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          Institute: MPI für Dynamik komplexer technischer Systeme     Collection: Physical and Chemical Foundations of Process Engineering     Display Documents



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ID: 437635.0, MPI für Dynamik komplexer technischer Systeme / Physical and Chemical Foundations of Process Engineering
A high order kinetic flux-vector splitting method for the reduced five-equation model of compressible two-fluid flows
Authors:Qamar, S.; Ahmed, M.
Language:English
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Journal of Computational Physics
Volume:228
Issue / Number:24
Start Page:9059
End Page:9078
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We present a high order kinetic flux-vector splitting (KFVS) scheme for the numerical solution of a conservative interface-capturing five-equation model of compressible two-fluid flows. This model was initially introduced by Wackers and Koren (2004) [21]. 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 in order to account for the energy exchange. We numerically investigate both one- and two-dimensional flow models. The proposed numerical scheme is based on the direct splitting of macroscopic flux functions of the system of equations. In two space dimensions the scheme is derived in a usual dimensionally split manner. The second order accuracy of the scheme is achieved by using MUSCL-type initial reconstruction and Runge–Kutta time stepping method. For validation, the results of our scheme are compared with those from the high resolution central scheme of Nessyahu and Tadmor [14]. The accuracy, efficiency and simplicity of the KFVS scheme demonstrate its potential for modeling two-phase flows. Copyright © 2009 Elsevier B.V. All rights reserved. [accessed November 25, 2009]
Free Keywords:Five-equation model; Kinetic flux-vector splitting schemes; Central schemes; Conservation laws; Hyperbolic systems; Shock solutions
External Publication Status:published
Document Type:Article
Communicated by:Andreas Seidel-Morgenstern
Affiliations:MPI für Dynamik komplexer technischer Systeme/Physical and Chemical Foundations of Process Engineering
External Affiliations:COMSATS Institute of Information Technology,
Department of Mathematics,
Plot No. 30, H-8/1 Islamabad, Pakistan
Identifiers:LOCALID:54/09
URL:http://dx.doi.org/10.1016/j.jcp.2009.09.010
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