A skew-symmetric energy and entropy stable formulation of the compressible Euler equations

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5 Citations (Scopus)

Abstract

We show that a specific skew-symmetric form of nonlinear hyperbolic problems leads to energy and entropy bounds. Next, we exemplify by considering the compressible Euler equations in primitive variables, transform them to skew-symmetric form and show how to obtain energy and entropy estimates. Finally we show that the skew-symmetric formulation lead to energy and entropy stable discrete approximations if the scheme is formulated on summation-by-parts form.

Original languageEnglish
Article number111573
JournalJournal of Computational Physics
Volume470
DOIs
Publication statusPublished - 1 Dec 2022

Keywords

  • Compressible Euler equations
  • Energy stability
  • Entropy stability
  • Nonlinear hyperbolic problems
  • Skew-symmetric form
  • Summation-by-parts

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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