A high resolution scheme for Eulerian gas-solid two-phase isentropic flow

Hudson, Justin and Harris, David (2006) A high resolution scheme for Eulerian gas-solid two-phase isentropic flow. Journal of Computational Physics, 216 (2). pp. 494-525. ISSN 1090-2716

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Abstract

Numerical solutions of the equations governing two-phase isentropic flow of a solid granular material dispersed in a gas are investigated. Both the dispersed and continuous phases are treated as continua and an Eulerian description of the flow is adopted. We present an inviscid model with a general pressure term from which a number of variant models can be obtained. A high resolution scheme is presented to obtain numerical approximations of the equations in each of the models. We investigate whether the chosen numerical scheme is suitable for the equations governing the models and use the numerical results to obtain quantitative and qualitative insight into the predictions of each of the models. Three test cases, new to the literature, are considered, and the numerical results compared.

Item Type:	Article
Uncontrolled Keywords:	Eulerian two-phase flow; Gas–solid; High resolution scheme; Inhomogeneous conservation laws
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User:	Ms Lucy van Russelt
Date Deposited:	16 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/886

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