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High-Order Entropy Stable Finite Difference Schemes for Nonlinear Conservation Laws: Finite Domains
| AUTHOR | Administration (Nasa), National Aeronaut |
| PUBLISHER | Independently Published (08/11/2020) |
| PRODUCT TYPE | Paperback (Paperback) |
Description
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. Fisher, Travis C. and Carpenter, Mark H. Langley Research Center NASA/TM-2013-217971, L-20223, NF16767L-15999 FINITE DIFFERENCE THEORY; NAVIER-STOKES EQUATION; ENTROPY; STABILITY; NONLINEARITY; BOUNDARIES; CLOSURES; CONSERVATION LAWS; FORMALISM; DOMAINS
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Product Details
ISBN-13:
9798674400547
Binding:
Paperback or Softback (Trade Paperback (Us))
Content Language:
English
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Page Count:
64
Carton Quantity:
64
Product Dimensions:
8.50 x 0.13 x 11.02 inches
Weight:
0.38 pound(s)
Country of Origin:
US
Subject Information
BISAC Categories
Reference | Research
Reference | Space Science - General
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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. Fisher, Travis C. and Carpenter, Mark H. Langley Research Center NASA/TM-2013-217971, L-20223, NF16767L-15999 FINITE DIFFERENCE THEORY; NAVIER-STOKES EQUATION; ENTROPY; STABILITY; NONLINEARITY; BOUNDARIES; CLOSURES; CONSERVATION LAWS; FORMALISM; DOMAINS
Show More