期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 252, 期 -, 页码 518-557出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.06.014
关键词
High-order finite difference methods; Conservation; Skew symmetric; Entropy conservation; Entropy stability; Navier-Stokes; SBP-SAT; WENO
Nonlinear entropy stability is used to derive provably stable high-order finite difference operators including boundary closure stencils, for the compressible Navier-Stokes equations. A comparison technique is used to derive a new Entropy Stable Weighted Essentially Non-Oscillatory (SSWENO) finite difference method, appropriate for simulations of problems with shocks. Viscous terms are approximated using conservative, entropy stable, narrow-stencil finite difference operators. The efficacy of the new discrete operators is demonstrated using both smooth and discontinuous test cases. Published by Elsevier Inc.
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