Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 339, Issue -, Pages 370-395Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.03.024
Keywords
Ten-Moment equations; Hyperbolic conservation laws; Balance laws; Discontinuous Galerkin schemes; Positivity preserving schemes
Funding
- SERB, DST [YSS/2015/001663]
- Airbus Foundation Chair on Mathematics of Complex Systems
Ask authors/readers for more resources
Euler equations for compressible flows treats pressure as a scalar quantity. However, for several applications this description of pressure is not suitable. Many extended model based on the higher moments of Boltzmann equations are considered to overcome this issue. One such model is Ten-Moment Gaussian closure equations, which treats pressure as symmetric tensor. In this work, we develop a higher-order, positivity preserving Discontinuous Galerkin (DG) scheme for Ten-Moment Gaussian closure equations. The key challenge is to preserve positivity of density and symmetric pressure tensor. This is achieved by constructing a positivity limiter. In addition to preserve positivity, the scheme also ensures the accuracy of the approximation for smooth solutions. The theoretical results are then verified using several numerical experiments. (C) 2017 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available