Entropy Viscosity Method for High-Order Approximations of Conservation Laws

J. L. Guermond, R. Pasquetti

Research output: Chapter in Book/Report/Conference proceedingChapter

21 Scopus citations


A stabilization technique for conservation laws is presented. It introduces in the governing equations a nonlinear dissipation function of the residual of the associated entropy equation and bounded from above by a first order viscous term. Different two-dimensional test cases are simulated - a 2D Burgers problem, the "KPP rotating wave" and the Euler system - using high order methods: spectral elements or Fourier expansions. Details on the tuning of the parameters controlling the entropy viscosity are given. © 2011 Springer.
Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations
PublisherSpringer Nature
Number of pages8
ISBN (Print)9783642153365
StatePublished - Sep 17 2010
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supported by the National Science Foun-dation grant DMS-0510650 and DMS-0811041 and partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST)
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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