Accession Number N20130011028
Title High-Order Entropy Stable Finite Difference Schemes for Nonlinear Conservation Laws: Finite Domains.
Publication Date Feb 2013
Media Count 62p
Personal Author M. H. Carpenter T. C. Fisher
Abstract Developing 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.
Keywords Boundaries
Conservation laws
Finite difference theory
Navier-stokes equation

Source Agency National Aeronautics and Space Administration
NTIS Subject Category 51A - Aerodynamics
Corporate Author National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.
Document Type Technical report
Title Note N/A
NTIS Issue Number 1320
Contract Number N/A

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