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2016 A front-tracking shock-capturing method for two gases
Mehdi Vahab, Gregory Miller
Commun. Appl. Math. Comput. Sci. 11(1): 1-35 (2016). DOI: 10.2140/camcos.2016.11.1

Abstract

We present a new high-order front-tracking method for hyperbolic systems of conservation laws for two gases separated by a tracked contact discontinuity, using a combination of a high-order Godunov algorithm and level set methods. Our approach discretizes the moving front and gas domains on a Cartesian grid, with control volumes determined by the intersection of the grid with the front. In cut cells, a combination of conservative and nonconservative finite volume quadratures provide small-cell stability. Global conservation is maintained using redistribution. We demonstrate second-order convergence in smooth flow and first-order convergence in the presence of shocks.

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Mehdi Vahab. Gregory Miller. "A front-tracking shock-capturing method for two gases." Commun. Appl. Math. Comput. Sci. 11 (1) 1 - 35, 2016. https://doi.org/10.2140/camcos.2016.11.1

Information

Received: 26 December 2013; Revised: 22 April 2015; Accepted: 24 July 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1326.76075
MathSciNet: MR3422852
Digital Object Identifier: 10.2140/camcos.2016.11.1

Subjects:
Primary: 35L04, 65D32, 76T99

Rights: Copyright © 2016 Mathematical Sciences Publishers

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