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  A kinetic flux-vector splitting method for the shallow water magnetohydrodynamics

Qamar, S., & Mudasser, S. (2010). A kinetic flux-vector splitting method for the shallow water magnetohydrodynamics. Computer Physics Communications, 181(6), 1109-1122. doi:10.1016/j.cpc.2010.02.019.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-905B-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B4D3-E
Genre: Journal Article

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 Creators:
Qamar, S.1, 2, Author              
Mudasser, S.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: Shallow water magnetohydrodynamic equations; Kinetic schemes; MUSCL-type reconstruction; Conservation laws; Hyperbolic systems; Discontinuous solutions
 Abstract: A kinetic flux-vector splitting (KFVS) scheme for the shallow water magnetohydrodynamic (SWMHD) equations in one- and two-space dimensions is formulated and applied. These equations model the dynamics of a thin layer of nearly incompressible and electrically conducting fluids for which the evolution is nearly two-dimensional with magnetic equilibrium in the third direction. The proposed numerical scheme is based on the direct splitting of macroscopic flux functions of the SWMHD equations. In two-space dimensions the scheme is derived in a usual dimensionally split manner; that is, the formulae for the fluxes can be used along each coordinate direction. The high-order resolution of the scheme is achieved by using a MUSCL-type initial reconstruction and Runge–Kutta time stepping method. Both one- and two-dimensional test computations are presented. For validation, the results of KFVS scheme are compared with those obtained from the space–time conservation element and solution element (CE/SE) method. The accuracy, efficiency and simplicity of the KFVS scheme demonstrate its potential in modeling SWMHD equations. © 2010 Elsevier B.V. All rights reserved. [accessed May 7,2010)

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Language(s): eng - English
 Dates: 2010
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 475573
DOI: 10.1016/j.cpc.2010.02.019
Other: 45/10
 Degree: -

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Title: Computer Physics Communications
  Other : Comput. Phys. Commun.
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 181 (6) Sequence Number: - Start / End Page: 1109 - 1122 Identifier: ISSN: 0010-4655
CoNE: https://pure.mpg.de/cone/journals/resource/954925392326