期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 230, 期 11, 页码 4248-4267出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.11.043
关键词
Entropy viscosity; Conservation laws; Euler equations; Finite elements; Spectral elements; Fourier method; Godunov schemes; Central schemes
资金
- National Science Foundation [DMS-0713929, DMS-0811041]
- King Abdullah University of Science and Technology (KAUST) [KUS-C1-016-04]
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. (C) 2010 Elsevier Inc. All rights reserved.
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