Semi-implicit methods, nonlinear balance, and regularized equations

Atmospheric Science Letters

Volumn 8, Issue 1, 2007, Pages 1-6

  Reich, Sebastian ^a   Wood, Nigel ^b   Staniforth, Andrew ^b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b MET OFFICE   (United Kingdom)

Author keywords

Balance; Regularization; Semi implicit; Semi Lagrangian method; Shallow water equations; Staggered time stepping

Indexed keywords

LAGRANGIAN ANALYSIS; NONLINEARITY; SHALLOW-WATER EQUATION;

EID: 34347273802     PISSN: None     EISSN: 1530261X     Source Type: Journal    
DOI: 10.1002/asl.142     Document Type: Article

References (9)

1. Durran D. 1998. Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer-Verlag: Berlin Heidelberg.
2. Frank J, Reich S, Staniforth A, White A, Wood N. 2005. Analysis of a regularized, time staggered discretization and its link to the semiimplicit method. Atmospheric Science Letters 6: 97-104.
3. Haltiner G. 1971. Numerical Weather Prediction. John Wiley and Sons: New York.
4. Hundsdorfer W, Verwer J. 2003. Numerical Solution of Timedependent Advection-diffusion-reaction Equations. Springer-Verlag: Berlin.
5. Pedlosky J. 1987. Geophysical Fluid Dynamics, 2nd edn. Springer-Verlag: New York.
6. Reich S. 2006. Linearly implicit time stepping methods for numerical weather prediction. BIT 46: 607-616.
7. Staniforth A, Coté J. 1991. Semi-Lagrangian integration schemes for atmospheric models - A review. Monthly Weather Review 119: 2206-2223.
8. Staniforth A, Wood N, Reich S. 2006. A time-staggered semi-Lagrangian discretization of the rotating shallow-water equations. Quarterly Journal of the Royal Meteorological Society in press.
9. Wood N, Staniforth A, Reich S. 2006. An improved regularization for time-staggered discretization and its link to the semi-implicit method. Atmospheric Science Letters 7: 21-25.