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P. Chandrashekar, C. Klingenberg (2015)
A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with GravityArXiv, abs/1803.04346
A. Sangam (2008)
An HLLC scheme for Ten-Moments approximation coupled with magnetic fieldInt. J. Comput. Sci. Math., 2
D. Ghosh, E. Constantinescu (2015)
Well-Balanced Formulation of Gravitational Source Terms for Conservative Finite-Difference Atmospheric Flow Solvers
B. Perthame, C. Simeoni (2001)
A kinetic scheme for the Saint-Venant system¶with a source termCALCOLO, 38
C. Levermore (1996)
Moment closure hierarchies for kinetic theoriesJournal of Statistical Physics, 83
A. Hakim (2008)
Extended MHD Modelling with the Ten-Moment EquationsJournal of Fusion Energy, 27
D. Levermore, William Morokoo, Typeset By, A. S-T (1998)
The Gaussian Moment Closure for Gas DynamicsSIAM J. Appl. Math., 59
E. Johnson (2014)
Gaussian-Moment Relaxation Closures for Verifiable Numerical Simulation of Fast Magnetic Reconnection in PlasmaarXiv: Numerical Analysis
K. Xu, Jun-Hua Luo, Songze Chen (2010)
A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational FieldAdvances in Applied Mathematics and Mechanics, 2
C. Berthon, B. Dubroca, A. Sangam (2015)
An entropy preserving relaxation scheme for ten-moments equations with source termsCommunications in Mathematical Sciences, 13
A. Meena, H. Kumar, P. Chandrashekar (2017)
Positivity-preserving high-order discontinuous Galerkin schemes for Ten-Moment Gaussian closure equationsJ. Comput. Phys., 339
P. Chandrashekar, Markus Zenk (2015)
Well-Balanced Nodal Discontinuous Galerkin Method for Euler Equations with GravityJournal of Scientific Computing, 71
A. Meena, H. Kumar (2017)
Robust MUSCL Schemes for Ten-Moment Gaussian Closure Equations with Source Terms
Chhanda Sen, H. Kumar (2018)
Entropy Stable Schemes For Ten-Moment Gaussian Closure EquationsJournal of Scientific Computing, 75
Y. Xing, Chi-Wang Shu (2012)
High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational FieldsJournal of Scientific Computing, 54
R. Käppeli, S. Mishra (2014)
Well-balanced schemes for the Euler equations with gravitationJ. Comput. Phys., 259
C. Berthon (2006)
Numerical approximations of the 10-moment Gaussian closureMath. Comput., 75
In this article, we consider the Ten-Moment equations with source term, which occurs in many applications related to plasma flows. We present a well-balanced second-order finite volume scheme. The scheme is well-balanced for general equation of state, provided we can write the hydrostatic solution as a function of the space variables. This is achieved by combining hydrostatic reconstruction with contact preserving, consistent numerical flux, and appropriate source discretization. Several numerical experiments are presented to demonstrate the well-balanced property and resulting accuracy of the proposed scheme.
Zeitschrift für angewandte Mathematik und Physik – Springer Journals
Published: Dec 14, 2017
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