Scientific Computing Group Report - Detail view

Identifier: 2011-19

Author(s): X. Zhang and C.-W. Shu

Title: A minimum entropy principle of high order schemes for gas dynamics equations

Page count: 20 pp.

Date: July 18, 2011

Abstract:

The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy [10]. First order schemes such as Godunov-type and Lax-Friedrichs schemes and the second order kinetic schemes [6] also satisfy a discrete minimum entropy principle. In this paper, we show an extension of the positivity-preserving high order schemes for the compressible Euler equations in [13, 14], to enforce the minimum entropy principle for high order finite volume and discontinuous Galerkin (DG) schemes.

BibTeX:

@techreport{brown_sc_2011_19,
  title = "{A minimum entropy principle of high order schemes for gas dynamics equations}",
  author = "X. Zhang and C.-W. Shu",
  institution = "Scientific Computing Group, Brown University",
  number = "2011-19",
  address = "Providence, RI, USA",
  year = 2011,
  month = jul,
}

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