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Volume 4, Issue 4
Entropy Stable Schemes for Compressible Euler Equations

DEEP RAY AND PRAVEEN CHANDRASHEKAR

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 335-352

Published online: 2013-04

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  • Abstract
A novel numerical flux for the Euler equations which is consistent for kinetic energy and entropy condition was proposed recently [1]. This flux makes use of entropy variable based matrix dissipation which can be shown to satisfy an entropy inequality. For hypersonic flows a blended scheme is proposed which gives carbuncle free solutions for blunt body flows while still giving accurate resolution of boundary layers. Several numerical results on standard test cases using high order accurate reconstruction schemes are presented to show the performance of the new schemes.
  • Keywords

Euler equation finite volume method kinetic energy preservation entropy stability

  • AMS Subject Headings

35Q31

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-335, author = {DEEP RAY AND PRAVEEN CHANDRASHEKAR}, title = { Entropy Stable Schemes for Compressible Euler Equations}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {4}, pages = {335--352}, abstract = {A novel numerical flux for the Euler equations which is consistent for kinetic energy and entropy condition was proposed recently [1]. This flux makes use of entropy variable based matrix dissipation which can be shown to satisfy an entropy inequality. For hypersonic flows a blended scheme is proposed which gives carbuncle free solutions for blunt body flows while still giving accurate resolution of boundary layers. Several numerical results on standard test cases using high order accurate reconstruction schemes are presented to show the performance of the new schemes.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/261.html} }
TY - JOUR T1 - Entropy Stable Schemes for Compressible Euler Equations AU - DEEP RAY AND PRAVEEN CHANDRASHEKAR JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 335 EP - 352 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/261.html KW - Euler equation KW - finite volume method KW - kinetic energy preservation KW - entropy stability AB - A novel numerical flux for the Euler equations which is consistent for kinetic energy and entropy condition was proposed recently [1]. This flux makes use of entropy variable based matrix dissipation which can be shown to satisfy an entropy inequality. For hypersonic flows a blended scheme is proposed which gives carbuncle free solutions for blunt body flows while still giving accurate resolution of boundary layers. Several numerical results on standard test cases using high order accurate reconstruction schemes are presented to show the performance of the new schemes.
DEEP RAY AND PRAVEEN CHANDRASHEKAR. (1970). Entropy Stable Schemes for Compressible Euler Equations. International Journal of Numerical Analysis Modeling Series B. 4 (4). 335-352. doi:
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