Conservative and oscillation-less atmospheric transport schemes based on rational functions

Journal of Geophysical Research Atmospheres

Volumn 107, Issue 22, 2002, Pages ACL-2-1-ACL-2-11

  Xiao, F ^a   Yabe, T ^a   Peng, X ^b   Kobayashi, H ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

3210 Mathematical Geophysics: Modeling; 3230 Mathematical Geophysics: Numerical solutions; 3337 Meteorology and Atmospheric Dynamics: Numerical modeling and data assimilation

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; EARTH ATMOSPHERE; INTERPOLATION; MAPPING; NUMERICAL ANALYSIS; TRANSPORT PROPERTIES;

ATMOSPHERIC TRANSPORT; NUMERICAL MODEL;

EID: 36448972734     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001JD001532     Document Type: Article

References (20)

1. Arakawa, A., and V. R. Lamb, Computational design of the basic dynamical processes of the UCLA general circulation model, Methods Comput. Phys., 17, 173-265, 1977.
2. Boris, J. P., and D. L. Book, Flux corrected transport, I, SHASTA: A fluid transport algorithm that works, J. Comput. Phys., 11, 38-69, 1973.
3. Carpenter, R. L., Jr., K. K. Drocgemeier, P. R. Woodward, and C. E. Hane, Application of the piecewise parabolic method (PPM) to meteorological modeling. Mon. Weather Rev., 118, 586-612, 1990.
4. Collela, P., and P. R. Woodward, The piecewise parabolic method (PPM) for gas-dynamical simulations, J. Comput. Phys., 54, 174-201, 1984.
5. Laney, C. B., Computational Gasdynamics, 613 pp., Cambridge Univ. Press, New York, 1998.
6. Lin, S. J., and R. B. Rood, Multidimensional flux-form semi-Lagrangian transport schemes, Mon. Weather Rev., 124, 2046-2070, 1996.
7. McGregor, J. L., Economical determination of departure points for semiLagrangian models, Mon. Weather Rev., 121, 221-230, 1992.
8. Nakamura, T., R. Tanaka, T. Yabe, and K. Takizawa, Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique, J. Comput. Phys., 174, 171-207, 2001.
9. Prather, M. J., Numerical advection by construction of second-order moments, J. Geophys. Res., 91, 6671-6681, 1986.
10. Strang, G., On the construction and comparison of difference schemes, SIAM J. Numer. Anal., 5, 506-517, 1968.
11. Sweby, P. K., High resolution schemes using flux limiters for hyperbolic conservation laws, SIAM J. Numer. Anal, 21, 995-1011, 1984.
12. Takacs, L., A two-step scheme for the advection equation with minimized dissipation and dispersion errors, Mon. Weather Rev., 113, 1050-1065, 1985.
13. Tanaka, R., T. Nakamura, and T. Yabe, Constructing exactly conservative scheme in a non-conservative form, Comput. Phys. Commun., 126,232-243, 2000.
14. van Leer, B., Toward the ultimate conservative difference scheme, part IV, A new approach to numerical convection, J. Comput. Phys., 23, 276-299, 1977.
15. van Leer, B., Toward the ultimate conservative difference scheme, part V, A second order sequel to Godunov's method, J. Comput. Phys., 32, 101-136, 1979.
16. Verwer, J. G., W. H. Hundsdorfer, and J. G. Blom, Numerical time integration for air pollution models, CWI Report, MAS-R9825, 1998.
17. Yabe, T., R. Tanaka, T. Nakamura, and F. Xiao, Exactly conservative semiLagrangian scheme (CIP-CSL) in one dimension, Mon. Weather Rev., 129, 332-344, 2001.
18. Xiao, F., and T. Yabe, Completely conservative and oscillation-less semiLagrangian schemes for advection transport, J. Comput. Phys., 170, 498-522, 2001.
19. Xiao, F., T. Yabe, and T. Ito, Constructing oscillation preventing scheme for advection equation by rational function, Comput. Phys. Commun., 93, 1-12, 1996.
20. Zalesak, S. T., Fully multidimensional flux corrected transport algorithm for fluids, J. Comput. Phys., 31, 335-362, 1979.