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

On the Computations of Gas-Solid Mixture Two-Phase Flow
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Year:    2014

Author:    D. Zeidan, R. Touma

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 1 : pp. 49–74

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-m1282

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 1 : pp. 49–74

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Hyperbolic conservative equations two-phase flows compressible gas-solid mixture conservation laws approximate Riemann solver upwind Godunov methods numerical simulation.

Author Details

D. Zeidan

R. Touma

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