A Splitting Method for a CABARET Scheme Approximating a Nonuniform Scalar Conservation Law

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Abstract

In this paper, a splitting method for a CABARET scheme approximating a nonuniform scalar conservation law with a convex and monotonically increasing flux function is proposed. It is shown that at the first step of this method, when a uniform conservation law is approximated, the CABARET scheme is monotone and its numerical solutions do not have nonphysical oscillations in shock wavefronts. Test computations illustrating these properties of the modified CABARET scheme are presented.

Original languageEnglish
Pages (from-to)146-157
Number of pages12
JournalNumerical Analysis and Applications
Volume11
Issue number2
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • monotone CABARET scheme
  • nonuniform scalar conservation law
  • splitting method

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