High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

被引：215

作者：

Fisher, Travis C. ^{[1
,2
]}

Carpenter, Mark H. ^{[1
]}

机构：

[1] NASA, Langley Res Ctr, Computat AeroSci Branch, Hampton, VA 23681 USA

[2] Purdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 252卷

关键词：

High-order finite difference methods; Conservation; Skew symmetric; Entropy conservation; Entropy stability; Navier-Stokes; SBP-SAT; WENO; ESSENTIALLY NONOSCILLATORY SCHEMES; NAVIER-STOKES EQUATIONS; BOUNDARY-CONDITIONS; PARTS OPERATORS; SYSTEMS; APPROXIMATIONS; ENERGY; METHODOLOGY; FORMULATION; STABILITY;

D O I：

10.1016/j.jcp.2013.06.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：518 / 557

页数：40

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