Low-order pressure gradient schemes in sigma coordinate models: The seamount test revisited

Ocean Modelling

Volumn 30, Issue 2-3, 2009, Pages 169-177

  Marsaleix, Patrick ^a   Auclair, Francis ^a   Estournel, Claude ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Pressure gradient; Seamount test; Sigma coordinate

Indexed keywords

DENSITY FIELDS; DISCRETIZATIONS; GLOBAL LEVELS; JACOBIANS; LONG-TERM EFFECTS; PRESSURE GRADIENT FORCE; SEAMOUNT TEST; SIGMA COORDINATE; SIGMA COORDINATE MODELS; TRAPEZOIDAL RULES; VORTICITY FIELD;

ERRORS; FLOW OF WATER; HYDRAULICS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; TESTING; VORTICITY;

PRESSURE GRADIENT;

KINETIC ENERGY; OCEANIC GENERAL CIRCULATION MODEL; PRESSURE GRADIENT; SEAMOUNT; VORTICITY;

EID: 68749088242     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2009.06.011     Document Type: Article

References (16)

1. Auclair F., Marsaleix P., and Estournel C. Sigma coordinate pressure gradient errors: evaluation and reduction by an inverse method. Journal of Atmospheric and Oceanic Technology 17 (2000) 1348-1367
2. Beckmann A., and Haidvogel D.B. Numerical simulation of flow around a tall isolated seamount. Part I: problem formulation and model accuracy. Journal of Physical Oceanography 23 (1993) 1736-1753
3. Blumberg A.F., and Mellor G.L. A description of a three-dimensional coastal circulation model. In: Heaps N. (Ed). Three-Dimensional Coastal Ocean Models. Coastal Estuarine Science vol. 4 (1987), American Geophysical Union 1-16
4. Chu P.C., and Fan C. Sixth-order difference scheme for sigma coordinate ocean models. Journal of Physical Oceanography 27 (1997) 2064-2071
5. Ciappa A.C. A method for reducing pressure gradient errors improving the sigma coordinate stretching function: an idealized flow patterned after Libyan near-shore region with the POM. Ocean Modelling 23 (2008) 59-72
6. Ferziger J.H., and Peric M. Computational Methods for Fluid Dynamics. third ed. (2002), Springer p. 423
7. Gaspar P., Gregoris Y., and Lefevre J.M. A simple eddy kinetic energy model for simulations of the oceanic vertical mixing: tests at station Papa and long-term upper ocean study site. Journal of Geophysical Research 95 (1990) 16,179-16,193
8. Haney R.L. On the pressure gradient force over steep topography in sigma coordinate ocean models. Journal of Physical Oceanography 21 (1991) 610-619
9. James I.D. Advection schemes for shelf sea models. Journal of Marine Systems 8 (1996) 237-254
10. Marsaleix P., Auclair F., Floor J.W., Herrmann M.J., Estournel C., Pairaud I., and Ulses C. Energy conservation issues in sigma-coordinate free-surface ocean models. Ocean Modelling 20 (2008) 61-89
11. Mellor G.L., Ezer T., and Oey L.-Y. The pressure gradient conundrum of sigma coordinate ocean models. Journal of atmospheric and oceanic technology 11 (1994) 1126-1134
12. Mellor G.L., Oey L.-Y., and Ezer T. Sigma coordinate pressure gradient errors and the seamount problem. Journal of atmospheric and oceanic technology 15 (1998) 1122-1131
13. Mertz G., and Wright D.G. Interpretations of the Jebar term. Journal of Physical Oceanography 22 (1992) 301-305
14. Shchepetkin A.F., and McWilliams J.C. A method for computing horizontal pressure-gradient force in an oceanic model with non-aligned vertical coordinate. Journal of Geophysical Research 108 3090 (2003) 35.1-35.34
15. Song Y.T. A general pressure gradient formulation for ocean models. Part I: scheme design and diagnostic analysis. Monthly Weather Review 126 (1998) 3213-3230
16. Song Y.T., and Wright D.G. A general pressure gradient formulation for ocean models. Part II: energy, momentum, and bottom torque consistency. Monthly Weather Review 126 (1998) 3231-3247