AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW

Liang Shan; Liu Wei; Yuan Li

doi:10.6052/0459-1879-12-022

Volume 44 Issue 5

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Chinese Journal of Theoretical and Applied Mechanics > 2012 > 44(5): 884-895. > DOI: 10.6052/0459-1879-12-022 CSTR: 32045.14.0459-1879-12-022

Liang Shan, Liu Wei, Yuan Li. AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 884-895. DOI: 10.6052/0459-1879-12-022

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AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW

LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Funds: The project was supported by the National Natural Science Foundation of China (10972230,11021101) and National Basic Research Program of China (2009CB731505).

Received Date: January 11, 2012
Revised Date: March 05, 2012

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Abstract

Abstract

In this paper,the numerical method for the two-pressure and two-velocity seven-equation model presented by Saurel and Abgrall is improved and applied to numerical simulation of compressible multicomponent flows.Based on the operator splitting method given by Saurel et al.and the idea proposed by Abgrall that "for a two phase system,uniformity in velocity and pressure at t=0 will be kept on the same variable during its temporal evolution",discretization for the non-conservative terms and upwind scheme for the volume fraction evolution equation are derived in terms of the underlying HLLC approximate Riemann solver used for the conservation equations.Moreover,the third-order TVD Runge-Kutta method is implemented in conjunction with the operator splitting to obtain a robust procedure by reordering the sequence of operators.Numerical tests with several 1d and 2d compressible gas-liquid multicomponent flow problems with high density and high pressure ratios demonstrate that the present method is more accurate and robust than previous methods.
- compressible multiphase flow,
- seven-equation multiphase model,
- operator splitting,
- HLLC,
- TVD Runge-Kutta

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References

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AN HLLC SCHEME FOR THE SEVEN-EQUATION MULTIPHASE MODEL AND ITS APPLICATION TO COMPRESSIBLE MULTICOMPONENT FLOW