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Convergence of a numerical method for the compressible Navier–Stokes system on general domains

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Abstract

We propose a mixed numerical method for solving the compressible Navier–Stokes system and study its convergence and stability with respect to the physical domain. The numerical solutions are shown to converge, up to a subsequence, to a weak solution of the problem posed on the limit domain.

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Authors and Affiliations

  1. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl & Martin Michálek

  2. Department of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, 7049, Trondheim, Norway

    Trygve Karper

Authors
  1. Eduard Feireisl
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  2. Trygve Karper
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  3. Martin Michálek
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Corresponding author

Correspondence to Eduard Feireisl.

Additional information

E. F. and M. M. acknowledges the support of the GAČR (Czech Science Foundation) project 13-00522S in the framework of RVO: 67985840.

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Feireisl, E., Karper, T. & Michálek, M. Convergence of a numerical method for the compressible Navier–Stokes system on general domains. Numer. Math. 134, 667–704 (2016). https://doi.org/10.1007/s00211-015-0786-6

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  • DOI: https://doi.org/10.1007/s00211-015-0786-6

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