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Method of quasi-gasdynamic splitting for solving the Euler equations. (English. Russian original) Zbl 1028.76032

Comput. Math. Math. Phys. 41, No. 10, 1506-1518 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 10, 1583-1596 (2001).
From the author’s summary: We describe new variants of splitting method used in numerical solution of Euler equations. The expressions for split fluxes are derived by special conservative regularizers obtained by constructing quasi-gasdynamic equations and the corresponding kinetically consistent finite difference schemes. The proposed splitting can be also applied to solve equations describing viscous gas flows.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs