Articles | Volume 17, issue 3
https://doi.org/10.5194/os-17-615-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/os-17-615-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| Highlight paper
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05 May 2021
Research article | Highlight paper |
| 05 May 2021
| 05 May 2021
FES2014 global ocean tide atlas: design and performance
Florent H. Lyard
CORRESPONDING AUTHOR
LEGOS, Université de Toulouse, CNES, CNRS, IRD, Toulouse, France
Damien J. Allain
LEGOS, Université de Toulouse, CNES, CNRS, IRD, Toulouse, France
Mathilde Cancet
NOVELTIS, Labège, 31670, France
Loren Carrère
CLS, Ramonville-Saint-Agne, 31520, France
Nicolas Picot
DSO/OT, CNES, Toulouse, 31400, France
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Simon Barbot, Florent Lyard, Michel Tchilibou, and Loren Carrere
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Internal tides are responsible for surface deformations of the ocean that could affect the measurements of the forthcoming SWOT altimetric mission and need to be corrected. This study highlights the variability of the properties of internal tides based on the stratification variability only. A single methodology is successfully applied in two areas driven by different oceanic processes: the western equatorial Atlantic and the Bay of Biscay.
Sandrine Mulet, Marie-Hélène Rio, Hélène Etienne, Camilia Artana, Mathilde Cancet, Gérald Dibarboure, Hui Feng, Romain Husson, Nicolas Picot, Christine Provost, and P. Ted Strub
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Satellite altimetry has revolutionized ocean observation by allowing the sea level to be monitored with very good spatiotemporal coverage. However, only the sea level anomalies are retrieved; to monitor the whole oceanic signal a temporal mean (called mean dynamic topography, MDT) must be added to these anomalies. In this study we present the newly updated CNES-CLS18 MDT. An evaluation of this new solution shows significant improvements in both strong currents and coastal areas.
Loren Carrere, Brian K. Arbic, Brian Dushaw, Gary Egbert, Svetlana Erofeeva, Florent Lyard, Richard D. Ray, Clément Ubelmann, Edward Zaron, Zhongxiang Zhao, Jay F. Shriver, Maarten Cornelis Buijsman, and Nicolas Picot
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Internal tides can have a signature of several centimeters at the ocean surface and need to be corrected from altimeter measurements. We present a detailed validation of several internal-tide models using existing satellite altimeter databases. The analysis focuses on the main diurnal and semidiurnal tidal constituents. Results show the interest of the methodology proposed, the quality of the internal-tide models tested and their positive contribution for estimating an accurate sea level.
Cited articles
Amante, C. and Eakins, B. W.: ETOPO1 1 Arc-Minute Global Relief Model:
Procedures, Data Sources and Analysis, NOAA Technical Memorandum NESDIS
NGDC-24, National Geophysical Data Center, NOAA https://doi.org/10.7289/V5C8276M, 2009.
Antonov, J. I., Seidov, D., Boyer, T. P., Locarnini, R. A., Mishonov, A. V.,
Garcia, H. E., Baranova, O. K., Zweng, M. M., and Johnson, D. R.: World
Ocean Atlas 2009, Volume 2: Salinity, available at:
ftp://ftp.nodc.noaa.gov/pub/WOA09/DOC/woa09_vol2_text.pdf (last access: 28 March 2021), 2010.
Arbic, B. K., Alford, M. H., Ansong, J. K., Buijsman, M. C., Ciotti, R. B.,
Farrar, J. T., Hallberg, R. W., Henze, C. E., Hill, C. N., Luecke, C. A., Menemenlis, D. Metzger, E. J., Müller, M., Nelson, A. D., Nelson, B. C., Ngodock, H. E. Ponte, R. M., Richman, J. G., Savage, A. C., Scott, R. B., Shriver, J. F., Simmons, H. L.,
Souopgui, I., Timko, P. G., Wallcraft, A. J., Zamudio, L., and Zhao, Z.: A primer on global internal tide and internal gravity wave continuum modeling in HYCOM and MITgcm, in: New frontiers in operational oceanography, edited by: Chassignet, E. Pascual, A. Tintore, J., and Verron, J., GODAE, OceanView, 307–392, https://doi.org/10.17125/gov2018.ch13, 2018
Baines, P.: On internal tide generation models, Deep Sea Res. Pt. A,
Oceanographic Research Papers, 29, 307–338,
https://doi.org/10.1016/0198-0149(82)90098-X, 1982.
Bell, T. H.: Topographically induced internal waves in the open ocean,
J. Geophys. Res., 80, 320–327,
https://doi.org/10.1029/JC080i003p00320, 1975.
Bennett, A. F.: Inverse Methods in Physical Oceanography, Cambridge
Monographs on Mechanics, Cambridge University Press, University Printing House, Shaftesbury Road, Cambridge, CB2 8BS, United Kingdom,
https://doi.org/10.1017/CBO9780511600807, 1992.
Bennett, A. F. and McIntosh, P. C.: Open Ocean Modeling as an Inverse
Problem: Tidal Theory, J. Phys. Oceanogr., 12, 1004–1018,
https://doi.org/10.1175/1520-0485(1982)012< 1004:OOMAAI>2.0.CO;2, 1982.
Carrère, L. and Lyard, F.: Modeling the barotropic response of the
global ocean to atmospheric wind and pressure forcing – comparisons with
observations, Geophys. Res. Lett., 30, 1275,
https://doi.org/10.1029/2002GL016473, 2003.
Carrere, L., Faugère, Y., and Ablain, M.: Major improvement of altimetry sea level estimations using pressure-derived corrections based on ERA-Interim atmospheric reanalysis, Ocean Sci., 12, 825–842, https://doi.org/10.5194/os-12-825-2016, 2016.
Carton, J. A. and Wahr, J. M.: Modelling the pole tide and its effect on the
Earth's rotation, Geophys. J. Int., 84, 121–137,
https://doi.org/10.1111/j.1365-246X.1986.tb04348.x, 1986.
Cao, A.-Z., Li, B.-T., and Lv, X.-Q.: Extraction of Internal Tidal Currents
and Reconstruction of Full-Depth Tidal Currents from Mooring Observations,
J. Atmos. Ocean. Tech., 32, 1414–1424,
https://doi.org/10.1175/JTECH-D-14-00221.1, 2015.
Cherniawsky, J. Y., Foreman, M. G. G., Crawford, W. R., and Henry, R. F.:
Ocean Tides from TOPEX/Poseidon Sea Level Data, J. Atmos.
Ocean. Tech., 18, 649–664, https://doi.org/10.1175/1520-0426(2001)018< 0649:OTFTPS>2.0.CO;2, 2001.
Desai, S. D. and Ray, R. D.: Consideration of tidal variations in the
geocenter on satellite altimeter observations of ocean tides, Geophys.
Res. Lett., 41, 2454–2459, https://doi.org/10.1002/2014GL059614,
2014.
Desai, S., Wahr, J. and Beckley, B.: Revisiting the pole tide for and from
satellite altimetry, J. Geod. 89, 1233–1243,
https://doi.org/10.1007/s00190-015-0848-7, 2015.
Egbert, G. D. and Erofeeva, S. Y.: Efficient Inverse Modeling of Barotropic
Ocean Tides, J. Atmos. Ocean. Tech., 19, 183–204, https://doi.org/10.1175/1520-0426(2002)019<
0183:EIMOBO>2.0.CO;2, 2002.
Egbert, G. D. and Ray, R. D.: Estimates of M2 tidal energy dissipation from
TOPEX/Poseidon altimeter data, J. Geophys. Res.-Oceans, 106,
22475–22502, https://doi.org/10.1029/2000JC000699, 2001.
Ferry, N., Parent, L., Garric, G., Bricaud, C., Testut, C.-E., Galloudec, O.
L., Lellouche, J.-M., Drévillon, M., Greiner, E., Barnier, B., Molines,
J.-M., Jourdain, N., Guinehut, S., Cabanes, C., and Zawadzki, L.: GLORYS2V1
global ocean reanalysis of the altimetric era (1993–2009) at meso scale,
Mercator Ocean Quaterly Newsletter, 44, 28–39, 2012.
GEBCO Bathymetric Compilation Group 2020: The GEBCO_2020 Grid – a continuous terrain model of the global oceans and land. British Oceanographic Data Centre, National Oceanography Centre, NERC, UK, https://doi.org/10/dtg3, 2020.
Gill, A.: Atmosphere-Ocean Dynamics, in: International Geophysics, vol. 30,
Academic Press, 1st edn., 1982.
Gjevik, B., Nøst, E., and Straume, T.: Model simulations of the tides in
the Barents Sea, J. Geophys. Res.-Oceans, 99, 3337–3350,
https://doi.org/10.1029/93JC02743, 1994.
Godin, G.: Modification by an Ice Cover of the Tide in James Bay and Hudson
Bay, Arctic, 39, 65–67, https://www.jstor.org/stable/40510440 (last access: 28 March 2021),
1986.
Hendershott, M. C.: The Effects of Solid Earth Deformation on Global Ocean
Tides, Geophys. J. Roy. Astr. S., 29, 389–402,
https://doi.org/10.1111/j.1365-246X.1972.tb06167.x, 1972.
Holgate, S. J., Matthews, A., Woodworth, P. L., Rickards, L. J., Tamisiea,
M. E., Bradshaw, E., Foden, P. R., Gordon, K. M., Jevrejeva, S., and Pugh,
J.: New Data Systems and Products at the Permanent Service for Mean Sea
Level, J. Coast. Res. 29, 493–504,
https://doi.org/10.2112/JCOASTRES-D-12-00175.1, 2013.
Johnson, L. W. and Riess, R. D.: Numerical Analysis, Addison-Wesley
Publishing Company, 1982.
Kodaira, T., Thompson, K. R., and Bernier, N. P.: Prediction of M2
tidal surface currents by a global baroclinic ocean model and evaluation
using observed drifter trajectories, J. Geophys. Res.-Oceans, 121, 6159–6183, https://doi.org/10.1002/2015JC011549, 2016
Kowalik, Z.: A Study of the M-2 Tide in the Ice-Covered Arctic Ocean,
Model. Ident. Control, 2, 201–223, https://doi.org/10.4173/mic.1981.4.2, 1981.
Kowalik, Z. and Proshutinsky, A. Y.: The Arctic Ocean Tides, in: The Polar
Oceans and Their Role in Shaping the Global Environment, 85, 137–158,
https://doi.org/10.1029/GM085p0137, 1994.
Lefèvre, F., Lyard, F. H., Provost, C. L., and Schrama, E. J. O.: FES99:
A Global Tide Finite Element Solution Assimilating Tide Gauge and Altimetric
Information, J. Atmos. Ocean. Tech., 19, 1345–1356,
https://doi.org/10.1175/1520-0426(2002)019< 1345:FAGTFE>2.0.CO;2, 2002.
Le Provost, C. and Vincent, P.: Some tests of precision for a finite element
model of ocean tides, J. Computat. Phys., 65, 273–291,
https://doi.org/10.1016/0021-9991(86)90209-3, 1986.
Le Provost, C. and Lyard, F.: Energetics of the M2 barotropic ocean tides:
an estimate of bottom friction dissipation from a hydrodynamic model,
Prog. Oceanogr., 40, 37–52,
https://doi.org/10.1016/S0079-6611(97)00022-0, 1997.
Le Roux, D. Y., Rostand, V., and Pouliot, B.: Analysis of Numerically
Induced Oscillations in Two-Dimensional Finite-Element Shallow-Water Models
Part I: Inertia-Gravity Waves, SIAM J. Sci. Comput., 29,
331–360, https://doi.org/10.1137/060650106, 2007.
Locarnini, R. A., Mishonov, A. V., Antonov, J. I., Boyer, T. P., Garcia, H.
E., Baranova, O. K., Zweng, M. M., and Johnson, D. R.: World Ocean Atlas
2009, Volume 1: Temperature, available at:
ftp://ftp.nodc.noaa.gov/pub/WOA09/DOC/woa09_vol1_text.pdf (last access: 28 March 2021), 2010.
Lyard, F. H.: The tides in the Arctic Ocean from a finite element model,
J. Geophys. Res.-Oceans, 102, 15611–15638,
https://doi.org/10.1029/96JC02596, 1997.
Lyard, F. H.: Data Assimilation in a Wave Equation: A Variational
Representer Approach for the Grenoble Tidal Model, J. Comput. Phys., 149, 1–31, https://doi.org/10.1006/jcph.1998.5966, 1999.
Lyard, F., Lefevre, F., Letellier, T., and Francis, O.: Modelling the global
ocean tides: modern insights from FES2004, Ocean Dynam., 56, 394–415,
https://doi.org/10.1007/s10236-006-0086-x, 2006.
Lynch, D. R. and Gray, W. G.: A wave equation model for finite element tidal
computations, Comput. Fluids, 7, 207–228,
https://doi.org/10.1016/0045-7930(79)90037-9, 1979.
Maraldi, C., Chanut, J., Levier, B., Reffray, G., Ayoub, N., De Mey, P., Lyard, F., Cailleau, S., Drévillon, M., Fanjul, E. A., Sotillo, M. G., Marsaleix, P., and the Mercator Team: NEMO on the shelf: assessment of the Iberia–Biscay–Ireland configuration, Ocean Sci. Discuss., 9, 499–583, https://doi.org/10.5194/osd-9-499-2012, 2012.
Morrow, R., Fu, L.-L., Ardhuin, F., Benkiran, M., Chapron, B., Cosme, E.,
d'Ovidio, F., Farrar, J. T., Gille, S. T., Lapeyre, G., Traon, P.-Y. L.,
Pascual, A., Ponte, A., Qiu, B., Rascle, N., Ubelmann, C., Wang, J., and
Zaron, E. D.: Global Observations of Fine-Scale Ocean Surface Topography
With the Surface Water and Ocean Topography (SWOT) Mission, Front.
Marine Sci., 6, 232, https://doi.org/10.3389/fmars.2019.00232, 2019.
Nugroho, D.: The Tides in a general circulation model in the Indonesian
Seas, PhD thesis, Université Toulouse 3 Paul Sabatier (UT3 Paul
Sabatier), available at: http://tel.archives-ouvertes.fr/tel-01556796v2 (last access: 28 March 2021), 2017.
Pugh, D. and Woodworth, P.: Sea-Level Science: Understanding Tides, Surges,
Tsunamis and Mean Sea-Level Changes, Cambridge University Press,
https://doi.org/10.1017/CBO9781139235778, 2014.
Ray, R. D.: Precise comparisons of bottom-pressure and altimetric ocean
tides, J. Geophys. Res.-Oceans, 118, 4570–4584,
https://doi.org/10.1002/jgrc.20336, 2013.
Ray, R. D., Loomis, B. D., Luthcke, S. B., and Rachlin, K. E.: Tests of
ocean-tide models by analysis of satellite-to-satellite range measurements:
an update, Geophys. J. Int., 217, 1174–1178,
https://doi.org/10.1093/gji/ggz062, 2019.
Savcenko, R. and Bosch, W.: EOT11a – empirical ocean tide model from
multi-mission satellite altimetry, DGFI Report, 89,
available at: http://epic.awi.de/id/eprint/36001/1/DGFI_Report_89.pdf (last access: 28 March 2021), 2012.
Shum, C. K., Woodworth, P. L., Andersen, O. B., Egbert, G., Francis, O., King, C., Klosko, S., Le Provost, C., Li, X., Molines, J. M., Parke, M., Ray, R., Schlax, M., Stammer, D., Temey, C., Vincent, P., and Wunsch, C.: Accuracy assessment of recent ocean tide models, J. Geophys. Res., 102, 25173–25194, 1997.
Smith, W. H. F. and Sandwell, D. T.: Global Sea Floor Topography from
Satellite Altimetry and Ship Depth Soundings, Science, 277, 1956–1962,
https://doi.org/10.1126/science.277.5334.1956, 1997.
Stammer, D., Ray, R. D., Andersen, O. B., Arbic, B. K., Bosch, W.,
Carrère, L., Cheng, Y., Chinn, D. S., Dushaw, B. D., Egbert, G. D.,
Erofeeva, S. Y., Fok, H. S., Green, J. A. M., Griffiths, S., King, M. A.,
Lapin, V., Lemoine, F. G., Luthcke, S. B., Lyard, F., Morison, J.,
Müller, M., Padman, L., Richman, J. G., Shriver, J. F., Shum, C. K.,
Taguchi, E., and Yi, Y.: Accuracy assessment of global barotropic ocean tide
models, Rev. Geophys., 52, 243–282,
https://doi.org/10.1002/2014RG000450, 2014.
Tarantola, A.: Inverse Problem Theory and Methods for Model Parameter
Estimation, Other Titles in Applied Mathematics, SIAM,
https://doi.org/10.1137/1.9780898717921, 2005.
Timmermann, R., Le Brocq, A., Deen, T., Domack, E., Dutrieux, P., Galton-Fenzi, B., Hellmer, H., Humbert, A., Jansen, D., Jenkins, A., Lambrecht, A., Makinson, K., Niederjasper, F., Nitsche, F., Nøst, O. A., Smedsrud, L. H., and Smith, W. H. F.: A consistent data set of Antarctic ice sheet topography, cavity geometry, and global bathymetry, Earth Syst. Sci. Data, 2, 261–273, https://doi.org/10.5194/essd-2-261-2010, 2010.
Wahr, J. M.: Deformation induced by polar motion, J. Geophys.
Res.-Solid Ea., 90, 9363–9368,
https://doi.org/10.1029/JB090iB11p09363, 1985.
Wöppelmann, G. and Marcos, M.: Vertical land motion as a key to
understanding sea level change and variability, Rev. Geophys., 54,
64–92, https://doi.org/10.1002/2015RG000502, 2015.
Yongcun C. and Andersen O. B.: Improvement in global ocean tide model in
shallow water regions, OSTST, Lisbon, 18–22 October 2010, Poster SV.1-68 45, 2010.
Zawadzki, L., Ablain, M., Carrere, L., Ray, R. D., Zelensky, N. P., Lyard,
F., Guillot, A., and Picot, N.: Investigating the 59-Day Error Signal in the
Mean Sea Level Derived From TOPEX/Poseidon, Jason-1, and Jason-2 Data With
FES and GOT Ocean Tide Models, IEEE T. Geosci. Remote, 56, 3244–3255, https://doi.org/10.1109/TGRS.2018.2796630, 2018.
Short summary
Since the mid-1990s, a series of FES (finite element solution) global ocean tidal atlases has been produced with the primary objective to provide altimetry missions with a tidal de-aliasing correction. We describe the underlying hydrodynamic/data assimilation design and accuracy assessments for the FES2014 release. The FES2014 atlas shows overall improved performance and has consequently been integrated in satellite altimetry and gravimetric data processing and adopted in ITRF standards.
Since the mid-1990s, a series of FES (finite element solution) global ocean tidal atlases has...
