Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522046 | Journal of Computational Physics | 2011 | 20 Pages |
Abstract
A new class of high-order numerical methods for approximating nonlinear conservation laws is described (entropy viscosity method). The novelty is that a nonlinear viscosity based on the local size of an entropy production is added to the numerical discretization at hand. This new approach does not use any flux or slope limiters, applies to equations or systems supplemented with one or more entropy inequalities and does not depend on the mesh type and polynomial approximation. Various benchmark problems are solved with finite elements, spectral elements and Fourier series to illustrate the capability of the proposed method.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jean-Luc Guermond, Richard Pasquetti, Bojan Popov,