A time-splitting scheme for the elastic equations incorporating second-order Runge-Kutta time differencing

Monthly Weather Review

Volumn 126, Issue 7, 1998, Pages 1992-1999

  Wicker, Louis J ^a,c   Skamarock, William C ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^c 1204 Eller O and M Bldg ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000994767     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1998)126<1992:ATSSFT>2.0.CO;2     Document Type: Article

References (13)

1. 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.
2. Haltiner, G. J., and R. T. Williams, 1980: Numerical Prediction and Dynamic Meteorology. John Wiley and Sons, 447 pp.
3. Hundsdorfer, W., B. Koren, M. van Loon, and J. G. Verwer, 1995: A positive finite difference advection scheme. J. Comput. Phys., 117, 35-46.
4. Klemp, J. B., and R. B. Wilhelmson, 1978: The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci., 35, 1070-1096.
5. Marchuk, G. I., 1974: Numerical Methods in Weather Prediction. Academic Press, 227 pp.
6. Mesinger, F. M., 1977: Forward-backward scheme, and its use in a limited area model. Contrib. Atmos. Phys., 50, 200-210.
7. Pielke, R. A., 1984: Mesoscale Meteorological Modeling. Academic Press, 612 pp.
8. Press, W. H., B. F. Flannery, S. A. Teukolsky, and W. T. Vetterling, 1986: Numerical Recipes. Cambridge University Press, 818 pp.
9. Skamarock, W. C., and J. B. Klemp, 1992: The stability of time-split numerical methods for the hydrostatic and nonhydrostatic elastic equations. Mon. Wea. Rev., 120, 2109-2127.
10. _, and _, 1994: Efficiency and accuracy of the Klemp-Wilhelmson time-splitting technique. Mon. Wea. Rev., 122, 2623-2630.
11. Smolarkiewicz, P. K., 1984: A fully multidimensional positive definite advective transport algorithm with small implicit diffusion. J. Comput. Phys., 54, 325-362.
12. Trembackm 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. Wicker, L. J., and R. B. Wilhelmson, 1995: Simulation and analysis of tornado development and decay within a three-dimensional supercell thunderstorm. J. Atmos Sci., 52, 2675-2703.