Linearly implicit time stepping methods for numerical weather prediction

BIT Numerical Mathematics

Volumn 46, Issue 3, 2006, Pages 607-616

  Reich, Sebastian ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Linearly implicit time stepping methods; Numerical weather prediction; Semi Lagrangian method; Shallow water equations; St rmer Verlet method

Indexed keywords

EID: 33749003986     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0065-0     Document Type: Article

References (9)

1. D. R. Durran, Numerical Methods for Wave Equations in Geophysical Fluid Dynamics, Springer, Berlin, Heidelberg, 1998.
2. J. Frank, G. Gottwald, and S. Reich, The Hamiltonian particle-mesh method, in Meshfree Methods for Partial Differential Equations, M. Griebel and M. A. Schweitzer, eds., Lecture Notes in Computational Science and Engineering, vol. 26, pp. 131-142, Springer, Berlin, Heidelberg, 2002.
3. J. Frank, S. Reich, A. Staniforth, A. White, and N. Wood, Analysis of a regularized, time staggered discretization and its link to the semi-implicit method, Atm. Sci. Lett., 6 (2005), pp. 97-104.
4. B. Leimkuhler and S. Reich, Simulating Hamiltonian Dynamics, Cambridge University Press, Cambridge, 2005.
5. A. Robert, A semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorological equations, J. Meteorol. Soc. Jpn., 60 (1982), pp. 319-325.
6. R. Salmon, Lectures on Geophysical Fluid Dynamics, Oxford University Press, Oxford, 1999.
7. A. Staniforth and J. Coté, Semi-Lagrangian integration schemes for atmospheric models -A review, Mon. Weather Rev., 119 (1991), pp. 2206-2223.
8. A. Staniforth, N. Wood, and S. Reich, A time-staggered semi-Lagrangian discretization of the rotating shallow-water equations, Q. J. R. Meteorol. Soc., in press, 2006.
9. N. Wood, A. Staniforth, and S. Reich, An improved regularization for time-staggered discretization and its link to the semi-implicit method, Atm. Sci. Lett., 7 (2006), pp. 21-25.