Modeling the atmospheric general circulation using a spherical geodesic grid: A new class of dynamical cores

Monthly Weather Review

Volumn 128, Issue 7 II, 2000, Pages 2471-2490

  Ringler, Todd D ^a   Heikes, Ross P ^a   Randall, David A ^a  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC GENERAL CIRCULATION MODEL; CORE ANALYSIS; GEODESY; MODEL VALIDATION;

EID: 0033832359     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2000)128<2471:mtagcu>2.0.co;2     Document Type: Article

References (47)

1. Arakawa, A., and V. R. Lamb, 1977: Computational design of the basic dynamical process of the UCLA general circulation model. Methods in Computational Physics, Vol. 17, Academic Press, 173-265.
2. Baumgardner, J. R., and P. O. Frederickson, 1985: Icosahedral discretization of the two-sphere. SIAM J. Numer. Anal., 22, 1107-1115.
3. Bourke, W., 1974: A multilevel spectral model. I. Formulation and hemispheric integrations. Mon. Wea. Rev., 102, 687-701.
4. Charney, J. G., R. Fjortoft, and J. von Neumann, 1950: Numerical integration of the barotropic vorticity equation. Tellus, 2, 237-254.
5. Cooley, J. W., and J. W. Tukey, 1965: An algorithm for the machine computation of complex Fourier series. Math. Comput., 19, 297-301.
6. Ding, P., and D. A. Randall, 1988: A cumulus parameterization with multiple could base levels. J. Geophys. Res., 103, 11 341-11 354.
7. Durran, D. R., 1991: The third-order Adams-Bashforth method: An attractive alternative to leaprog time differencing. Mon. Wea. Rev., 119, 702-720.
8. Eliasen, E., B. Machenhauer, and E. Rasmussen, 1970: On a numerical method for integration of the hydrodynamical equations with a spectral representation of the horizontal fields. Institut for Teoretisk Meteorologi Rep. 2, University of Copenhagen, 37 pp.
9. Fowler, I. D., D. A. Randall, and S. A. Rutledge, 1996: Liquid and ice cloud microphysics in the CSU general circulation model. Part I: Model description and simulated microphysical processes. J. Climate, 9, 489-529.
10. Greenberg, M. D., 1978: Foundations of Applied Mathematics. Prentice-Hall, 636 pp.
11. Haltiner, G. J., and R. T. Williams, 1980: Numerical Prediction and Dynamic Meteorology. John Wiley and Sons, 477 pp.
12. Harshvardhan, D. A. Randall, T. G. Corsetti, and D. A. Dazlich, 1989: Earth radiation budget and cloudiness simulations with a general circulation model. J. Atmos. Sci., 46, 1922-1942.
13. Heikes, R., 1993: The shallow water equations on a spherical geodesic grid. Department of Atmospheric Science Tech. Rep. 524, Colorado State University, Fort Collins, CO, 175 pp.
14. _, and D. A. Randall, 1995a: Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part I: Basic design and results of tests. Mon. Wea. Rev., 123, 1862-1880.
15. _, and _, 1995b: Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part II: A detailed description of the grid and an analysis of numerical accuracy. Mon. Wea. Rev., 123, 1881-1887.
16. Held, I. M., and M. J. Suarez, 1994: A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models. Bull. Amer. Meteor. Soc., 73, 1825-1830.
17. Hoskins, B. J., and A. J. Simmons, 1975: A multi-spectral model and the semi-implicit method. Quart. J. Roy. Meteor. Soc., 101, 636-655.
18. Hsu, Y.-J. G., and A. Arakawa, 1990: Numerical modeling of the atmosphere with an isentropic vertical coordinate. Mon. Wea. Rev., 118, 1933-1959.
19. Jaluria, Y., and K. E. Torrance, 1986: Computational Heat Transfer. Hemisphere Publishing, 366 pp.
20. Jarrud, M., and A. J. Simmon, 1983: The spectral technique. Proc. Seminar on Numerical Methods for Weather Prediction, Reading, United Kingdom, European Centre for Medium-Range Weather Forecasts, 1-60.
21. Jones, P. W., 1999: First- and second-order conservative remapping schemes for grids in spherical coordinates. Mon. Wea. Rev., 127, 2204-2210.
22. Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc., 77, 437-471.
23. Konor, C. S., and A. Arakawa, 1997: Design of an atmospheric model based on a generalized vertical coordinate. Mon. Wea. Rev., 125, 1649-1673.
24. Masuda, Y., and H. Ohnishi, 1986: An integration scheme of the primitive equations model with an icosahedral-hexagonal grid system and its application to the shallow water equations. Short-and Medium-Range Numerical Weather Prediction, T. Matsuno, Ed., Japan Meteorological Society, 317-326.
25. Orlanski, I., 1985: Advances in the theory of atmospheric fronts. Advances in Geophysics, Vol. 28, Academic Press, 223-252.
26. Orszag, S. A., 1970: Transform method for the calculation of vector-coupled sums: Application to the spectral form of the vorticity equation. J Atmos. Sci., 27, 890-895.
27. Palmer, T. N., G. J. Shutts, and R Swinbank, 1986 Alleviation of a systematic westerly bias in general circulation and numerical weather prediction models through an orographic gravity wave drag parametrization. Quart. J. Roy. Meteor. Soc., 112, 1001-1039.
28. Panton, R. L., 1984: Incompressible Flow. John Wiley and Sons, 780 PP.
29. Phillips, N. A., 1957: A coordinate system having some special advantages for numerical forecasting J. Meteor., 14, 184-185
30. Phillips, T. J., 1996: Documentation of the AMIP models on the World Wide Web. Bull. Amer. Meteor. Soc., 77, 1191-1196.
31. Randall, D. A. 1994 Geostrophic adjustment and the finite-difference shallow water equations. Mon. Wea. Rev., 122, 1371-1377.
32. Richardson, L. F., 1922: Weather Prediction by Numerical Process. Cambridge University Press, 236 pp.
33. Ringler, T. D., R. P. Heikes, and D. A. Randall, 1998: Solving the primitive equations on a spherical geodesic grid: A technical report to a new class of dynamical cores. Department of Atmospheric Science Tech. Rep. 665, Colorado State University, Fort Collins, CO, 62 pp.
34. Royer, J. F. 1986: Correction of negative mixing ratios in spectral models by global horizontal borrowing. Mon. Wea. Rev., 114, 1406-1410.
35. Sadourny, R., A. Arakawa, and Y. Mintz, 1968: Integration of the nondivergent barotropic vorticity equation with an icosahedalhexagonal grid for the sphere. Mon. Wea. Rev., 96, 351-356.
36. Sellers, P. J., and Coauthors, 1996: A revised land surface parameterization (SiB2) for atmospheric GCMs. Part I: Model formulation. J. Climate, 9, 676-705.
37. Stuhne, G. R., and W. R. Peltier, 1996 Vortex erosion and amalgamation in a new model of large scale flow on the sphere. J. Comput. Phys., 128, 58-81.
38. _, and _, 1999: New icosahedral grid-point discretizations of the shallow water equations on the sphere. J Comput. Phys., 144, 23-58.
39. Suarez, M. J., A. Arakawa, and R. A. Randall, 1983: Parameterization of the planetary boundary layer in the UCLA general circulation model: Formulation and results. Mon. Wea. Rev., 111, 2224-2243.
40. Swarztrauber, P. N., D. L. Williamson, and J. B. Drake, 1997: The Cartesian method for solving partial differential equations in spherical geometry. Dyn. Atmos. Oceans, 27, 679-706.
41. Tennekes, H., and J. L. Lumley, 1972: A First Course in Turbulence. The MIT Press, 300 pp.
42. Thuburn, J., 1997: A PV-based shallow-water model on a hexagonalicosahedral grid. Mon. Wea. Rev., 125, 2328-2347.
43. Williamson, D. L., 1968: Integration of the barotropic vorticity equation on a spherical geodesic grid Tellus. 20, 642-653.
44. _, 1976: Linear stability of finite-difference approximations on a uniform latitude-longitude grid with Fourier filtering. Mon. Wea. Rev., 104, 31-41.
45. Xie, P. P., and P. A. Arkin, 1996: Analyses of global monthly precipitation using gauge observations, satellite estimates, and numerical model prediction. J. Climate, 9, 840-858.
46. Zalesak, S., 1979: Fully multidimensional Flux-corrected transport algorithms for fluids. J. Comput. Phys., 31, 335-362.
47. MONTHLY WEATHER REVIEW VOLUME 128