A study of the behaviour of semi-Lagrangian models in the presence of orography

Quarterly Journal of the Royal Meteorological Society

Volumn 122, Issue 535, 1996, Pages 1675-1700

  Li, Yong ^a,b   Bates, J R ^a  

^a NASA Goddard Lab for Atmospheres   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

Numerical modelling; Orography; Semi Lagrangian models

Indexed keywords

MODELLING; SHALLOW WATER EQUATIONS; VORTICITY;

AIR FLOW; LAGRANGIAN MODEL; OROGRAPHY; POTENTIAL VORTICITY;

EID: 0030418684     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/smsqj.53509     Document Type: Article

References (26)

1. Bates, J. R. 1991 Comments on 'Noninterpolating semi-Lagrangian advection schemes with minimized dissipation and dispersion errors', Mon. Weather Rev., 119, 230
2. Bates, J. R. and McDonald, A. 1982 Multiply-upstream, semi-Lagrangian advective schemes: Analysis and application to a multilevel primitive equation model. Mon. Weather Rev., 110, 1831-1842
3. Bates, J. R., Semazzi, F. H. M., Higgins, R. W. and Barros. S. R. M. 1990 Integration of the shallow-water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver. Mon. Weather Rev., 118, 1615-1627
4. Bates, J. R., Moorthi, S. and Higgins, R. W. 1993 A global multilevel atmospheric model using a vector semiLagrangian finite-difference scheme. Part I: Adiabatic formulation. Mon. Weather Rev., 121, 244-263
5. Bates, J. R., Li, Y, Brandt, A., McCormick, S. F. and Ruge, J. 1995 A global numerical shallow-water model based on the semiLagrangian advection of potential vorticity. Q. J. R. Meteorol. Soc., 121, 1981-2005
6. Coiffier, J., Chapelet, P. and Marie, N. 1987 'Study of various quasi-Lagrangian techniques for numerical models'. In Proceedings of ECMWF workshop on techniques for horizontal discretization in numerical weather prediction models, ECMWF, Shinfield Park, Reading, UK
7. Côté, J. and Staniforth, A. 1988 A two-time-level semi-Lagrangian and semi-implicit scheme for spectral models. Mon. Weather Rev., 116, 2003-2012
8. Côté, J., Roch, M., Staniforth, A. and Fillion, L. 1993 A variable-resolution semi-Lagrangian finite-element global model of the shallow water equations. Mon. Weather Rev., 121, 231-243
9. Côté, J., Gravel, S. and Staniforth, A. 1995 A generalized family of schemes that eliminate the spurious resonant response of semi-Lagrangian schemes to orographic forcing. Mon. Weather Rev., 123, 3605-3613
10. Mortal, M. and Simmons, A. J. 1991 Use of reduced Gaussian grids in spectral models. Mon. Weather Rev., 119, 1057-1074
11. Kaas, E. 1987 'The construction of and tests with a multilevel, semi-Lagrangian and semi-implicit limited area model'. Diploma thesis, Copenhagen University, Denmark
12. Kasahara, A. 1976 Normal modes of ultralong waves in the atmosphere. Mon. Weather Rev., 104, 669-690
13. Lynch, P. and Huang, X.-Y. 1992 Initialization of the HIRLAM model using a digital filter. Mon. Weather Rev., 120, 1019-1034
14. Moorthi, S. and Higgins, R. W. 1993 Application of fast Fourier transforms to the direct solution of a class of two-dimensional separable elliptic equations on the sphere. Mon. Weather Rev., 121, 290-296
15. Moorthi, S., Higgins, R. W. and Bates, J. R. 1995 A global multilevel atmospheric model using a vector semiLagrangian finite-difference scheme. Part 2: Version with physics. Mon. Weather Rev., 123, 1523-1541
16. Ritchie, H. 1991 Application of the semi-Lagrangian method to a multilevel spectral primitive-equations model. Q. J. R. Meteorol. Soc., 117, 91-106
17. Ritchie, H. and Beaudoin, C. 1994 Approximations and sensitivity experiments with a baroclinic semi-Lagrangian spectral model. Mon. Weather Rev., 122, 2391-2399
18. Ritchie, H., Temperton, C., Simmons, A., Mortal, M., Davies, T., Dent, D. and Hamrud, M. 1995 Implementation of the semi-Lagrangian method in a high resolution version of the ECMWF forecast model. Mon. Weather Rev., 123, 489-514
19. Rivest, C., Staniforth, A. and Robert, A. 1994 Spurious resonant response of semi-Lagrangian discretizations to orographic forcing: diagnosis and solution. Mon. Weather Rev., 122, 366-376
20. Robert, A. 1981 A stable numerical integration scheme for the primitive meteorological equations. Atmos. - Ocean, 19, 35-46 1982 A semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorological equations. J. Meteorol. Soc. Japan, 60, 319-325
21. Robert, A. 1981 A stable numerical integration scheme for the primitive meteorological equations. Atmos. - Ocean, 19, 35-46 1982 A semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorological equations. J. Meteorol. Soc. Japan, 60, 319-325
22. Ruge, J., Li, Y., McCormick, S. F., Brandt, A. and Bates, J. R. 1996 A nonlinear multigrid solver for a global numerical shallow water model based on the semi-Lagrangian advection of potential vorticity. SIAM J. Sci. Comput., in press
23. Semazzi, F. H. M. and Dekker, P. 1994 Optimal accuracy in semi-Lagrangian models. Mon. Weather Rev., 122, 2139-2159
24. Staniforth, A. and Côté, J. 1991 Semi-Lagrangian integration schemes for atmospheric models - A review. Mon. Weather Rev., 119, 2206-2223
25. Tanguay, M., Yakimiw, E., Ritchie, H. and Robert, A. 1992 Advantages of spatial averaging in semi-implicit semi-Lagrangian schemes. Mon. Weather Rev., 120, 113-130
26. Williamson, D. L. and Olson, J. G. 1994 Climate simulations with a semi-Lagrangian version of the NCAR Community Climate Model. Mon. Weather Rev., 122, 1594-1610