<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<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-8-813-2012</article-id>
<title-group>
<article-title>High frequency fluctuations in the heat content of an ocean general  circulation model</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Huerta-Casas</surname>
<given-names>A. M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Webb</surname>
<given-names>D. J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>National Oceanography Centre, Southampton SO14 3ZH, UK</addr-line>
</aff>
<pub-date pub-type="epub">
<day>27</day>
<month>09</month>
<year>2012</year>
</pub-date>
<volume>8</volume>
<issue>5</issue>
<fpage>813</fpage>
<lpage>825</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 A. M. Huerta-Casas</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://os.copernicus.org/articles/8/813/2012/os-8-813-2012.html">This article is available from https://os.copernicus.org/articles/8/813/2012/os-8-813-2012.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/8/813/2012/os-8-813-2012.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/8/813/2012/os-8-813-2012.pdf</self-uri>
<abstract>
<p>The transport and storage of heat by the ocean is of crucial
importance because of its effect on ocean dynamics and its impact on the
atmosphere, climate and climate change. Unfortunately, limits to the amount
of data that can be collected and stored mean that many experimental and
modelling studies of the heat budget have to make use of mean datasets where
the effects of short term fluctuations are lost.
&lt;br&gt;&lt;br&gt;
In this paper we investigate the magnitude of the resulting errors by making use
of data from OCCAM, a high resolution global ocean model. The model carries
out a proper heat balance every time step so any imbalances that are found in
the analysis must result from the use of mean fields.
&lt;br&gt;&lt;br&gt;
The study concentrates on two areas of the ocean affecting the El Nino. The
first is the region of tropical instability waves north of the Equator. The
second is in the upwelling region along the Equator.
&lt;br&gt;&lt;br&gt;
It is shown that in both cases, processes with a period of less than
five days can have a significant impact on the heat budget. Thus, analyses
using data averaged over five days or more are likely to have significant
errors. It is also shown that if a series of instantaneous values
is available, reasonable estimates can be made of the size of the
errors. In model studies, such values are available in the form of
the datasets used to restart the model. In experimental studies they
may be in the form of individual unaveraged observations.</p>
</abstract>
<counts><page-count count="13"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Arakawa, A.: Computational design for long-term numerical integration of the equations of fluid motion: Two dimensional incompressible flow, Part I, J. Comput. Phys., 1, 119–143, 1966.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bonjean, F. and Lagerloef, G.: Diagnostic Model and Analysis of the Surface Currents in the Tropical Pacific Ocean, J. Phys. Oceanogr., 32, 2938–2954, 2002.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Bryan, K.: A numerical method for the study of the circulation of the world ocean, J. Comput. Phys., 4, 347–376, 1969.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Bryden, H. and Brady, E.: Eddy momentum and heat fluxes and their effects on the circulation of the equatorial Pacific-Ocean, J. Mar.  Res., 47, 55–79, 1989.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Cox, M.&amp;nbsp;D.: A primitive equation 3-dimensional model of the ocean, Tech. Rep.&amp;nbsp;1, GFDL Ocean Group Techincal Report, Princeton Univ., Princeton, NJ, USA, 1984.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Dong, S., Gille, S.&amp;nbsp;T., and Sprintall, J.: An assessment of the Southern Ocean mixed layer heat budget, J. Climate, 20, 4425–4442, &lt;a href=&quot;http://dx.doi.org/10.1175/JCLI4259.1&quot;&gt;https://doi.org/10.1175/JCLI4259.1&lt;/a&gt;, 2007a.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Dong, S., Hautala, S.&amp;nbsp;L., and Kelly, K.&amp;nbsp;A.: Interannual variations in upper-ocean heat content and heat transport convergence in the western North Atlantic, J. Phys. Oceanogr., 37, 2682–2697, &lt;a href=&quot;http://dx.doi.org/10.1175/2007JPO3645.1&quot;&gt;https://doi.org/10.1175/2007JPO3645.1&lt;/a&gt;, 2007b.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Farrow, D.&amp;nbsp;E. and Stevens, D.&amp;nbsp;P.: A New Tracer Advection Scheme for Bryan and Cox Type Ocean General Circulation Models, J. Phys. Oceanogr., 25, 1731–1741, 1995.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Halpern, D.: Observations of annual and El Nino thermal and flow variations at 0°, 110° W and 0°, 95° W during 1980–1985, J. Geophys. Res.-Oceans, 92, 8197–8212, 1987.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Hansen, D. and Paul, C.: Genesis and Effects of Long Waves in the Equatorial Pacific, J. Geophys. Res., 89, 10431–10440, 1984.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Killworth, P., Stainforth, D., Webb, D., and Paterson, S.: The development of a free surface Bryan-Cox-Semtner ocean model, J. Phys. Oceanogr., 21, 1333–1348, 1991.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Lee, T., Fukumori, I., and Tang, B.: Temperature advection: Internal versus external processes, J. Phys. Oceanogr., 34, 1936–1944, 2004.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Leonard, B.: A stable and accurate convection modelling procedure based on quadratic upstream interpolation, Comput. Method. Appl. M., 19, 59–98, 1979.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Levitus, S.: Climatological Atlas of the World Oceans, NOAA professional Paper, Washington DC, p. 173, 1982.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Levitus, S. and Boyer, T.: World Ocean Altas 1994, Temperature, NOAA Atlas, 4, p. 177, 1994.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Levitus, S., Burgett, R., and Boyer, T.: World Ocean Atlas 1994, Salinity, NOAA Atlas, 3, 99 pp., 1994.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Levitus, S., Antonov, J., Wang, J., Delworth, T., Dixon, K., and Broccoli, A.: Anthropogenic warming of Earth&apos;s climate system, Science, 292, 267–270, 2001.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Markus, J., Cronin, M., Kessler, W., and Shea, D.: Observed horizontal temperature advection by tropical instability waves, Geophys. Res. Lett., 34, L09604, &lt;a href=&quot;http://dx.doi.org/10.1029/2007GL029416&quot;&gt;https://doi.org/10.1029/2007GL029416&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Pacanowski, R.&amp;nbsp;C. and Philander, S.&amp;nbsp;G.: Parameterization of vertical mixing in numerical models of Tropical Oceans, J. Phys. Oceanogr., 11, 1443–1451, 1981.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Semtner, A.: A general circulation model for the World Ocean., Tech. Rep.&amp;nbsp;9, Department of Meteorology, University of California, Los Angeles, 1974.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Siefridt, L. and Barnier, B.: Banque de Donees AVISO Vent/flux: Climatologie des Analyses de Surface du CEPMMT, Report No. 91, 025, 43, 1993.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Webb, D.&amp;nbsp;J.: The Vertical Advection of Momentum in Bryan-Cox-Semtner Ocean General Circulation Models, J. Phys. Oceanogr., 25, 3186–3195, 1995.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Webb, D.&amp;nbsp;J., de&amp;nbsp;Cuervas, B.&amp;nbsp;A., and Richmond, C.&amp;nbsp;S.: Improved advection schemes for ocean models, J. Atmos. Ocean. Tech., 1998.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Wells, N. C., Josey, S. A., and Hadfield, R. E.: Towards closure of regional heat budgets in the North Atlantic using Argo floats and surface flux datasets, Ocean Sci., 5, 59–72, &lt;a href=&quot;http://dx.doi.org/10.5194/os-5-59-2009&quot;&gt;https://doi.org/10.5194/os-5-59-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Willis, J., Roemmich, D., and Cornuelle, B.: Interannual variability in upper ocean heat content, temperature, and thermosteric expansion on global scales, J. Geophys. Res.-Oceans, 109, &lt;a href=&quot;http://dx.doi.org/10.1029/2003JC002260&quot;&gt;https://doi.org/10.1029/2003JC002260&lt;/a&gt;, 2004.</mixed-citation>
</ref>
</ref-list>
</back>
</article>