Entropy Viscosity Method for High-Order Approximations of Conservation Laws
KAUST Grant NumberKUS-C1-016-04
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AbstractA 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.
CitationGuermond JL, Pasquetti R (2010) Entropy Viscosity Method for High-Order Approximations of Conservation Laws. Spectral and High Order Methods for Partial Differential Equations: 411–418. Available: http://dx.doi.org/10.1007/978-3-642-15337-2_39.
SponsorsThis 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)
PublisherSpringer Science + Business Media