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Splitting algorithms as applied to the Navier-Stokes equations

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Abstract

Implicit finite-difference schemes of approximate factorization and predictor-corrector schemes based on a special splitting of operators are proposed for the numerical solution of the Navier-Stokes equations governing a viscous compressible heat-conducting gas. The schemes are based on scalar tridiagonal Gaussian elimination and are unconditionally stable. The accuracy and efficiency of the algorithms are confirmed by computing two-dimensional flows of complex geometry.

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Authors and Affiliations

  1. Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva, 6, Novosibirsk, 630090, Russia

    V. M. Kovenya & A. Yu. Slyunyaev

Authors
  1. V. M. Kovenya
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  2. A. Yu. Slyunyaev
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Correspondence to V. M. Kovenya.

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Original Russian Text © V.M. Kovenya, A.Yu. Slyunyaev, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 4, pp. 700–714.

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Kovenya, V.M., Slyunyaev, A.Y. Splitting algorithms as applied to the Navier-Stokes equations. Comput. Math. and Math. Phys. 49, 676–690 (2009). https://doi.org/10.1134/S0965542509040125

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  • DOI: https://doi.org/10.1134/S0965542509040125

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