Flux-limited advection for tracers in an ocean general circulation model

Journal of Atmospheric and Oceanic Technology

Volumn 16, Issue 9, 1999, Pages 1284-1290

  Stratford, Kevin ^a,b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; CLIMATE MODELING; OCEANIC GENERAL CIRCULATION MODEL; TRACER;

EID: 0033375445     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0426(1999)016<1284:FLAFTI>2.0.CO;2     Document Type: Article

References (31)

1. Bryan, K., 1969: A numerical method for the study of the circulation of the world ocean. J. Comput. Phys., 4, 347-376.
2. _, and _, 1967: A numerical investigation of the oceanic general circulation. Tellus, 19, 54-80.
3. Cox, M. D., 1984: A primitive equation, three-dimensional model of the ocean. GFDL Ocean Group Tech. Rep., 1, 143 pp. [Available from Geophysical Fluid Dynamics Laboratory, Princeton University, Princeton, NJ 08542.]
4. 14C, temperature, and salinity in a three-dimensional ocean general circulation model. J. Phys. Oceanogr., 27, 498-523.
5. Dukowicz, J. K., and J. D. Ramshaw, 1979: Tensor viscosity method for convection in numerical fluid dynamics. J. Comput. Phys., 32, 71-79.
6. Farrow, D. E., and D. P. Stevens, 1995: A new tracer advection scheme for Bryan and Cox type ocean general circulation models. J. Phys. Oceanogr., 25, 1731-1741.
7. Gent, P. R., and J. C. McWilliams, 1990: Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20, 150-155.
8. _, J. Willebrand, T. J. McDougall, and J. C. McWilliams, 1995: Parameterizing eddy-induced transports in ocean circulation models. J. Phys. Oceanogr., 25, 463-474.
9. Gerdes, R., C. Köberle, and J. Willebrand, 1991: The influence of numerical advection schemes on the results of ocean general circulation models. Climate Dyn., 5, 211-226.
10. Haney, R. L., 1971: Surface thermal boundary condition for ocean circulation models. J. Phys. Oceanogr., 1, 241-248.
11. Hecht, M. W., W. R. Holland, and P. J. Rasch, 1995: Upwind-weighted advection schemes for ocean tracer transport: An evaluation in a passive tracer context. J. Geophys. Res., 100, 20 763-20 778.
12. Holm, E. V., 1995: A fully two-dimensional, nonoscillatory advection scheme for momentum and scalar transport equations. Mon. Wea. Rev., 123, 536-552.
13. Killworth, P. D., D. Stainforth, D. J. Webb, and S. M. Patterson, 1991: The development of a free-surface Bryan-Cox-Semtner ocean model. J. Phys. Oceanogr., 21, 1333-1348.
14. Leonard, B. P., 1979: A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng., 88, 59-98.
15. _, M. K. MacVean, and A. P. Lock, 1993: Positivity-preserving numerical schemes for multidimensional advection. NASA Tech. Memo. 106055 ICOMP-93-95, 62 pp. [Available from the NASA John H. Glenn Research Center at Lewis Field, Cleveland, Ohio, 44135.]
16. _, A. P. Lock, and M. K. MacVean, 1996: Conservative explicit unrestricted time step multidimensional constancy-preserving advection schemes. Mon. Wea. Rev., 124, 2588-2606
17. Pacanowski, R. C., K. Dixon, and A. Rosati, 1990: The GFDL modular ocean model user guide, version 1.0. GFDL Ocean Group Tech. Rep. 2, 24 pp. [Available from Geophysical Fluid Dynamics Laboratory/NOAA, Princeton University, Princeton, NJ 08542.]
18. Pietrzak, J., 1998: The use of TVD limiters for forward-in-time upstream-biased advection schemes in ocean modeling. Mon. Wea. Rev., 126, 812-830.
19. Rasch, P. J., 1994: Conservative shape-preserving two-dimensional transport on a spherical reduced grid. Mon. Wea. Rev., 122, 1337-1350.
20. Redi, M. H., 1982: Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr., 12, 1154-1158.
21. Shchepetkin, A. F., and J. C. McWilliams, 1998: Quasi-monotone advection schemes based on explicit locally adaptive dissipation. Mon. Wea. Rev., 126, 1541-1580.
22. Smolarkiewicz, P. K., 1984: A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comput. Phys., 54, 325-362.
23. Strang, G., 1968: On the construction and comparison of difference schemes. SIAM J. Numer. Anal., 5, 506-517.
24. Thuburn, J., 1996: Multidimensional flux-limited advection schemes. J. Comput. Phys., 123, 74-83.
25. Tóth, G., and D. Odstrčil, 1996: Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems. J. Comput. Phys., 128, 82-100.
26. Weaver, A. J., and E. S. Sarachik, 1990: On the importance of vertical resolution in certain ocean general circulation models. J. Phys. Oceanogr., 20, 600-609.
27. _, and M. Eby, 1997: On the numerical implementation of advection schemes for use in conjunction with various mixing parameterizations in the GFDL ocean model. J. Phys. Oceanogr., 27, 369-377.
28. Webb, D. J., A. C. Coward, B. A. de Cuevas, and C. S. Gwilliam, 1997: A multiprocessor ocean general circulation model using message passing. J. Atmos. Oceanic Technol., 14, 175-183.
29. _, B. A. de Cuevas, and C. S. Richmond, 1998: Improved advection schemes for ocean models. J. Atmos. Oceanic Technol., 15, 1171-1187.
30. Yang, H. Q., and A. J. Przekwas, 1992: A comparative study of advanced shock-capturing schemes applied to Burgers' equation. J. Comput. Phys., 102, 139-159.
31. Zalesak, S. T., 1979: Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys., 31, 335-362.