Time-splitting methods for elastic models using forward time schemes

Monthly Weather Review

Volumn 130, Issue 8, 2002, Pages 2088-2097

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

^a NATIONAL SEVERE STORMS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; RUNGE KUTTA METHODS;

ADVECTION;

CLIMATOLOGY;

ADVECTION; ATMOSPHERIC MODELING; NAVIER-STOKES EQUATIONS;

EID: 0036676833     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2002)130<2088:TSMFEM>2.0.CO;2     Document Type: Article

References (20)

1. A positive definite advection scheme obtained by nonlinear renormalization of the advective fluxes
2. A correction method for use in multidimensional time-splitting advection algorithms: Application to two- and three-dimensional transport
3. Bott's area-preserving flux-form advection algorithm: Extension to higher orders and additional tests
4. Numerical advection experiments
5. A positive finite difference advection scheme
6. The simulation of three-dimensional convective storm dynamics
7. Forward-backward scheme, and its use in a limited area model
8. Quasi-monotone advection schemes based on explicit locally adaptive dissipation
9. The stability of time-split numerical methods for the hydrostatic and nonhydrostatic elastic equations
10. The multi-dimensional Crowley advection scheme
11. The multi-dimensional positive definite advection transport algorithm: Nonoscillatory option
12. Numerical solutions of a nonlinear density current: A benchmark solution and comparisons
13. A two-step scheme for the advection equation with minimized dissipation and dispersion errors
14. The forward-in-time upstream advection scheme: Extension to higher orders
15. A time-splitting scheme for the elastic equations incorporating second-order Runge-Kutta time differencing