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A completely conservative difference scheme of gas dynamics in orthogonal curvilinear coordinates

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Abstract

A completely conservative difference scheme in Eulerian curvilinear orthogonal coordinates is proposed for calculating discontinuous gas-dynamic flows on sufficiently coarse grids. The stability of the linear approximation of the proposed scheme is analyzed. Courant's condition provides a stability condition for this scheme.

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Literature cited

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Authors and Affiliations

  1. Kiev University, USSR

    A. V. Kuz'min

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  1. A. V. Kuz'min
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 9–15, 1986.

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Kuz'min, A.V. A completely conservative difference scheme of gas dynamics in orthogonal curvilinear coordinates. J Math Sci 58, 396–400 (1992). https://doi.org/10.1007/BF01100062

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  • DOI: https://doi.org/10.1007/BF01100062

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