Monotonicity of the CABARET Scheme Approximating a Hyperbolic System of Conservation Laws

O. A. Kovyrkina, V. V. Ostapenko

Research output: Contribution to journalArticlepeer-review

Abstract

Abstract: The monotonicity of the CABARET scheme for approximating a quasilinear hyperbolic system of conservation laws is investigated. The conditions are obtained under which this scheme is monotonicity-preserving with respect to the invariants of the linear approximation of the approximated system. The system of shallow water equations is considered as an example. The capabilities of the scheme in the computation of discontinuous solutions with shock waves are illustrated by test calculations of Riemann problems.

Original languageEnglish
Pages (from-to)1435-1450
Number of pages16
JournalComputational Mathematics and Mathematical Physics
Volume58
Issue number9
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • discontinuous waves
  • hyperbolic system of conservation laws
  • monotonicity of CABARET scheme
  • shallow water theory
  • CHANGING CHARACTERISTIC FIELD
  • SHOCKS

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