Geodesic
Splitting methods for the numerical solution of multi-dimensional problems of gas dynamics
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 3, pp. 271-280 
V. M. Kovenya. Splitting methods for the numerical solution of multi-dimensional problems of gas dynamics. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 3, pp. 271-280. http://geodesic.mathdoc.fr/item/SJVM_2000_3_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

On the basis of the method of splitting into physical processes and spatial directions, schemes of minimum dissipation for a numerical solution of the Euler equations are proposed written in various gas dynamic variables. Their justification for a multi-dimensional case is given and their properties are investigated.

[1] Fletcher C. A. J., Computational Techniques for Fluid Dynamics, v. I, II, Springer-Verlag, Heidelberg, 1988

[2] Beam R. M., Warming R. F., “An Implicit Finite-Difference Algorithm for Hyperbolic Systems in Conservation Law Form”, J. of Comput. Phys., 22:1 (1976), 87–109 | DOI | MR

[3] Briley W. R., McDonald H., “Solution of the 3D Compressible Navier–Stokes Equations by an Implicit Technique”, Lect. Notes in Phys., 35, ed. R. D. Richtmyer, Springer-Verlag, Berlin, Heidelberg, 1975, 34–42 | MR

[4] Kovenya V. M., Yanenko N. N., Splitting Method in the Problems of Gas Dynamics, Nauka, Novosibirsk, 1981 (in Russian) | MR | Zbl

[5] Kovenya V. M., Yanenko N. N., “Splitting Method for the Numerical Solution of Problems in Gas Dynamics”, Numerical Methods in Fluid Dynamics, Mir Publishers, Moscow, 1984, 40–61 | MR

[6] Kovenya V. M., Lebedev A. S., “A Modification of the Splitting Method to Construct Economically Feasible Schemes”, J. of Comput. Mathematics and Mathemat. Phys., 34:6 (1994), 886–897 (in Russian) | MR | Zbl

[7] Abramovitch G. N., Applied Gas Dynamics, Nauka, Moscow, 1969

[8] Prikhod'ko A. A., “Comparative Computational Efficiency of Numerical Methods For Solution of Navier–Stokes Equations for Compressible Gas with the Shock Wave Problem with Boundary Layer Taken By Way of Example”, Modeling in Mechanics. — Novosibirsk, 3(20):6 (1984), 78–90