Inert trace constituent transport in sigma and hybrid isentropic-sigma models. Part I: Nine advection algorithms

Monthly Weather Review

Volumn 127, Issue 2, 1999, Pages 173-187

  Reames, Fred M ^a,b   Zapotocny, Tom H ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MODEL; ANALYTIC METHOD;

ADIABATIC PROCESS; ADVECTION; ALGORITHM; ATMOSPHERIC TRANSPORT; NUMERICAL MODEL;

EID: 0032599675     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1999)127<0173:ITCTIS>2.0.CO;2     Document Type: Article

References (26)

1. Allen, D. J., A. R. Douglass, R. B. Rood, and P. D. Guthrie, 1991: Application of a monotonic upstream-biased transport scheme to three-dimensional constituent transport calculations. Mon. Wea. Rev., 119, 2456-2464.
2. Carpenter, R. L., Jr., K. K. Droegemeier, P. R. Woodward, and C. E. Hane, 1990: Application of the piecewise parabolic method (PPM) to meteorological modeling. Mon. Wea. Rev., 118, 586-612.
3. Chahine, M. T., 1992: The hydrological cycle and its influence on climate. Nature, 359, 373-380.
4. 2 due to seasonal exchange with land biota. Nature, 376, 240-243.
5. Johnson, D. R., T. H. Zapotocny, F. M. Reames, B. J. Wolf, and R. B. Pierce, 1993: A comparison of simulated precipitation by hybrid isentropic-sigma and sigma models. Mon. Wea. Rev., 121, 2088-2114.
6. Kurihara, V., and J. L. Holloway, 1967: Numerical integration of a nine level global primitive equation model formulated by the box method. Mon. Wea. Rev., 95, 509-529.
7. Lin, S.-J., W. C. Chao, Y. C. Sud, and G. K. Walker, 1994: A class of the Van Leer-type transport schemes and its application to the moisture transport in a general circulation model. Mon. Wea. Rev., 122, 1575-1593.
8. Liu, G., J. A. Curry, and R.-S. Sheu, 1995: Classification of clouds over the western equatorial Pacific Ocean using combined infrared and microwave satellite data. J. Geophys. Res., 100, 13 811-13 826.
9. Mahlman, J. D., and R. W. Sinclair, 1977: Tests of various numerical algorithms applied to a simpler trace constituent air transport problem. Fate of Pollutants in the Air and Water Environments, I. H. Suffet, Ed., Vol. 8. John Wiley, 223-252.
10. Matsuno, T., 1966: Numerical integrations of the primitive equations by a simulated backward difference method. J. Meteor. Soc. Japan, 44, 768-784.
11. Navarra, A., W. F. Stern, and K. Miyakoda, 1994: Reduction of Gibbs oscillation in spectral model simulations. J. Climate, 7, 1169-1183.
12. Pielke, R. A., and Coauthors, 1995: Standardized test to evaluate numerical weather prediction algorithms. Bull. Amer. Meteor. Soc., 76, 46-48.
13. Pierce, R. B., D. R. Johnson, F. M. Reames, T. H. Zapotocny, and B. J. Wolf, 1991: Numerical investigations with a hybrid isentropic-sigma model. Part I: Normal-mode characteristics. J. Atmos. Sci., 48, 2005-2024.
14. Prather, M. J., 1986: Numerical advection by conservation of second-order moments. J. Geophys. Res., 91, 6671-6681.
15. Reames, F. M., and T. H. Zapotocny, 1999: Inert trace constituent transport in sigma and hybrid isentropic-sigma models. Part II: Twelve semi-Lagrangian algorithms. Mon. Wea. Rev., 127, 188-200.
16. Rood, R. B., 1987: Numerical advection algorithms and their role in atmospheric transport and chemistry models. Rev. Geophys., 25, 71-100.
17. Temperton, C., 1976: Dynamic initialization for barotropic and multilevel models. Quart. J. Roy. Meteor. Soc., 102, 297-311.
18. Thuburn, J., 1993: Use of a flux-limited scheme for vertical advection in a GCM. Quart. J. Roy. Meteor. Soc., 119, 469-487.
19. Van Leer, B., 1974: Towards the ultimate conservative difference scheme. Part II: Monotonicity and conservation combined in a second-order scheme. J. Comput. Phys., 14, 361-370.
20. _, 1977a: Toward the ultimate conservative difference scheme. Part III: Upstream-centered finite-difference schemes for ideal incompressible flow. J. Comput. Phys., 23, 263-275.
21. _, 1977b: Toward the ultimate conservative difference scheme. Part IV: A new approach to numerical convection. J. Comput. Phys., 23, 276-299.
22. _, 1979: Toward the ultimate conservative difference scheme. Part V: A second order sequel to Godunov's method. J. Comput. Phys., 32, 101-136.
23. Zalesak, S. T., 1979: Fully multidimensional flux-corrected transport for fluids. J. Comput. Phys., 31, 335-362.
24. Zapotocny, T. H., D. R. Johnson, F. M. Reames, R. B. Pierce, and B. J. Wolf, 1991: Numerical investigations with a hybrid isentropic-sigma model. Part II: The inclusion of moist processes. J. Atmos. Sci., 48, 2025-2043.
25. _, _, and _, 1993: A comparison of regional isentropic-sigma and sigma model simulations of the January 1979 Chicago blizzard. Mon. Wea. Rev., 121, 2115-2135.
26. _, A. J. Lenzen, D. R. Johnson, T. K. Schaack, and F. M. Reames, 1997: A comparison of inert trace constituent transport between the University of Wisconsin isentropic-sigma model and the NCAR Community Climate Model. Mon. Wea. Rev., 125, 120-142.