Geometrically exact conservative remapping (GECoRe): Regular latitude-longitude and cubed-sphere grids

Monthly Weather Review

Volumn 137, Issue 6, 2009, Pages 1721-1741

  Ullrich, Paul Aaron ^a   Lauritzen, Peter H ^b   Jablonowski, Christiane ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-MONOTONE; ATMOSPHERIC MODEL; GEOMETRICAL SYMMETRIES; GLOBAL APPLICATIONS; MODEL COMPONENTS; REGRIDDING; REMAPPING; SPHERICAL GRIDS; STATE VARIABLES; TEST CASE; WATER BUDGET;

OCEANOGRAPHY;

SPHERES;

ALGORITHM; ATMOSPHERIC MODELING; NUMERICAL MODEL; WEATHER FORECASTING;

EID: 68249138416     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/2008MWR2817.1     Document Type: Article

References (17)

1. Barth, T., and D. Jespersen, 1989: The design and application of upwind schemes on unstructured meshes. Proc. AIAA 27th Aerospace Sciences Meeting, Reno, NV, AIAA, AIAA-89-0366.
2. Bockman, S., 1989: Generalizing the formula for areas of polygons to moments. Amer. Math. Mon., 96 (2), 131-132.
3. Chung, T. J., 2002: Computational Fluid Dynamics. Cambridge University Press, 800 pp.
4. Colella, P., and P. R. Woodward, 1984: The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys., 54, 174-201.
5. Collins, W., and Coauthors, 2006: The Community Climate System Model version 3 (CCSM3). J. Climate, 19, 2122-2143.
6. Dukowicz, J. K., and J. W. Kodis, 1987: Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations. SIAM J. Sci. Stat. Comput., 8 (3), 305-321.
7. Jones, P. W., 1999: First- and second-order conservative remapping schemes for grids in spherical coordinates. Mon. Wea. Rev., 127, 2204-2210.
8. Lauritzen, P. H., and R. D. Nair, 2008: Monotone and conservative cascade remapping between spherical grids (CaRS): Regular latitude-longitude and cubed-sphere grids. Mon. Wea. Rev., 136, 1416-1432.
9. Margolin, L. G., and M. Shashkov, 2003: Second-order sign-preserving conservative interpolation (remapping) on general grids. J. Comput. Phys., 184, 266-298.
10. Nair, R. D., and B. Machenhauer, 2002: The mass-conservative cell-integrated semi-Lagrangian advection scheme on the sphere. Mon. Wea. Rev., 130, 649-667.
11. Nair, R. D., S. J. Thomas, and R. D. Loft, 2005:A discontinuous Galerkin transport scheme on the cubed sphere. Mon. Wea. Rev., 133, 814-828.
12. Putman, W. M., and S.-J. Lin, 2007: Finite-volume transport on various cubed-sphere grids. J. Comput. Phys., 227, 55-78.
13. Rančić, M., 1992: Semi-Lagrangian piecewise biparabolic scheme for two-dimensional horizontal advection of a passive scalar. Mon. Wea. Rev., 120, 1394-1405.
14. Rančić, M., J. Purser, and F. Mesinger, 1996: A global shallow water model using an expanded spherical cube. Quart. J. Roy. Meteor. Soc., 122, 959-982.
15. Ronchi, C., R. Iacono, and P. S. Paolucci, 1996: The "cubed sphere": A new method for the solution of partial differential equations in spherical geometry. J. Comput. Phys., 124, 93-114.
16. Sadourny, R., 1972: Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids. Mon. Wea. Rev., 100, 136-144.
17. Zerroukat, M., N. Wood, and A. Staniforth, 2005: A monotonic and positive-definite filter for a semi-Lagrangian inherently conserving and efficient (SLICE) scheme. Quart. J. Roy. Meteor. Soc., 131 (611), 2923-2936.