Multidimensional forward-in-time and upstream-in-space-based differencing for fluids

Monthly Weather Review

Volumn 125, Issue 4, 1997, Pages 616-630

  Drange, Helge ^a   Bleck, Rainer ^b  

^a NANSEN ENVIRONMENTAL AND REMOTE SENSING CENTER   (Norway)

^b UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007434986     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1997)125<0616:MFITAU>2.0.CO;2     Document Type: Article

References (13)

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2. Margolin, L. G., and P. K. Smolarkiewicz, 1989: Antidiffuse velocities for multipass donor cell advection. Tech. Rep. UCID - 21866, 44 pp. [Available from National Technical Information Service, U.S. Department of Commerce, 5285 Port Royal Rd., Springfield, VA 22161.]
3. O'Brien, J. J., 1986: The hyperbolic problem. Advanced Physical Oceanographic Numerical Modelling, J. J. O'Brien, Ed., D. Reidel, 165-186.
4. Smolarkiewicz, P. K., 1982: The multi-dimensional Crowley advection scheme. Mon. Wea. Rev., 110, 1968-1983.
5. _, 1983: A simple positive definite advection scheme with small implicit diffusion. Mon. Wea. Rev., 111, 479-486.
6. _, 1984: A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comput. Phys., 54, 325-362.
7. _, and T. L. Clark, 1986: The multidimensional positive definite advection transport algorithm: Further development and applications. J. Comput. Phys., 67, 396-438.
8. _, and W. W. Grabowski, 1990: The multidimensional positive definite advection transport algorithm: Nonoscillatory option. J. Comput. Phys., 86, 355-375.
9. _, and L. G. Margolin, 1993: On forward-in-time differencing for fluids: Extension to a curvilinear framework. Mon. Wea. Rev., 121, 1847-1859.
10. Staniforth, A., J. Côté, and J. Pudykiewicz, 1987: Comments on "Smolarkiewicz's deformational flow." Mon. Wea. Rev., 115, 894-902.
11. Takacs, L. L., 1985: A two-step scheme for the advection equation with minimized dissipation and dispersion errors. Mon. Wea. Rev., 113, 1050-1065.
12. Tremback, C. J., J. Powell, W. R. Cotton, and R. A. Pielke, 1987: The forward-in-time upstream advection scheme: Extension to higher orders. Mon. Wea. Rev., 115, 540-555.
13. Williamson, D. L., 1992: Review of numerical approaches for modelling global transport. Air Pollution and its Application IX, H. van Dop and G. Kallos, Eds., Plenum Press, 377-394.