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<article language="en">
	<journal>
		<journal_title>Ocean Science</journal_title>
		<journal_url>www.ocean-sci.net</journal_url>
		<issn>1812-0784</issn>
		<eissn>1812-0792</eissn>
		<volume_number>3</volume_number>
		<issue_number>4</issue_number>
		<publication_year>2007</publication_year>
	</journal>
	<doi>10.5194/os-3-509-2007</doi>
	<article_url>http://www.ocean-sci.net/3/509/2007/</article_url>
	<abstract_html>http://www.ocean-sci.net/3/509/2007/os-3-509-2007.html</abstract_html>
	<fulltext_pdf>http://www.ocean-sci.net/3/509/2007/os-3-509-2007.pdf</fulltext_pdf>
	<start_page>509</start_page>
	<end_page>524</end_page>
	<publication_date>2007-12-20</publication_date>
	<article_title content_type="html">Influence of numerical schemes on current-topography interactions  in 1/4&amp;deg; global ocean simulations</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>T. Penduff</name>
			<email>thierry.penduff@hmg.inpg.fr</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>J. Le Sommer</name>
		</author>
		<author numeration="3" affiliations="1">
			<name>B. Barnier</name>
		</author>
		<author numeration="4" affiliations="2">
			<name>A.-M. Treguier</name>
		</author>
		<author numeration="5" affiliations="1">
			<name>J.-M. Molines</name>
		</author>
		<author numeration="6" affiliations="3">
			<name>G. Madec</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Laboratoire des Ecoulements Géophysiques et Industriels, CNRS, UJF, INPG, Grenoble, France</affiliation>
		<affiliation numeration="2" content_type="html">Laboratoire de Physique des Océans, CNRS, UBO, IFREMER, Brest, France</affiliation>
		<affiliation numeration="3" content_type="html">Laboratoire d&apos;Océanographie et de Climat par Expérimentation et Approche Numérique,  CNRS, UPMC, IRD, MNHN, Paris, France</affiliation>
	</affiliations>
	<abstract content_type="html">The combined use of partial steps and of an energy-enstrophy conserving momentum advection scheme
was shown by Barnier et al. (2006)  to yield substantial improvements in the surface solution of the DRAKKAR
¼&amp;deg; global sea-ice/ocean model. The present study extends this investigation below the surface
with a special focus on the Atlantic
and reveals many improvements there as well: e.g. more realistic path, structure and transports of major currents
(Gulf Stream, North Atlantic Current, Confluence region, Zapiola anticyclone), behavior of shedded rings,
narrower subsurface boundary currents, stronger mean and eddy flows (MKE and EKE) at depth, beneficial
enhancement of cyclonic (anticyclonic) flows around topographic depressions (mountains).
Interestingly, adding a no-slip boundary condition to this improved model setup cancels most of these
improvements, bringing back the biases diagnosed without the improved momentum advection
scheme and partial steps (these biases are typical of other models at comparable or higher resolutions).
This shows that current-topography interactions and full-depth eddy-admitting model solutions
can be seriously deteriorated by near-bottom sidewall friction, either explicit or inherent to inadequate
numerical schemes.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Adcroft, A. and Marshall, D.: How slippery are piecewise-constant coastlines in numerical ocean models?, Tellus Series A, 60, 95&amp;ndash;108, doi:10.1034/j.1600-0870.1998.00007, 1998. </reference>
		<reference numeration="2" content_type="text"> Arakawa, A. and Lamb, V.: A potential enstrophy and energy conserving scheme for the shallow water equations, Mon. Wea. Rev., 109, 18&amp;ndash;36, 1981. </reference>
		<reference numeration="3" content_type="text"> Arhan, M., Colin de Verdire, A., and Mercier, H.: Direct observations of the mean circulation at 48$ ^\circ$N in the Atlantic ocean, J. Phys. Oceanogr.\/, \bf 19, 161&amp;ndash;181, 1989. </reference>
		<reference numeration="4" content_type="text"> Arhan, M., Treguier, A.-M., Bourlès, B., and Michel, S.: Diagnosing the annual cycle of the equatorial undercurrent in the Atlantic ocean from a general circulation model, J. Phys. Oceanogr.\/, 36, 1502&amp;ndash;1522, 2006. </reference>
		<reference numeration="5" content_type="text"> Barnier, B., Madec, G., Penduff, T., Molines, J.-M., Treguier, A.-M. , Le~Sommer, J., Beckmann, A., Biastoch, A., Böning, C., Dengg, J., Derval, C., Durand, E., Gulev, S., Remy, E., Talandier, C., Theetten, C., Maltrud, M., McClean, J., and de~Cuevas, B.: Impact of partial steps and momentum advection schemes in a global circulation model at eddy permitting resolution, Ocean Dynam., 56(5-6), 543&amp;ndash;567, doi:10.1007/s10236-006-0082-1, 2006. </reference>
		<reference numeration="6" content_type="text"> Barnier, B. and Le Provost, C.: Influence of bottom topography roughness on the jet and inertial recirculation of a mid-latitude gyre,  Dyn. Atm. Oceans\/, 18, 29&amp;ndash;65, 1993. </reference>
		<reference numeration="7" content_type="text"> Beismann, J.-O., Käse, R H., and Lutjeharms, J R E.: On the influence of submarine ridges on translation and stability of Agulhas rings, J. Geophys. Res., 104, 7897&amp;ndash;7906, doi:10.1029/1998JC900127, 1999. </reference>
		<reference numeration="8" content_type="text"> Berliand, M. and Strokina, T.: Global distribution of the total amount of clouds,. hydrometeorological, Technical report, Hydrometeorology Publishing House, Leningrad, (in Russian), 1980. </reference>
		<reference numeration="9" content_type="text"> Blanke, B. and Delecluse, P.: Variability of the tropical Atlantic ocean simulated by a general circulation model with two different mixed-layer physics, J. Phys. Oceanogr., 23, 1363&amp;ndash;1388, 1993. </reference>
		<reference numeration="10" content_type="text"> Chanut, J., Barnier, B., Large, W G. , Debreu, L., Penduff, T., Molines, J.-M., and Mathiot, P.: Mesoscale eddies in the Labrador Sea and their contribution to convection and re-stratification, J. Phys. Oceanogr., in press, 2007. </reference>
		<reference numeration="11" content_type="text"> Chassignet, E., Arango, H., Dietrich, D., Ezer, T., Ghil, M., Haidvogel, D., Ma, C., Mehra, A., Paiva, A., and Sirkes, Z.: DAMEE-NAB: The base experiments, Dyn. Atmos. Oceans, 32, 155&amp;ndash;183, 2000. </reference>
		<reference numeration="12" content_type="text"> Colin de Verdière, A., Mercier, H., and Arhan, M.: Mesoscale variability from the western to the eastern Atlantic along 48$ ^\circ$N, J. Phys. Oceanogr.\/, 19, 1149&amp;ndash;1170, 1989. </reference>
		<reference numeration="13" content_type="text"> Coward, A. and de~Cuevas, B.: The OCCAM 66-level model: model description, physics, initial conditions, and external forcing, Internal document~99, Southampton Oceanography Center, Southampton, UK, 2005. </reference>
		<reference numeration="14" content_type="text"> De~Miranda, A., Barnier, B., and Dewar, W.: On the dynamics of the Zapiola anticyclone, J. Geophys. Res.\/, 104, 21137&amp;ndash;21149, 1999. </reference>
		<reference numeration="15" content_type="text"> Dengg, J., Beckmann, A., and Gerdes, R.: The Gulf Stream separation problem, \it The Warmwatersphere of the North Atlantic Ocean\/, W Krauss, ed., Gebrüder Borntraeger, Berlin, 253&amp;ndash;290, 1996. </reference>
		<reference numeration="16" content_type="text"> Dengler, M., Schott, F., Eden, C., Brandt, P., Fisher, J., and Zantopp, R.: Break-up of the Atlantic Deep Western Boundary Current into eddies at 8$ ^\circ$S, Nature\/, 432, 1018&amp;ndash;1020, doi:10.1038/nature03134, 2004. </reference>
		<reference numeration="17" content_type="text"> Dewar, W.: Topographic and barotropic transport control by bottom friction, J. Mar. Res. , \bf 56, 295&amp;ndash;328, 1998. </reference>
		<reference numeration="18" content_type="text"> Ducet, N., Le~Traon, P.-Y., and Reverdin, G.: Global high-resolution mapping of ocean circulation from TOPEX/Poseidon and ERS-1 and -2, J. Geophys. Res.\/, 105(C8), 19477&amp;ndash;19498, 2000. </reference>
		<reference numeration="19" content_type="text"> DRAKKAR Group: Eddy-permitting ocean circulation hindcasts of past decades, Clivar Exchanges\/, No 42 (vol 12 No 3), 8&amp;ndash;10 (Unpublished manuscript), 2007. </reference>
		<reference numeration="20" content_type="text"> DYNAMO Group: Dynamo: Dynamics of North Atlantic models. Simulation and assimilation with high resolution models, Technical report, Ber. Inst. f. Meeresk. Kiel, 294, 1997. </reference>
		<reference numeration="21" content_type="text"> Eden, C. and Böning, C.: Sources of eddy kinetic energy in the Labrador Sea, J. Phys. Oceanogr.\/, 32, 3346&amp;ndash;3363, 2002. </reference>
		<reference numeration="22" content_type="text"> Ezer, T. and Mellor, G.L.: Simulations of the Atlantic Ocean with a free surface sigma-coordinate ocean model, J. Geophys. Res..\/, 102, C7, 15,647&amp;ndash;15,657, 1997. </reference>
		<reference numeration="23" content_type="text"> Frolov, S A., Sutyrin, G G. , and Ginis, I.: Asymmetry of an equilibrated Gulf Stream&amp;ndash;type jet over topographic slope, J. Phys. Oceanogr.\/,  34, 1087&amp;ndash;1102, 2004. </reference>
		<reference numeration="24" content_type="text"> Griffies, S M., Böning, C., Bryan, F.O., Chassignet, E.P., Gerdes, R., Hasumi, H., Hirst, A., Treguier, A.-M., and Webb, D.: Developments in ocean climate modelling, Ocean Modelling\/, 2, 123&amp;ndash;192, 2000. </reference>
		<reference numeration="25" content_type="text"> Hall, N., Barnier, B., Penduff, T., and Molines, J.-M.: Interannual variation of Gulf Stream heat transport in a high resolution model forced by reanalysis data, Clim. Dyn.\/, 23, 341&amp;ndash;351, 2004. </reference>
		<reference numeration="26" content_type="text"> Hogg, A., Dewar, W., Killworth, P., and Blundell, J.: Decadal variability of the mid-latitude climate system driven by the ocean circulation, J. Climate\/, 19, 1149&amp;ndash;1166, 2006. </reference>
		<reference numeration="27" content_type="text"> Holloway, G.: Representing topographic stress for large-scale ocean models, J. Phys. Oceanogr.\/, 22, 1033&amp;ndash;1046, 1992. </reference>
		<reference numeration="28" content_type="text"> Jourdan, D., Balopoulos, E., Garcia-Fernandez, M., and Maillard, C.: Objective analysis of temperature and salinity historical data set over the mediterranean basin, Technical report, IEEE, 1998. </reference>
		<reference numeration="29" content_type="text"> Joyce, T., Dunworth-Baker, J., Pickart, R., Torres, D., and Waterman, S.: On the Deep Western Boundary Current south of Cape Cod, Deep-Sea Res. II\/, 52, 615&amp;ndash;625, 2005. </reference>
		<reference numeration="30" content_type="text"> Kamenkovich, V M., Leonov, Y P., Nechaev, D A., Byrne, D A., and Gordon, A L. : On the influence of bottom topography on the Agulhas eddy, J. Phys. Oceanogr., 26, 892&amp;ndash;912, 1996. </reference>
		<reference numeration="31" content_type="text"> Lazier, J. R N.: Observations in the northwest corner of the North Atlantic Current, J. Phys. Oceanogr.\/, 24, 1449&amp;ndash;1463, 1994. </reference>
		<reference numeration="32" content_type="text"> Le~Sommer, J., Penduff, T., Theetten, S., Madec, G., and Barnier, B.: How momentum advection schemes influence current-topography interactions at eddy-permitting resolution, Ocean Modelling\/, in press, 2007. </reference>
		<reference numeration="33" content_type="text"> Levitus, S., Boyer, T., Conkright, M., O&apos;Brian, T., Antonov, J., Stephens, C., Stathopolos, L., Johnson, D., and Gelfeld, R.: World Ocean database 1998, Technical Report NESDID18, NOAA Atlas, 1998. </reference>
		<reference numeration="34" content_type="text"> Lévy, M., Estubier, A., and Madec, G.: Choice of an advection scheme for biogeochemical models, Geophys. Res. Lett.\/, 28, 3725&amp;ndash;3728, 2001. </reference>
		<reference numeration="35" content_type="text"> Levy, M., Gavart, M., Memery, L., Caniaux, G., and Paci, A.: A 4D-mesoscale map of the spring bloom in the Northeast Atlantic (POMME experiment): results of a prognostic model, J. Geophys. Res., 110, C07S21, doi:10.1029/2004JC002588, 2005. %</reference>
		<reference numeration="36" content_type="text"> %Madec, G., 2008: NEMO reference manual, ocean dynamics component : NEMO-OPA. Preliminary version. %Technical Report~27, Notes du p\^ole de modélisation, Institut Pierre-Simon Laplace (IPSL), %France. ISSN No 1288-1619. </reference>
		<reference numeration="37" content_type="text"> Masumoto, Y., Sasaki, H., Kagimoto, T., Komori, N., Ishida, A., Sasai, Y., Miyama, T., Motoi, T., Mitsudera, H., Takahashi, K., Sakuma, H., and Yamagata, T.: A fifty-year eddy-resolving simulation of the World Ocean: Preliminary outcomes of OFES (OGCM for the Earth Simulator). \it J. Earth Simulator\/, \bf 1, 35&amp;ndash;56, 2004. </reference>
		<reference numeration="38" content_type="text"> Merryfield, W. and Scott, R.: Bathymetric influence on mean currents in two high-resolution near-global ocean models, Ocean Modelling\/, 16, 1-2, 76-94, doi: 10.1016/j.ocemod.2006.07.005, 2007. </reference>
		<reference numeration="39" content_type="text"> Niiler, P., Maximenko, N., and McWilliams, J.: Dynamically balanced absolute sea dynamically balanced absolute sea level of the Global Ocean derived from near-surface velocity observations, Geophys. Res. Lett.\/,  30 (22), 2164, doi:10.1029/2003GL018628, 2003. </reference>
		<reference numeration="40" content_type="text"> Olson, D., Podesta, G., Evans, R., and Brown, O.: Temporal variations in the separation of Brazil and Malvinas currents, Deep-Sea Res.\/, 35, 1971&amp;ndash;1990, 1988. </reference>
		<reference numeration="41" content_type="text"> Pacanowski, R. and Gnanadesikan, A.: Transient response in a z-level ocean model that resolves topography with partial cells, Mon. Wea. Rev.\/,  126, 3248&amp;ndash;3270, 1998. </reference>
		<reference numeration="42" content_type="text"> Paiva, A., Hargrove, J., Chassignet, E., and Bleck, R.: Turbulent behavior of a fine mesh (1/12&amp;deg;) numerical simulation of the North Atlantic,  J. Mar. Res.\/, 21, 307&amp;ndash;320, 1999. </reference>
		<reference numeration="43" content_type="text"> Panetta, R.: Zonal jets in wide baroclinically unstable regions: persistance and scale selection, J. Atmos. Sci.\/, 50, 2073&amp;ndash;2106, 1993. </reference>
		<reference numeration="44" content_type="text"> Penduff, T., Barnier, B., Béranger, K., and Verron, J.: Comparison of near-surface mean and eddy flows from two numerical models of the South Atlantic Ocean, J. Geophys. Res.\/, 106, 16, 857&amp;ndash;16, 867, 2001. </reference>
		<reference numeration="45" content_type="text"> Penduff, T., Barnier, B., Madec, G., and Molines, J.-M.: On the use of current meter data to assess the realism of ocean model simulations, Ocean Modelling\/, 11, 399&amp;ndash;416, 2005. </reference>
		<reference numeration="46" content_type="text"> Penduff, T., Barnier, B., Verron, J., and Kerbiriou, M.-A.: How topographic smoothing contributes to differentiating the eddy flows simulated by sigma- and z-level models, J. Phys. Oceanogr.\/, 32, 122&amp;ndash;137, 2002. </reference>
		<reference numeration="47" content_type="text"> Rhines, P B.: The dynamics of unsteady currents, in The Sea, Wiley Interscience, NY, vol 6, 189&amp;ndash;318, 1977. </reference>
		<reference numeration="48" content_type="text"> Rivière, P., Treguier, A.-M., and Klein, P.: Effects of bottom friction on nonlinear equilibration of an oceanic baroclinic jet, J. Phys. Oceanogr.\/, 34, 416&amp;ndash;432, 2004. </reference>
		<reference numeration="49" content_type="text"> Roberts, M., Marsh, R., New, A., and Wood, R.: An intercomparison of a Bryan-Cox type ocean model and an isopycnic model. Part I: The subpolar gyre and high-latitude processes, J. Phys. Oceanogr.\/, 26, 1495&amp;ndash;1527, 1996. </reference>
		<reference numeration="50" content_type="text"> Sadourny, R.: The dynamics of finite-difference models of the shallow-water equations, J. Atmos. Sc.\/, 32, 1975. </reference>
		<reference numeration="51" content_type="text"> Smith, R., Maltrud, M., Bryan, F., and Hecht, M.: Numerical simulation of the North Atlantic Ocean at 1/10&amp;deg;, J. Phys. Oceanogr.\/, 30, 1532&amp;ndash;1561, 2000. </reference>
		<reference numeration="52" content_type="text"> Steele, M., Morley, R., and Ermold, W.: PHC: A global ocean hydrography with a high quality Arctic Ocean, J. Climate\/, 14, 2079&amp;ndash;2087, 2001. </reference>
		<reference numeration="53" content_type="text"> Timmermann, A., Goosse, H., Madec, G., Fichefet, T., Ethe, C., and Dulière, V.: On the representation of high latitude processes in the ORCA-LIM global coupled sea-ice ocean model, Ocean Modelling\/, 8, 175&amp;ndash;201, 2005. </reference>
		<reference numeration="54" content_type="text"> Treguier, A M.: Kinetic energy analysis of an eddy resolving, primitive equation model of the North Atlantic, J. Geophys. Res.\/, 97, No C1, 687&amp;ndash;701, 1992. </reference>
		<reference numeration="55" content_type="text"> Treguier, A M. and Hua, B L.: Influence of bottom topography on stratified quasi-geostrophic turbulence, Geophys. Astrophys. Fluid Dynamics\/, 43, 265&amp;ndash;305, 1988. </reference>
		<reference numeration="56" content_type="text"> Tréguier, A.-M., Reynaud, T., Pichevin, T., Barnier, B., Molines, J.-M., de~Miranda, A., Messager, C., Beismann, J.-O., Madec, G., Grima, N., Imbard, M., and Le~Provost, C.: The CLIPPER project: High resolution modelling of the Atlantic, Int. WOCE Newslett\/, 36, 3&amp;ndash;5, 1999. </reference>
		<reference numeration="57" content_type="text"> Treguier, A.-M., Theetten, S., Chassignet, E., Penduff, T., Smith, R., and Talley, L.: The North Atlantic subpolar gyre in four high resolution models, J. Phys. Oceanogr.\/, 35, 757&amp;ndash;774, 2005. </reference>
		<reference numeration="58" content_type="text"> Trenberth, K., Olson, J., and Large, W G.: A global ocean wind stress climatology based on ECMWF analyses, Technical Report NCAR/TN-338+STR, NCAR, 1989. </reference>
		<reference numeration="59" content_type="text"> Valdivieso da Costa, M., Mercier, H., and Tréguier, A.-M.: Effects of the mixed layer time variability on kinematic subduction rate diagnostics,  J. Phys. Oceanogr.\/, 35, 427&amp;ndash;443, 2005. </reference>
		<reference numeration="60" content_type="text"> Willebrand, J., Barnier, B., Böning, C., Dieterich, C., Killworth, P., \mboxLe Provost, C., Jia, Y., Molines, J.-M., and New, A.: Circulation characteristics in three eddy-permitting models of the North Atlantic, Progress in Oceanogr.\/, 48, 123&amp;ndash;162, 2001. </reference>
		<reference numeration="61" content_type="text"> Xie, P. and Arkin, P.: Global precipitation: A 17-year monthly analysis based on gauge observations, satellite estimates, and numerical model outputs, Bulletin of the American Meteorological Society\/, 78, 2539&amp;ndash;2558, 1997. </reference>
	</references>
</article>

