How momentum advection schemes influence current-topography interactions at eddy permitting resolution

Ocean Modelling

Volumn 29, Issue 1, 2009, Pages 1-14

  Le Sommer, Julien ^a   Penduff, Thierry ^a   Theetten, Sébastien ^b   Madec, Gurvan ^c   Barnier, Bernard ^a  

^a LEGI   (France)

^b Laboratoire d'Océanographie Physique et Satellite   (France)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

Momentum advection schemes; Topography; z level models

Indexed keywords

ACTIVE REGIONS; BOTTOM LAYERS; BOTTOM TOPOGRAPHIES; EDDY-PERMITTING RESOLUTIONS; ENERGY-CONSERVING; ENSTROPHY; GULF STREAMS; MEAN CURRENTS; MODEL SOLUTIONS; NORTH ATLANTIC; SECOND ORDERS; SENSITIVITY SIMULATIONS; VELOCITY FIELDS; VERTICAL PROFILES; Z-LEVEL MODELS;

ENERGY CONSERVATION; ENGINEERING GEOLOGY; MOMENTUM; OCEAN CURRENTS;

ADVECTION;

ADVECTION; EDDY; KINETIC ENERGY; NUMERICAL MODEL; SAMPLING BIAS; SENSITIVITY ANALYSIS; VERTICAL PROFILE; VORTICITY; WAVE-STRUCTURE INTERACTION;

ATLANTIC OCEAN; ATLANTIC OCEAN (NORTH); GULF STREAM;

EID: 64849106632     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.11.007     Document Type: Article

References (45)

1. Adcroft A., Hill C., Campin J.-M., Marshall J., and Heimbach P. Overview of the Formulation and Numerics of the MIT GCM. Proceedings of the ECMWF seminar series on Numerical Methods, Recent developments in numerical methods for atmosphere and ocean modelling (2004) 139-149
2. Adcroft A., Hill C., and Marshall J. Representation of topography by shaved cells in a height coordinate ocean model. Monthly Weather Review 125 (1997) 2293-2315
3. Arakawa A., and Lamb V. A potential enstrophy and energy conserving scheme for the shallow water equations. Monthly Weather Review 109 (1981) 18-136
4. Barnier B., Madec G., Penduff T., Molines J.-M., Treguier A.-M., Le Sommer J., Beckmann A., Biastoch A., Boning C., Dengg J., Derval C., Durand E., Gulev S., Remy E., Talandier C., Theetten S., 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 Dynamics 56 5-6 (2006) 543-567
5. Beckmann A., and Doscher R. A method for improved representation of dense water spreading over topography in geopotential-coordinate models. Journal of Physical Oceanography 27 (1997) 581-591
6. Bleck R., Rooth C., Hu D., and Smith L.T. Ventilation patterns and mode water formation in a wind- and thermodynamically driven isopycnic coordinate model of the North Atlantic. Journal of Physical Oceanography 22 (1992) 1486-1505
7. Bryan K. A numerical method for the study of the circulation of the world ocean. Journal of Computational Physics 4 (1969) 347-376
8. Bryan K. A scheme for numerical integration of the equations of motions on an irregular grid free of nonlinear instability. Monthly Weather Review 94 (1966) 39-40
9. Burridge, D.M., Haseler, J. 1977. A model for medium range weather forecasting - Adiabatic formulation. Tech. Rep., 4, European Center for Medium Range Weather Forecasts, Bracknell, Berks., UK, 46 pp.
10. Candela J., Tanahara S., Crepon M., Barnier B., and Sheinbaum J. Yucatan Channel flow: observations versus Clipper Atl6 and Mercator Pam models. Journal of Geophysical Research 108 C12 (2003) 3385
11. Chassignet E.P., Arango H.G., Dietrich D., Ezer T., Ghil M., Haidvogel D.B., Ma C.-C., Mehra A., Paiva A.M., and Sirkes Z. DAMEE-NAB: the base experiments. Dynamics of Atmospheres and Oceans 32 (2000) 155-183
12. Drikakis D., and Smolarkiewicz P.K. On spurious vortical structures. Journal of Computational Physics 172 (2001) 309-325
13. Dupont F., Straub D.N., and Lin C.A. Influence of a step-like coastline on the basin scale vorticity budget of mid-latitude gyre models. Tellus 55A (2003) 255-272
14. Fichefet T., and Morales Maqueda M.A. Sensitivity of a global sea ice model to the treatment of ice thermodynamics and dynamics. Journal of Geophysical Research 102 (1997) 12609-12646
15. Gent P.R., and McWilliams J.C. Isopycnal mixing in ocean circulation models. Journal of Physical Oceanography 20 1 (1990) 150-155
16. Gent P.R., Willebrand J., McDougall T.J., and McWilliams J.C. Parameterizing eddy-induced tracer transports in ocean circulation models. Journal of Physical Oceanography 25 4 (1995) 463-474
17. Gerdes R., Kberle C., and Willebrand J. The influence of numerical advection schemes on the results of ocean general circulation models. Climate Dynamics 5 4 (1991) 211-226
18. Griffies S.M., Gnanadesikan A., Pacanowski R.C., Larichev V.D., Dukowicz J.K., and Smith R.D. Isoneutral diffusion in a z-coordinate ocean model. Journal of Physical Oceanography 28 5 (1998) 805-830
19. Griffies S.M., Boning 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 (2000) 123-192
20. Hallberg R.W. Stable split time stepping schemes for large-scale ocean modelling. Journal of Computational Physics 135 (1997) 54-65
21. Ishizaki H., and Motoi T. Reevaluation of the Takano-Oonishi scheme for momentum advection on bottom relief in ocean models. Journal of Atmospheric and Oceanic Technology 16 (1999) 1994-2010
22. Jamart B.M., and Ozer J. Numerical boundary layers and spurious residual flows. Journal of Geophysical Research 91 C9 (1986) 10621-10632
23. Jourdan D., Balopoulos E., Garcia-Fernandez M.J., and Maillard C. Objective Analysis of Temperature and Salinity Historical Data Set over the Mediterranean Basin (1998), IEEE
24. Kalnay E., Kanamitsu M., Kistler R., Collins W., Deaven D., Gandin L., Iredell M., Saha S., White G., Woollen J., Zhu Y., Chelliah M., Ebisuzaki W., Higgins W., Janowiak J., Mo K.C., Ropelewski C., Leetmaa A., Reynolds R., and Jenne R. The NCEP/NCAR 40-year reanalysis project. Bulletin of the American Meteorological Society 77 (1996) 437-471
25. Large W.G., McWilliams J.C., and Doney S.C. Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization. Reviews of Geophysics 32 4 (1994) 363-404
26. LeVeque R.J. Numerical methods for conservation laws. second edition (1992), Birkhuser Verlag
27. Levitus, S., Boyer, T.P., Conkright, M.E., O'Brian, T., Antonov, J., Stephens, C., Stathopolos, L., Johnson, D., Gelfeld, R. 1998. World Ocean Database 1998. NOAA Atlas NESDID18.
28. Madec, G., Delecluse, P., Imbard, M., Levy, C. 1998. OPA 8.1 Ocean General Circulation Model reference manual. Note du Pole de modelisation, Institut Pierre-Simon Laplace, N11, 91pp.
29. Madec, G. 2006. NEMO reference manual, ocean dynamics component: NEMO-OPA. Note du Pole de modelisation, Institut Pierre-Simon Laplace, N27.
30. Merryfield, W.J., Scott, R.B. 2007. Bathymetric influence on mean currents in two high-resolution near-global ocean models. Ocean Modelling. 16 (1-2), 76-94.
31. Minion M.L., and Brown D.L. Performance of under-resolved two-dimensional incompressible flow simulation, II. Journal of Computational Physics 138 (1997) 734-765
32. Niiler P.P., Maximenko N.A., and McWilliams J.C. Dynamically balanced absolute sea level of the global ocean derived from near-surface velocity observations. Geophysical Research Letters 30 22 (2003) 2164
33. Nechaev D., and Yaremchuk M. On the approximation of the coriolis terms in C-grid models. Monthly Weather Review 132 (2004) 2283-2289
34. Pacanowski R., and Gnanadesikan A. Transient response in a z-level ocean model that resolves topography with partial cells. Monthly Weather Review 126 (1998) 3248-3270
35. Pacanowski, R.C., Griffies, S.M. 1999. The MOM 3 Manual. Geophysical Fluid Dynamics Laboratory/NOAA, Princeton, USA, pp. 680.
36. Penduff T., Barnier B., Branger K., and Verron J. Comparison of near-surface mean and eddy flows from two numerical models of the South Atlantic Ocean. Journal of Geophysical Research 106 C8 (2001) 16857-16867
37. Penduff T., Barnier B., Molines J.-M., and Madec G. On the use of current meter data to assess the realism of ocean model simulations. Ocean Modelling 7 (2005) 11-45
38. Penduff, T., Le Sommer, J., Barnier, B., Molines, J.-M., Madec, G. 2007. Influence of numerical schemes on current topography interactions in 1/4° global ocean simulations. Ocean Science, in revision.
39. Sadourny R. The dynamics of finite-difference models of the shallow water equations. Journal of the Atmospheric Sciences 32 (1975) 680-689
40. Salmon R. Poisson-Bracket approach to the construction of energy-and-potential-enstrophy-conserving algorithms for the shallow water equations. Journal of the Atmospheric Sciences 61 (2004) 2016-2036
41. Smith R.D., Maltrud M.E., Bryan F.O., and Hecht M.W. Numerical simulation of the North Atlantic Ocean at 1/10°. Journal of Physical Oceanography 30 (2000) 1532-1561
42. Steele M., Morley R., and Ermold W. PHC: a global ocean hydrography with a high quality Arctic Ocean. Journal of Climate 14 (2001) 2079-2087
43. Webb D.J., de Cuevas B.A., and Richmond C.S. Improved advection schemes for ocean models. Journal of Atmospheric and Oceanic Technology 15 (1998) 1171-1187
44. Willebrand J., Barnier B., Boning C., Dieterich C., Killworth P.D., LeProvost C., Jia Y., Molines J.-M., and New A.L. Circulation characteristics in three eddy-permitting models of the North Atlantic. Progress in Oceanography 48 2-3 (2001) 123-161
45. Xie P., and Arkin P.A. Global precipitation: a 17-Year monthly analysis based on gauge observations, satellite estimates, and numerical model outputs. Bulletin of the American Meteorological Society 78 11 (1997) 2539-2558