A general pressure gradient formulation for ocean models. Part I: Scheme design and diagnostic analysis

Monthly Weather Review

Volumn 126, Issue 12, 1998, Pages 3213-3230

  Song, Y Tony ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERE-OCEAN COUPLING; PRESSURE GRADIENT;

EID: 0033030677     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1998)126<3213:AGPGFF>2.0.CO;2     Document Type: Article

References (34)

1. Arakawa, A., and V. R. Lamb, 1977: Computational design of the basic dynamic processes of the UCLA general circulation model. Methods Comput. Phys., 17, 173-265.
2. _, and M. J. Suarez, 1983: Vertical differencing of the primitive equations in sigma coordinates. Mon. Wea. Rev., 111, 34-45.
3. _, and C. S. Konor, 1996: Vertical differencing of the primitive equations on the Charney-Phillips grid in hybrid σ - p vertical coordinates. Mon. Wea. Rev., 124, 511-528.
4. Ratteen, M. L., 1988: On the use of sigma coordinates in large-scale ocean circulation models. Ocean Modelling (unpublished manuscript). 77, 3-5.
5. Beckmann, A., and D. B. Haidvogel, 1993: Numerical simulation of flow around a tall isolated seamount. Part I: Problem formulation and model accuracy. J. Phys. Oceanogr., 23, 1736-1753.
6. Bleck, R., 1978: Finite difference equations in generalized vertical coordinates. Part I: Total energy conservation. Contrib. Atmos. Phys., 51, 360-372.
7. Blumberg, A. F., and G. L. Mellor, 1987: A description of a three-dimensional coastal ocean circulation model. Three-Dimensional Coastal Ocean Models, Vol. 4, N. Heaps, Ed., American Geophysical Union, 208 pp.
8. Chapman, D. C., and G. Gawarkiewicz, 1993: On the establishment of the seasonal pycnocline in the Middle Atlantic Bight. J. Phys. Oceanogr., 23, 2487-2492.
9. Chen, C., and R. C. Beardsley, 1995: A numerical study of stratified tidal rectification over finite-amplitude banks. Part I: Symmetric banks. J. Phys. Oceanogr., 25, 2090-2110.
10. Fortunato, A. B., and A. M. Baptista, 1996: Evaluation of horizontal gradients in sigma-coordinate shallow water models. Atmos.-Ocean, 34, 489-514.
11. Gary, J. M., 1973: Estimate of truncation error in transformed coordinate primitive equation atmospheric models. J. Atmos. Sci., 30, 223-233.
12. Gawarkiewicz, G., and D. C. Chapman, 1992: The role of stratification in the formation and maintenance of shelf-break fronts. J. Phys. Oceanogr., 22, 753-772.
13. Gerdes, R., 1993: A primitive equation ocean circulation model using a general vertical coordinate transformation. Part I: Description and testing of the model. J. Geophys. Res., 98 (C8), 14683-14701.
14. Glenn, S., M. Crowley, D. Haidvogel, and Y. Song, 1996: Underwater observatory captures coastal upwelling events off New Jersey. Eos, Trans. Amer. Geophvs. Union, 77, 233-236.
15. Haney, R. L., 1991: On the pressure gradient force over steep topography in sigma coordinate ocean models. J. Phys. Oceanogr., 21, 610-619.
16. Janjić, Z. I., 1977: Pressure gradient force and advection scheme used for forecasting with steep and small scale topography. Contrib. Atmos. Phys., 50, 186-199.
17. Leslie, L. M., and R. J. Purser, 1992: A comparative study of the performance of various vertical discretization schemes. Meteor. Atmos. Phys., 50, 61-73.
18. Mahrer, Y., 1984: An improved numerical approximation of the horizontal gradients in a terrain-following coordinate system. Mon. Wea. Rev., 112, 918-922.
19. McCalpin, J. D., 1994: A comparison of second-order and fourth-order pressure gradient algorithms in a σ-coordinate ocean model. Int. J. Num. Meth. Fluids, 18, 361-383.
20. Mellor, G. L., and T. Ezer, 1991: A Gulf Stream model and an altimetry assimilation scheme. J. Geophys. Res., 96, 8779-8797.
21. _, _, and L.-Y. Oey, 1994: The pressure gradient conundrum of sigma coordinate ocean models. J. Atmos. Oceanic Technol., 11, 1126-1134.
22. Mesinger, F., 1982: On the convergence and error problems of the calculation of the pressure gradient force in sigma coordinate models. Geophys. Astrophys. Fluid Dyn., 19, 105-117.
23. Oey, L.-Y., G. L. Mellor, and R. I. Hires, 1985: A three-dimensional simulation of the Hudson-Raritan estuary. Part I: Description of the model and model simulations. J. Phys. Oceanogr., 15, 1676-1692.
24. Phillips, N. A., 1957: A coordinate system having some spatial advantages for numerical forecasting. J. Meteor., 14, 184-186.
25. Rienecker, M. M., C. N. K. Mooers, and A. R. Robinson, 1987: Dynamical interpolation and forecasts of the evolution of mesoscale features off northern California. J. Phys. Oceanogr., 17, 1189-1213.
26. Rousseau, D., and H. L. Pham, 1971: Premiers resultant D'un modele de prevision numerique a courte echeance surl'Europe. La Meteorologie, 20, 1-12.
27. Smagorinsky, J., R. F. Strickler, W. E. Sangster, S. Manabe, J. L. Halloway, Jr., and G. D. Hembree, 1967: Prediction experiments with a general circulation model. Proc. Int. Symp. on Dynamics of Large Scale Atmospheric Processes, Moscow, USSR, 70-134.
28. Song, Y., and D. Haidvogel, 1993: Numerical simulations of the CCS under the joint effects of coastal geometry and surface forcing. Estuarine and Coastal Modeling, M. L. Spaulding et al., Eds., Applied Science Associates, 216-234.
29. _, and _, 1994: A semi-implicit ocean circulation model using a generalized topography-following coordinate system. J. Comput. Phys., 115, 228-244.
30. _, and D. G. Wright, 1998: A general pressure gradient formulation for ocean models. Part II: Energy, momentum, and bottom torque consistency. Mon. Wea. Rev., 126, 3231-3247.
31. Spall, M. A., and A. R. Robinson, 1990: Regional primitive equation studies of the Gulf Stream meander and ring formation region. J. Phys. Oceanogr., 20, 985-1016.
32. Sundqvist, H., 1975: On truncation errors in sigma-system models. Atmosphere, 13, 81-95.
33. Zebiak, S. E., and M. A. Cane, 1987: A model El Niño-Southern Oscillation. Mon. Wea. Rev., 115, 2262-2278.
34. Zhu, Z., J. Thuburn, B. J. Hoskins, and P. H. Haynes, 1992: A vertical finite-difference scheme based on a hybrid σ - θ - p coordinate. Mon. Wea. Rev., 120, 851-862.