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On the Computations of Gas-Solid Mixture Two-Phase Flow

Published online by Cambridge University Press:  03 June 2015

D. Zeidan  and
R. Touma
D. Zeidan*
Affiliation:
Department of Mathematics, Al-Balqa Applied University, Al-Salt, Jordan
R. Touma
Affiliation:
Department of Computer Science &Mathematics, Lebanese American University, Beirut, Lebanon
*
*Corresponding author. Email: dia@bau.edu.jodiazeidan@yahoo.com
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Abstract

This paper presents high-resolution computations of a two-phase gas-solid mixture using a well-defined mathematical model. The HLL Riemann solver is applied to solve the Riemann problem for the model equations. This solution is then employed in the construction of upwind Godunov methods to solve the general initial-boundary value problem for the two-phase gas-solid mixture. Several representative test cases have been carried out and numerical solutions are provided in comparison with existing numerical results. To demonstrate the robustness, effectiveness and capability of these methods, the model results are compared with reference solutions. In addition to that, these results are compared with the results of other simulations carried out for the same set of test cases using other numerical methods available in the literature. The diverse comparisons demonstrate that both the model equations and the numerical methods are clear in mathematical and physical concepts for two-phase fluid flow problems.

Keywords

76T1576N1035L6565M08Hyperbolic conservative equationstwo-phase flowscompressible gas-solidmixture conservation lawsapproximate Riemann solverupwind Godunov methodsnumerical simulation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 1 , February 2014 , pp. 49 - 74
Copyright
Copyright © Global-Science Press 2014

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