Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling

Journal of Geophysical Research: Oceans

Volumn 102, Issue C3, 1997, Pages 5733-5752

  Marshall, John ^a   Hill, Chris ^a   Perelman, Lev ^a   Adcroft, Alistair ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW MODELLING; HYDRODYNAMICS; NAVIER-STOKES EQUATIONS; OCEAN MODELS;

EID: 0030747110     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/96JC02776     Document Type: Article

References (20)

1. Adcroft, A., C. Hill, and J. Marshall, On the representation of topography using shaved cells in height coordinate ocean models, Mon. Weather Rev., in press, 1996.
2. Bretherton, F. P., Critical layer instability in baroclinic flows, Q. J. R. Meteorol. Soc., 92, 325-334, 1966.
3. Browning, G. L., W. R. Holland, H.-O. Kreiss, and S. J. Worley, An accurate hyperbolic system for approximately hydrostatic and incompressible flows, Dyn. Atmos. Oceans, 14, 303-332, 1990.
4. Brugge, R., H. L. Jones, and J. C. Marshall, Non-hydrostatic ocean modeling for studies of open-ocean deep convection, in Deep Convection and Deep Water Formation in the Oceans, Elsevier Oceanogr. Ser., vol. 57, pp. 325-340, Elsevier Sci., New York, 1991.
5. Bryan, K., A numerical model for the study of the circulation of the world ocean, J. Comput. Phys., 4, 347-376, 1969.
6. Dukowicz, J. K., and A. S. Dvinsky, Approximate factorization as a high order splitting for the implicit incompressible flow equations, J. Comput. Phys., 102, 336-347, 1992.
7. Dukowicz, J. K., R. D. Smith, and R. C. Malone, A reformulation and implementation of the Bryan-Cox-Semtner ocean model on the connection machine, J. Atmos. Oceanic Technol., 10, 195-208, 1993.
8. Eckart, C., The Hydrodynamics of Oceans and Atmospheres, Pergamon, Tarrytown, N. Y., 1960.
9. Gill, A., Atmosphere-Ocean Dynamics, Academic, San Diego, Calif., 1982.
10. Gresho, P. M., and R. Sani, On pressure boundary conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, 7, 1111-1145, 1987.
11. Haine, T., and J. Marshall, Gravitational, symmetric and baroclinic instability of the oceanic mixed layer, J. Phys. Oceanogr., in press, 1996.
12. Harlow, F. H., and J. E. Welch, Time depended viscous flow, Phys. Fluids, 8, 2182-2193, 1965.
13. Jones, H., and J. Marshall, Convection with rotation in a neutral ocean: A study of open-ocean deep convection, J. Phys. Oceanogr., 23, 1009-1039, 1993.
14. Julien, K., S. Legg, J. McWilliams, and J. Werne, Rapidly rotating turbulent Raleigh-Benard convection, J. Fluid Mech., in press, 1996.
15. Klinger, B., J. Marshall, and U. Send, Representation of convective plumes by vertical adjustment, J. Geophys. Res., 101(C8), 18,175-18,182, 1996.
16. Legg, S., and J. Marshall, A heton model of the spreading phase of open-ocean deep convection, J. Phys. Oceanogr., 23, 1041-1056, 1993.
17. Lorenz, E. N., The nature and theory of the general circulation of the atmosphere, WMO 218, TP 115, World Meteorol. Organ., Geneva, Switzerland, 1967.
18. Mahadevan, A., J. Oliger, and R. Street, A non-hydrostatic mesoscale ocean basin model, I, Well-posedness and scaling, J Phys. Oceanogr., in press, 1996a.
19. Mahadevan, A., J. Oliger, and R. Street, A non-hydrostatic mesoscale ocean model, II, Numerical implementation, J. Phys. Oceanogr., in press, 1996b.
20. Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers, J. Geophys. Res., this issue.