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high-order entropy stable finite difference schemes for nonlinear conservation laws: finite domainsDeveloping stable and robust high-order finite difference schemes requires mathematical formalism and appropriate methods of analysis. In this work, nonlinear entropy stability is used to derive provably stable high-order finite difference methods with formal boundary closures for conservation laws. Particular emphasis is placed on the entropy stability of the compressible Navier-Stokes equations. A newly derived entropy stable weighted essentially non-oscillatory finite difference method is used to simulate problems with shocks and a conservative, entropy stable, narrow-stencil finite difference approach is used to approximate viscous terms.
Document ID
20130011028
Document Type
Technical Memorandum (TM)
Authors
Fisher, Travis C.
(NASA Langley Research Center Hampton, VA, United States)
Carpenter, Mark H.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 27, 2013
Publication Date
February 1, 2013
Subject Category
Aerodynamics
Report/Patent Number
NF16767L-15999
NASA/TM-2013-217971
L-20223
Funding Number(s)
WBS: WBS 794072.02.07.07.03
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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