A physically consistent formulation of lateral friction in shallow-water equation ocean models

Monthly Weather Review

Volumn 124, Issue 6, 1996, Pages 1285-1300

  Shchepetkin, Alexander F ^a,b   O'Brien, James J ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009015698     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1996)124<1285:APCFOL>2.0.CO;2     Document Type: Article

References (32)

1. Arakawa, A., and V. R. Lamb, 1981: A potential enstrophy and energy conserving scheme for the shallow water equations. Mon. Wea. Rev., 109, 18-36.
2. _, and Y.-J. G. Hsu, 1990: Energy conserving and potential-enstrophy dissipating schemes for the shallow water equations. Mon. Wea. Rev., 118, 1960-1969.
3. Blanke, B., and P. Delecluse, 1993: Variability of the tropical Atlantic Ocean simulated by a general circulation model with two different mixed-layer physics. J. Phys. Oceanogr., 23, 1363-1388.
4. Bleck, R., and D. Boudra, 1981: Initial testing of the numerical ocean circulation model using a hybrid (quasi-isopycnic) vertical coordinate. J. Phys. Oceanogr., 11, 755-770.
5. Cushman-Roisin, B., 1986: Frontal geostrophic dynamics. J. Phys. Oceanogr., 16, 132-143.
6. Farge, M., and R. Sadourny, 1989: Wave-vortex dynamics in rotating shallow water. J. Fluid Mech., 206, 433-462.
7. Flór, J.-B., 1994: Coherent vortex structures in stratified fluids. Ph.D. dissertation Technische Universiteit Eindhoven.
8. Gent, P., 1993: The energetically consistent shallow water equations. J. Atmos. Sci., 50, 1323-1325.
9. _, and J. C. McWilliams, 1990: Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20, 150-155.
10. Grammeltvedt, A., 1969: A survey of finite-difference schemes for the primitive equation for a barotropic fluid. Mon. Wea. Rev., 97, 384-404.
11. Gresno, P. M., and R. L. Sani, 1987: On pressure boundary conditions for the in compressible Navier - Stokes equations. Int. J. Num. Meth. Fluids, 7, 1111-1145.
12. Haidvogel, D. B., and A. Beckmann, 1995: Wind-driven residual current over a coastal canyon. Topographics Effects in the Ocean. Proc., Aha Huliko'a Hawaiian Winter Workshop, P. Müller, and D. Henderson, Eds., Honolulu, HI, 219-224.
13. Haynes, P. H., and M. McIntyre, 1987: On the evolution of vorticity and potential vorticity in the presence of diabatic heating and frictional or other forces. J. Atmos. Sci., 44, 828-841.
14. _, and _, 1990: On the conservation and impermeability theorems for potential vorticity. J. Atmos. Sci., 47, 2021-2031.
15. Hsu, Y.-J. G., and A. Arakawa, 1990: Numerical modeling of the atmosphere with an isentropic vertical coordinate. Mon. Wea. Rev., 118, 1933-1959.
16. Hurlburt, H. E., and J. D. Thompson, 1980: A numerical study of loop current intrusions and eddy shedding. J. Phys. Oceanogr., 10, 1611-1651.
17. Hyman, J. M., 1979: A method of lines approach to the numerical solution of conservation laws. Advances in Computational Methods for Partial Differential Equations, Vol. III, R. Vichnevetsky and R. S. Stepleman, Eds., IMACS, 313-321.
18. Inoue, M., and S. E. Welsh, 1993: Modeling seasonal variability in the wind-driven upper-layer circulation in the Indo-Pacific region. J. Phys. Oceanogr., 23, 1411-1436.
19. Killworth, P. D., D. Stainforth, D. J. Webb, and S. M. Paterson, 1991: The development of a free-surface Bryan-Cox-Semtner ocean model. J. Phys. Oceanogr., 21, 1333-1348.
20. Kloosterziel, R. C., and G. F. Carnevale, 1993: Propagation of barotropic dipoles over topography in a rotating tank. Dyn. Atmos. Oceans, 19, 65-100.
21. Kwizak, M., and A. J. Robert, 1971: A semi-implicit scheme for gridpoint atmospheric models of the primitive equations. Mon. Wea. Rev., 99, 32-36.
22. Landau, L. D., E. M. Lifshitz, 1977: Theoretical Physics, Vol. VI. Pergamon.
23. Leonard, B. P., 1979: A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng., 19, 59-98.
24. _, and H. S. Niknafs, 1991: Sharp monotonic resolution of discontinuities without clipping of narrow extrema. Comput. Fluids., 19, 141-154.
25. Lilly, D. K., 1965: On the computational stability of the time-dependent nonlinear geophysical fluid dynamics problem. Mon. Wea. Rev., 93, 11-26.
26. Oberhuber, J., 1993: Simulation of the Atlantic circulation with a coupled sea-ice mixed layer-isopycnal general circulation model. Part 1: Model description. J. Phys. Oceanogr., 23, 808-829.
27. Obukhov, A. M., 1962: On the dynamics of a stratified fluid. Dokl. Akad. Nauk SSSR, 145(6), 1239-1242. [English translation in Soviet Physics, Dokl. 7, 682-684.]
28. Obukhov, A. M., 1962: On the dynamics of a stratified fluid. Dokl. Akad. Nauk SSSR, 145(6), 1239-1242. [English translation in Soviet Physics, Dokl. 7, 682-684.]
29. Sadourny, R., 1975: The dynamics of finite-difference models of the shallow water equations. J. Atmos. Sci., 32, 680-689.
30. _, and C. Basdevant, 1985: Parameterization of subgrid-scale barotropic and baroclinic eddies in quasigeostrophic models: The anticipated potential vorticity method. J. Atmos. Sci., 42, 1353-1363.
31. Schär, C., and R. Smith, 1993: Shallow water flow past isolated topography. Part I: Vortex production and wake. J. Atmos. Sci., 50, 1373-1401.
32. Tan, W., 1992: Shallow Water Hydrodynamics, Elsevier.