☆ 4.5 Article

A well-balanced scheme for Ten-Moment Gaussian closure equations with source term

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2018)

Journal

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Volume 69, Issue 1, Pages -

Publisher

SPRINGER BASEL AG

DOI: 10.1007/s00033-017-0901-x

Keywords

Finite volume methods; Well-balanced scheme; Ten-Moment Gaussian closure equations

Categories

Mathematics, Applied

Funding

SERB, DST [YSS/2015/001663]

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Abstract

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.

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