4.2 Article

Entropy-based nonlinear viscosity for Fourier approximations of conservation laws

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 346, Issue 13-14, Pages 801-806

Publisher

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2008.05.013

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Funding

  1. National Science Foundation [DMS-0510650, DMS-0713829]

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An Entropy-based nonlinear viscosity for apporximating conservation laws using Fourier expansions is proposed. The viscosity is proportional to the entropy residual of the equation (or system) and thus preserves the spectral accuracy of the method.

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