A direct method for constructing refined regions in unstructured conforming triangular-hexagonal computational grids: Application to OLAM

Monthly Weather Review

Volumn 139, Issue 12, 2011, Pages 3923-3937

  Walko, Robert L ^a   Avissar, Roni ^a  

^a UNIVERSITY OF MIAMI   (United States)

Author keywords

Grid systems; Model evaluation performance; Multigrid models

Indexed keywords

COMPUTATIONAL GRIDS; COMPUTATIONAL MESH; DELAUNAY; DELAUNAY MESHES; DIRECT METHOD; DYNAMIC MESH; GRID CELLS; GRID SYSTEMS; HANGING NODES; MESH REFINEMENT; MODEL EVALUATION/PERFORMANCE; MULTI-GRID MODEL; NON-ITERATIVE; REFINEMENT METHODS; SHALLOW-WATER; TEST CASE; VORONOI;

MATHEMATICAL MODELS; METEOROLOGY;

REFINING;

ALGORITHM; ATMOSPHERIC MODELING; CLIMATE MODELING; NUMERICAL MODEL; SHALLOW WATER; SHAPE; TWO-DIMENSIONAL MODELING;

EID: 84855792687     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/MWR-D-11-00021.1     Document Type: Article

References (25)

1. Clark, T. L., and R. D. Farley, 1984: Severe downslope windstorm calculations in two and three spatial dimensions using anelastic interactive grid nesting: A possible mechanism for gustiness. J. Atmos. Sci., 41, 329-350.
2. Courtier, P., and J. F. Geleyn, 1988: A global model with variable resolution-Application to the shallow-water equations. Quart. J. Roy. Meteor. Soc., 114, 1321-1346.
3. Fox-Rabinovitz, M. S., G. L. Stenchikov, M. J. Suarez, and L. L. Takacs, 1997: A finite-difference GCM dynamical core with a variable-resolution stretched grid. Mon. Wea. Rev., 125, 2943-2968.
4. Gassmann, A., 2011: Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations. J. Comput. Phys., 230, 2706-2721.
5. Guo, D. X., and J. B. Drake, 2005: A global semi-Lagrangian spectral model of the shallow water equations with variable resolution. J. Comput. Phys., 206, 559-577.
6. Heikes, R., and D. A. Randall, 1995a: Numerical integration of the shallow-water equations on a twisted iscoahedral grid. Part I: Basic design and results of tests. Mon. Wea. Rev., 123, 1862-1880.
7. Heikes, R., and D. A. Randall, 1995b: Numerical integration of the shallow-water equations on a twisted iscoahedral grid. Part II: A detailed description of the grid and an analysis of numerical accuracy. Mon. Wea. Rev., 123, 1881-1887.
8. Majewski, D., Coauthors, 2002: The operational global icosahedral-hexagonal gridpoint model GME: description and high-resolution tests. Mon. Wea. Rev., 130, 319-338.
9. Medvigy, D., R. L. Walko, and R. Avissar, 2008: Modeling interannual variability of the Amazon hydroclimate. Geophys. Res. Lett., 35, L15817, doi:10.10129/2008GL034941.
10. Ringler, T., L. Ju, and M. Gunzburger, 2008: A multiresolution method for climate system modeling: Applications of spherical centroidal Voronoi tessellations. Ocean Dyn., 58, 475-498.
11. Ringler, T., J. Thuburn, J. B. Klemp, and W. C. Skamarock, 2010: A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids. J. Comput. Phys., 229, 3065-3090.
12. Ringler, T., D. Jacobsen, M. Gunzburger, L. Ju, M. Duda, and W. Skamarock, 2011: Exploring a multiresolution modeling approach within the shallow-water equations. Mon. Wea. Rev., 139, 3348-3368.
13. Sadourny, R., A. Arakawa, and Y. Mintz, 1968: Integration of the non-divergent barotropic vorticity equation with an icosahedral-hexagonal grid for the sphere. Mon. Wea. Rev., 96, 351-356.
14. Schmidt, F., 1977: Variable fine mesh in spectral global model. Beitr. Phys. Atmos., 50, 211-217.
15. Skamarock, W. C., and J. B. Klemp, 1993: Adaptive grid refinement for two-dimensional and three-dimensional nonhydrostatic atmospheric flow. Mon. Wea. Rev., 121, 788-804.
16. St.-Cyr, A., C. Jablonowski, J. M. Dennis, H. M. Tufo, and S. J. Thomas, 2008: A comparison of two shallow-water models with nonconforming adaptive grids.Mon. Wea. Rev., 136, 1898-1922.
17. Tomita, H., M. Satoh, and K. Goto, 2002: An optimization of the icosahedral grid modified by spring dynamics. J. Comput. Phys., 183, 307-331.
18. Walko, R. L., and R.Avissar, 2008a: TheOcean-Land-Atmosphere Model (OLAM). Part I: Shallow-water tests. Mon. Wea. Rev., 136, 4033-4044.
19. Walko, R. L., and R.Avissar, 2008b: The Ocean-Land-Atmosphere Model (OLAM). Part II: Formulation and tests of the nonhydrostatic dynamic core. Mon. Wea. Rev., 136, 4045-4062.
20. Walko, R. L., C. J. Tremback, R. A. Pielke Sr., and W. R. Cotton, 1995: An interactive nesting procedure for stretched grids and variable nesting ratios. J. Appl. Meteor., 34, 994-999.
21. Weller, H., H. G.Weller, and A. Fournier, 2009: Voronoi, Delaunay, and block-structuredmesh refinement for solution of the shallowwater equations on the sphere. Mon. Wea. Rev., 137, 4208-4224.
22. Williamson, D. L., 1968: Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus, 20, 642-653.
23. Williamson, D. L., J. B. Drake, J. J. Hack, R. Jakob, and P. N. Swarztrauber, 1992: A standard test set for numerical approximations to the shallow-water equations in spherical geometry. J. Comput. Phys., 102, 221-224.
24. Zalesak, S. T., 1979: Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys., 31, 335-362.
25. Zhang, D.-L., H.-R. Chang, N. L. Seaman, T. T. Warner, and J. M. Fritsch, 1986: A two-way interactive nesting procedure with variable terrain resolution. Mon. Wea. Rev., 114, 1330-1339.