Volume 6, Issue 1
On the Computations of Gas-Solid Mixture Two-Phase Flow

D. Zeidan & R. Touma

Adv. Appl. Math. Mech., 6 (2014), pp. 49-74.

Published online: 2014-06

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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

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

  • AMS Subject Headings

76T15 76N10 35L65 65M08

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COPYRIGHT: © Global Science Press

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@Article{AAMM-6-49, author = {D. Zeidan and R. Touma}, title = {On the Computations of Gas-Solid Mixture Two-Phase Flow}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1282}, url = {http://global-sci.org/intro/article_detail/aamm/4.html} }
TY - JOUR T1 - On the Computations of Gas-Solid Mixture Two-Phase Flow AU - D. Zeidan & R. Touma JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 49 EP - 74 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.12-m1282 UR - https://global-sci.org/intro/aamm/4.html KW - Hyperbolic conservative equations KW - two-phase flows KW - compressible gas-solid KW - mixture conservation laws KW - approximate Riemann solver KW - upwind Godunov methods KW - numerical simulation AB -

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.

D. Zeidan & R. Touma. (1970). On the Computations of Gas-Solid Mixture Two-Phase Flow. Advances in Applied Mathematics and Mechanics. 6 (1). 49-74. doi:10.4208/aamm.12-m1282
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