A multistep flux-corrected transport scheme

Journal of Computational Physics

Volumn 229, Issue 24, 2010, Pages 9284-9298

  Lee, Jin Luen ^a   Bleck, Rainer ^b   MacDonald, Alexander E ^a  

^a EARTH SYSTEM RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

Finite volume model; Icosahedral grid; Multistep flux corrected transport; The third order Adams Bashforth

Indexed keywords

SHEAR FLOW;

ADAMS-BASHFORTH; FINITE VOLUME MODELING; FLUX CORRECTED TRANSPORT SCHEME; FLUX CORRECTED TRANSPORTS; ICOSAHEDRAL GRID; MULTISTEP FLUX-CORRECTED TRANSPORT; MULTISTEPS; THE THIRD-ORDER ADAM-BASHFORTH; THIRD ORDER; TRACER TRANSPORT;

ADVECTION;

EID: 77957749243     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.08.039     Document Type: Article

References (23)

1. Thuburn J. Multidimensional flux-limited advection schemes. J. Comput. Phys. 1996, 123:74-83.
2. Boris J., Book D. Flux-corrected transport. I. Shasta, a fluid transport algorithm that works. J. Comput. Phys. 1973, 11:38-69.
3. Book D., Boris J., Hain K. Flux-corrected transport. II. Generalization of the method. J. Comput. Phys. 1975, 18:248-283.
4. Zalesak S. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 1979, 31:335-362.
5. Bleck R., Boudra D.B. Wind-driven spingup in eddy-resolving ocean models formulated in isopycnic and isobaric coordinates. J. Geophys. Res. 1986, 91:7611-7621.
6. Smolarkiewicz P.K., Grabowski W.W. The multidimensional positive definite advection transport algorithm: nonoscillatory option. J. Comput. Phys. 1990, 86:355-375.
7. van Leer B. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second order scheme. J. Comput. Phys. 1974, 14:361-370.
8. Lin S.J., Rood R. Multidimensional flux-form semi-lagrangian transport schemes. Mon. Wea. Rev. 1996, 124:2046-2070.
9. Zerroukat M., Wood N., Staniforth A. A monotonic and positive-definite filter for a semi-lagrangian inherently conserving and efficient (slice) scheme. Quart. J. Roy. Meteor. Soc. 2005, 131:2923-2936.
10. Dukowicz J., Baumgarddner J. Incremental remapping as a transport/advection algorithm. J. Comput. Phys. 2000, 119:702-720.
11. Lipscomb W., Ringler T.D. An incremental remapping transport scheme on a spherical geodesic grid. Mon. Wea. Rev. 2005, 133:2335-2350.
12. Miura H. An upwind-biased conservative advection scheme for spherical hexagonal-pentagonal grids. Mon. Wea. Rev. 2007, 135:4038-4044.
13. Yeh K.-S. The streamline subgrid integration method: I. Quasi-monotonic second-order transport. J. Comput. Phys. 2007, 225:1632-1652.
14. Lauritzen P., Nair R., Ullrich P. A conservative semi-lagrangian multi-tracer transport scheme (cslam) on the cubed-sphere grid. J. Comput. Phys. 2010, 229:1401-1424.
15. Skamarock W.C. Positive-definite and monotonic limiters for unrestricted-time-step transport schemes. Mon. Wea. Rev. 2006, 134:2241-2250.
16. Durran D. The third-order adams-bashforth method: an attractive alternative to leapfrog time differencing. Mon. Wea. Rev. 1991, 119:702-720.
17. Heikes R.H., Randall D.A. Numerical integration of the shallow-water equations on a twisted icosahedral grid. I. Basic design and results of tests. Mon. Wea. Rev. 1995, 123:1862-1880.
18. Lee J.-L., MacDonald A.E. Qnh: mesoscale bounded derivative initialization and winter storm test over complex terrain. Mon. Wea. Rev. 2000, 128:1037-1051.
19. Gottlieb S., Shu C.-W., Tadmor E. Strong stability-preserving high-order time discretization methods. SIAM Rev. 2001, 43:89-112.
20. Masuda Y., Ohnishi H. A finite-difference scheme by making use of the primitive equation model with an icosahedral-hexagonal grid system and its application to the shallow-water equations. Short- and Medium-Range Numerical Weather Prediction. Japan meteorological Society 1987, 317-326.
21. Tomita H., Tsugawa M., Satoh M., Goto K. Shallow water model on a modified icosahedral geodesic grid by using spring dynamics. J. Comput. Phys. 2001, 174:579-613.
22. Lee J.-L., MacDonald A.E. A finite-volume icosahedral shallow water model on local coordinate. Mon. Wea. Rev. 2009, 137:1422-1437.
23. Williamson D., Drake J.B., Hack J.J., Jakob R., Swarztrauber P.N. A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 1992, 102:221-224.