Journal of Scientific Computing

, Volume 75, Issue 2, pp 1128–1155 | Cite as

Entropy Stable Schemes For Ten-Moment Gaussian Closure Equations

Article

Abstract

In this article, we propose high order, semi-discrete, entropy stable, finite difference schemes for Ten-Moment Gaussian Closure equations. The crucial components of these schemes are an entropy conservative flux and suitable high order entropy dissipative operators to ensure entropy stability. We design two numerical fluxes, one is approximately entropy conservative, and another is entropy conservative flux. For the construction of appropriate entropy dissipative operators, we also derive entropy scaled right eigenvectors. This is used for sign preserving reconstruction of scaled entropy variables, which results in second and third order entropy stable schemes. We also extend these schemes to a plasma flow model with source term. Several numerical results are presented for homogeneous and non-homogeneous cases to demonstrate stability and performance of these schemes.

Keywords

Ten-Moment Gaussian closure equations Symmetrization Entropy stability Finite difference scheme 

Mathematics Subject Classification

65M08 65M12 

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Department of MathematicsIIT DelhiHauz KhasIndia

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