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  A high order kinetic flux-vector splitting method for the reduced five-equation model of compressible two-fluid flows

Qamar, S., & Ahmed, M. (2009). A high order kinetic flux-vector splitting method for the reduced five-equation model of compressible two-fluid flows. Journal of Computational Physics, 228(24), 9059-9078. doi:10.1016/j.jcp.2009.09.010.

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 Creators:
Qamar, S.1, 2, Author           
Ahmed, M.2, Author
Affiliations:
1Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738150              
2COMSATS Institute of Information Technology, Islamabad, Pakistan, persistent:22              

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Free keywords: Five-equation model; Kinetic flux-vector splitting schemes; Central schemes; Conservation laws; Hyperbolic systems; Shock solutions
 Abstract: 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]

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Language(s): eng - English
 Dates: 2009
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 437635
Other: 54/09
DOI: 10.1016/j.jcp.2009.09.010
 Degree: -

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Title: Journal of Computational Physics
Source Genre: Journal
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Publ. Info: Orlando, Fla. : Academic Press
Pages: - Volume / Issue: 228 (24) Sequence Number: - Start / End Page: 9059 - 9078 Identifier: ISSN: 0021-9991
CoNE: https://pure.mpg.de/cone/journals/resource/954922645031