期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 36, 期 5, 页码 B835-B867出版社
SIAM PUBLICATIONS
DOI: 10.1137/130932193
关键词
high-order finite-element methods; conservation; skew-symmetric; entropy stability; Navier-Stokes; SBP-SAT
资金
- U.S. Government
- Revolutionary Computational Aerosciences project
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Nonlinear entropy stability and a summation-by-parts framework are used to derive provably stable, polynomial-based spectral collocation element methods of arbitrary order for the compressible Navier-Stokes equations. The new methods are similar to strong form, nodal discontinuous Galerkin spectral elements but conserve entropy for the Euler equations and are entropy stable for the Navier-Stokes equations. Shock capturing follows immediately by combining them with a dissipative companion operator via a comparison approach. Smooth and discontinuous test cases are presented that demonstrate their efficacy.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据