A comparison of spatially averaged eulerian and semi-Lagrangian treatments of mountains

Monthly Weather Review

Volumn 124, Issue 1, 1996, Pages 167-181

  Ritchie, Harold ^a   Tanguay, Monique ^a  

^a ENVIRONMENT CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000081860     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1996)124<0167:ACOSAE>2.0.CO;2     Document Type: Review

References (23)

1. Bates, J. R., S. Moorthi, and R. W. Higgins, 1993: A global multilevel atmospheric model using a vector semi-Lagrangian finite-difference scheme. Part I: Adiabatic formulation. Mon. Wea. Rev., 121, 244-263.
2. Bergeron, G., R. Laprise, and D. Caya, 1994: Formulation of the mesoscale compressible community (MC2) model. Technical document, 165 pp. [Available from Recherche en prévision numérique, Dorval, Québec, Canada, H9P 1J3].
3. Coiffier, J., P. Chapelet, and N. Marie, 1987: Study of various quasi-Lagrangian techniques for numerical models. Proc. of ECMWF Workshop on Techniques for Horizontal Discretization in Numerical Weather Prediction Models, European Centre for Medium-Range Weather Forecasts, Shinfield Park, Reading, United Kingdom, 19-46.
4. Côté, J., S. Gravel, and A. Staniforth, 1995: A generalized family of schemes that eliminate the spurious resonant response of semi-Lagrangian schemes to orographic forcing. Mon. Wea. Rev., 123, 3605-3613.
5. Gravel, S., A. Staniforth, and J. Côté, 1993: A stability analysis of a family of baroclinic semi-Lagrangian forecast models. Mon. Wea. Rev., 121, 815-824.
6. Héreil, P., and R. Laprise, 1995: Sensitivity of internal gravity wave solutions to the time step of a semi-implicit semi-Lagrangian nonhydrostatic model. Mon. Wea. Rev., in press
7. Kaas, E., 1987: The construction of and tests with a multi-level, semi-Lagrangian and semi-implicit limited area model. Diploma thesis. Geophysics Institute, Copenhagen University, 117 pp.
8. McDonald, A., and J. E. Haugen, 1992: A two time-level, three-dimensional semi-Lagrangian, semi-implicit, limited-area grid-point model of the primitive equations. Mon. Wea. Rev., 120, 2603-2621.
9. Phillips, N. A., 1957: A coordinate system having some special advantages for numerical forecasting. J. Meteor., 14, 184-185.
10. Purser, R. J., and L. M. Leslie, 1994: An efficient semi-Lagrangian scheme using third-order semi-implicit time integration and forward trajectories. Mon. Wea. Rev., 122, 745-756.
11. Ritchie, H., 1988: Application of the semi-Lagrangian method to a spectral model of the shallow water equations. Mon. Wea. Rev., 116, 1587-1598.
12. _, 1991: Application of the semi-Lagrangian method to a multi-level spectral primitive-equations model. Quart. J. Roy. Meteor. Soc., 117, 91-106.
13. _, and C. Beaudoin, 1994: Approximations and sensitivity experiments with a baroclinic semi-Lagrangian spectral model. Mon. Wea. Rev., 122, 2391-2399.
14. _, and M. Tanguay, 1994: Using divergence damping to eliminate the spurious semi-Lagrangian resonance. Preprint Volume: 10th Conf. on Numerical Weather Prediction, Portland, OR, Amer. Meteor. Soc., 410-411.
15. _, C. Temperton, A. Simmons, M. Hortal, T. Davies, D. Dent, and M. Hamrud, 1995: Implementation of the semi-Lagrangian method in a high-resolution version of the ECMWF forecast model. Mon. Wea. Rev., 123, 489-514.
16. Rivest, C., and A. Staniforth, 1995: Modifying the conventional three-time-level semi-implicit semi-Lagrangian scheme to eliminate orographically-induced spurious resonance. Atmos.-Ocean, 33, 109-119.
17. _, _, and A. Robert, 1994: Spurious resonant response of semi-Lagrangian discretizations to orographic forcing: Diagnosis and solution. Mon. Wea. Rev., 122, 366-376.
18. Robert, A., T. L. Yee, and H. Ritchie, 1985: A semi-Lagrangian and semi-implicit numerical integration scheme for multilevel atmospheric models. Mon. Wea. Rev., 113, 388-394.
19. Sadourny, R., 1975: The dynamics of finite difference models of the shallow water equations. J. Atmos. Sci., 32, 680-689.
20. Talagrand, O., 1972: On the damping of high-frequency motions in four-dimensional assimilation of meteorological data. J. Atmos. Sci., 29, 1571-1574.
21. Tanguay, M., A. Simard, and A. Staniforth, 1989: A three-dimensional semi-Lagrangian scheme for the Canadian regional finite-element forecast model. Mon. Wea. Rev., 117, 1861-1871.
22. _, E. Yakimiw, H. Ritchie, and A. Robert, 1992: Advantages of spatial averaging in semi-Lagrangian schemes. Mon. Wea. Rev., 120, 113-123.
23. Williamson, D. L., and J. G. Olson, 1994: Climate simulations with a semi-Lagrangian version of the NCAR CCM2. Mon. Wea. Rev., 122, 1594-1610.