Geodesic
Modification of the “cross” type scheme to eliminate a “chessboard” error
Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 59-70

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The paper shows that the “cross” – type difference schemes used to approximate the gas dynamic equations have an error caused by the “chessboard” distribution of thermodynamic quantities. A 2D scheme modification is proposed to eliminate such error. Results of test computations demonstrating the new scheme advantages are given.
Keywords: numerical simulation, the “cross” difference scheme, a “chessboard” error, two-dimensional gas dynamics, the EGAK code. 
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     author = {Yu. V. Yanilkin and O. O. Toporova and A. M. Erofeev},
     title = {Modification of the {\textquotedblleft}cross{\textquotedblright} type scheme to eliminate a {\textquotedblleft}chessboard{\textquotedblright} error},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     publisher = {mathdoc},
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     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2024_36_1_a4/}
}
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Yu. V. Yanilkin; O. O. Toporova; A. M. Erofeev. Modification of the “cross” type scheme to eliminate a “chessboard” error. Matematičeskoe modelirovanie, Tome 36 (2024) no. 1, pp. 59-70. http://geodesic.mathdoc.fr/item/MM_2024_36_1_a4/