On simulating flows with multiple time scales using a method of averages

Theoretical and Computational Fluid Dynamics

Volumn 9, Issue 3-4, 1997, Pages 281-292

  Nadiga, B T ^a   Hecht, M W ^a   Margolin, L G ^a   Smolarkiewicz, P K ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031321824     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050045     Document Type: Article

References (17)

1. R. Bleck and L.T. Smith (1990): A wind-driven isopycnic coordinate model of the North and equatorial Atlantic. J. Geophys. Res., 95, 3273-3285.
2. G. Browning and H.-O. Kreiss (1987): Reduced systems for the shallow water equations. J. Atmos. Sci., 44, 2813-2822.
3. G. Browning and H.-O. Kreiss (1994): Splitting methods for problems with different timescales. Monthly Weather Rev., 122, 2614-2622.
4. K. Bryan (1969): A numerical method for the study of the circulation of the world ocean. J. Comput. Phys., 4, 347-376.
5. J.K. Dukowicz, R.D. Smith, and R.C. Malone (1993): A reformulation and implementation of the Bryan-Cox-Semtner ocean model on the connection machine. J. Atmos. Ocean Technol., 10, 195-208.
6. R.L. Higdon and A.F. Bennett (1996): Stability analysis of operator splitting for large-scale ocean modeling. J. Comput. Phys., 123, 311-329.
7. J.B. Klemp and R. Wilhelmson (1978): The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci., 35, 1070-1096.
8. R.J. LeVeque and J. Oliger (1983): Numerical methods based on additive splittings for hyperbolic partial differential equations. Math. Comp., 40, 469-497.
9. R. V. Madala (1981): Efficient time integration schemes for atmosphere and ocean models. In Finite-Difference Techniques for Vectorized Fluid Calculations, D. Book. ed. Springer-Verlag, New York, pp. 56-74.
10. G.I. Marchuk (1974): Numerical Methods in Weather Prediction. Academic Press, New York, (Russian edn., 1967).
11. F. Mesinger, Z.I. Janjić, S. Ničković, D. Gavrilov, and D.G. Deaven (1988): The step-mountain coordinate: model description and performance for cases of Alpine lee cyclogenesis and for a case of Appalachian redevelopment. Tellus, 25, 444-458.
12. R.F. Milliff and J.C. McWilliams (1994): The evolution of boundary pressure in ocean basins. J. Phys. Ocean., 24, 1317-1338.
13. W.C. Skamarock and J.B. Klemp (1992): The stability of time-split numerical methods for the hydrostatic and nonhydrostatic elastic equations. Monthly Weather Rev., 120, 2109-2127.
14. W.C. Skamarock and J.B. Klemp (1994): Efficiency and accuracy and the Klemp-Wilhelmson time-splitting technique. Monthly Weather Rev., 122, 2623-2630.
15. P.K. Smolarkiewicz and W.W. Grabowski (1990): The multidimensional positive definite advection transport algorithm: nonoscillatory option. J. Comput. Phys., 86, 355-375.
16. P.K. Smolarkiewicz and L.G. Margolin (1993): On forward-in-time differencing for fluids: extension to a curvilinear framework. Monthly Weather Rev., 121, 1847-1859.
17. G. Strang (1968): On the construction and comparison of difference schemes. SIAM J. Numer. Anal., 5, 516-517.