Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6933572 | Journal of Computational Physics | 2013 | 40 Pages |
Abstract
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Travis C. Fisher, Mark H. Carpenter,