Geodesic
Generalization of CABARET scheme for two-dimensional orthogonal computational grid
Matematičeskoe modelirovanie, Tome 25 (2013) no. 7, pp. 103-136

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CABARET scheme was generalized in two-dimensional case. The transition from one-dimensional problem to multidimensional connected with a number of new questions. The first one is spatial splitting procedure of flux variables. The another question connected with application of maximum principle for local invariant transport in different directions. Simulation test examples are given for each problem considered.
Mots-clés : CABARET
Keywords: conservative schemes. 
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     author = {V. M. Goloviznin and S. A. Karabasov and V. G. Kondakov},
     title = {Generalization of {CABARET} scheme for two-dimensional orthogonal computational grid},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--136},
     publisher = {mathdoc},
     volume = {25},
     number = {7},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_7_a7/}
}
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V. M. Goloviznin; S. A. Karabasov; V. G. Kondakov. Generalization of CABARET scheme for two-dimensional orthogonal computational grid. Matematičeskoe modelirovanie, Tome 25 (2013) no. 7, pp. 103-136. http://geodesic.mathdoc.fr/item/MM_2013_25_7_a7/