-2025-0006</ext-link> <xref ref-type="bibr" rid="bib1.bibx11" id="paren.86"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3138">EC, LU, HB, and ANG contributed to the conception and design of the study. EC conducted the simulations, performed the data analyses, and drafted the initial version of the manuscript. EC, LU, HB, UG, and ANG reviewed and edited the manuscript and approved the final submitted version.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3146">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3153">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3160">This paper is a contribution to the Collaborative Research Centre TRR 181 Energy Transfers in Atmosphere and Ocean, funded by the German Research Foundation (DFG), project number 274762653. We are grateful to the two anonymous reviewers for their insightful comments and constructive suggestions, which helped improve the manuscript. The authors also acknowledge the North-German Supercomputing Alliance (HLRN) for providing HPC resources that have contributed to the research results reported in this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3167">This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. 274762653).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3174">This paper was edited by Katsuro Katsumata and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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