Hydrostatic correction for sigma coordinate ocean models

Journal of Geophysical Research: Oceans

Volumn 108, Issue 6, 2003, Pages

  Chu, Peter C ^a   Fan, Chenwu ^a  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

Finite volume scheme; High order scheme; Horizontal pressure gradient error; Hydrostatic correction; Sigma coordinate ocean model

Indexed keywords

COASTAL WATER; CONTINENTAL SHELF; ERROR CORRECTION; HYDROSTATIC PRESSURE; NEARSHORE DYNAMICS; NUMERICAL MODEL; OCEAN; PREDICTION;

EID: 0141836120     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2002jc001668     Document Type: Article

References (18)

1. Blumberg, A., and G. Mellor, A description of a three dimensional coastal ocean circulation model, in Three-Dimensional Coastal Ocean Models, Coastal Estuarine Ser., vol. 4, edited by N. S. Heaps, pp. 1- 16, AGU, Washington, D. C., 1987.
2. Chu, P. C., and C. W. Fan, Sixth-order difference scheme for sigma coordinate ocean models, J. Phys. Oceanogr., 27, 2064-2071, 1997.
3. Chu, P. C., and C. W. Fan, A three-point combined compact difference scheme, J. Comput. Phys., 140, 370-399, 1998.
4. Chu, P. C., and C. Fan, A three-point sixth-order nonuniform combined compact difference scheme, J. Comput. Phys., 148, 663-674, 1999.
5. Chu, P. C., and C. W. Fan, A staggered three-point combined compact difference scheme, Math. Comput. Model, 32, 323-340, 2000.
6. Chu, P. C., and C. W. Fan, An accuracy progressive sixth-order finite-difference scheme, J. Atmos. Oceanic Technol., 18, 1245-1257, 2001.
7. Ezer, T., H. Arango, and A. F. Shchepetkin, Developments in terrain-following ocean models: Intercomparisons of numerical aspects, Ocean Model., 4, 249-267, 2002.
8. Gary, J. M., Estimate of truncation error in transformed coordinate primitive equation atmospheric models, J. Atmos. Sci., 30, 223-233, 1973.
9. Haney, R. L., On the pressure gradient force over steep topography in sigma coordinate ocean models, J. Phys. Oceanogr., 21, 610-619, 1991.
10. Kliem, N., and J. D. Pietrzak, On the pressure gradient error in sigma coordinate ocean models: A comparison with a laboratory experiment, J. Geophys. Res., 104, 29,781 -29,799, 1999.
11. Lin, S.-J., A finite volume integration method for computing pressure gradient force in general vertical coordinates, Q. J. R. Meteorol. Soc., 123, 1749- 1762. 1997.
12. McCalpin, J. D., A comparison of second-order and fourth-order pressure gradient algorithms in a sigma-coordinate ocean model, Int. J. Numer. Methods Fluids, 18, 361-383, 1994.
13. Mellor, G. L., T. Ezer, and L.-Y. Oey, The pressure gradient conundrum of sigma coordinate ocean models, J. Atmos. Oceanic Technol,, 11, 1126-1134, 1994,
14. Mellor, G. L., L.-Y. Oey, and T. Ezer, Sigma coordinate pressure gradient errors and the seamount problem, J. Atmos. Oceanic Technol., 15, 1122-1131, 1998.
15. Shchepetkin, A. F., and J. McWilliams, A method for computing horizontal pressure-gradient force in an oceanic model with a non-aligned vertical coordinate, J. Geophys. Res., 108(C3), 3090, doi: 10.1029/2001 JC001047, 2002.
16. Song, Y. T., A general pressure gradient formulation for ocean models. part 1: Scheme design and diagnostic analysis, Mon. Weather Rev., 126, 3213-3230, 1998.
17. Song, Y. T., and D. G. Wright, A general pressure gradient formulation for the ocean models. part 2: Momentum and bottom torque consistency, Mon. Weather Rev., 126, 3213-3230, 1998.
18. Stelling, G. S., and J. A. T. M. van Kester, On the approximation of horizontal gradients in sigma coordinates for bathymetry with steep bottom slope, Int. J. Numer. Methods Fluids, 18, 915-935, 1994.