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The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

Published online by Cambridge University Press:  20 August 2015

Shamsul Qamar ,
Munshoor Ahmed  and
Ishtiaq Ali
Shamsul Qamar*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad Islamabad, Pakistan Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstr. 1, 39106 Magdeburg, Germany
Munshoor Ahmed*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad Islamabad, Pakistan
Ishtiaq Ali*
Affiliation:
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad Islamabad, Pakistan
*
Corresponding author.Email:shamsul.qamar@comsats.edu.pk
Email:manshoor@comsats.edu.pk
Email:ishtiaqali@comsats.edu.pk
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Abstract

The space-time conservation element and solution element (CE/SE) method is proposed for solving a conservative interface-capturing reduced model of compressible two-fluid flows. The flow equations are the bulk equations, combined with mass and energy equations for one of the two fluids. The latter equation contains a source term for accounting the energy exchange. The one and two-dimensional flow models are numerically investigated in this manuscript. The CE/SE method is capable to accurately capture the sharp propagating wavefronts of the fluids without excessive numerical diffusion or spurious oscillations. In contrast to the existing upwind finite volume schemes, the Riemann solver and reconstruction procedure are not the building block of the suggested method. The method differs from the previous techniques because of global and local flux conservation in a space-time domain without resorting to interpolation or extrapolation. In order to reveal the efficiency and performance of the approach, several numerical test cases are presented. For validation, the results of the current method are compared with other finite volume schemes.

Keywords

76T9965Y9965M9935L4535L6535L67Reduced modelspace-time CE/SE methodcentral schemesconservation lawshyperbolic systemsshock solutions
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 4 , October 2012 , pp. 1070 - 1095
Copyright
Copyright © Global Science Press Limited 2012

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