Analysis of a class of quasi-monotone and conservative semi-Lagrangian advection schemes

Numerische Mathematik

Volumn 87, Issue 4, 2001, Pages 597-623

  Bermejo, Rodolfo ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035580467     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005425     Document Type: Article

References (13)

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3. Douglas, J., Russell, T. F. ( 1982): Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal. 19, 871-885
4. Gravel, S., Staniforth, A. (1994): A mass conserving semi-Lagrangian scheme for the shallow water equations. Mon. Wea. Rev. 122, 243-248
5. Lambert, J. D. (1991): Numerical Methods for Ordinary Differential Systems. John Wiley & Sons, Chichester, England
6. Mawson, M. H. (1995): Implementation of semi-Lagrangian advection schemes in the next generation U. K. unified model. In: Workshop Proceedings on Semi-Lagrangian Methods. (6-8 November 1995). European Centre for Medium-Range Weather Forecast. 41-57
7. Munz, C-D.(1988): On the numerical dissipation of high resolution schemes for the hyperbolic conservation laws. J. Comp. Phys. 77, 18-39
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9. Priestley, A. (1993): A quasi-conservative version of the semi-Lagrangian advection scheme. Mon. Wea. Rev. 121, 621-629
10. Staniforth, A., Côté, J. (1991): Semi-Lagrangian integration schemes for atmospheric models-A review. Mon. Wea. Rev. 119, 2206-2223
11. Temperton, C. (1995): A two-time level version of the IFS semi-Lagrangian spectral model. In: Workshop Proceedings on Semi-Lagrangian Methods. (6-8 November 1995). European Centre for Medium-Range Weather Forecast. 197-211
12. Temperton, C., Staniforth, A. (1987): An efficient two-time level semi-Lagrangian semi-implicit integration scheme. Quart. J. Roy. Meteor. Soc. 113, 1025-1039
13. Zalesak, S. T. (1979): Fully multidimensional flux-corrected transport algorithm for fluids. J. Comp. Phys. 31, 335-362