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  On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations

Qamar, S., & Mudasser, S. (2010). On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations. Applied numerical mathematics: transactions of IMACS, 60(6), 587-606. doi:10.1016/j.apnum.2010.02.005.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-905F-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B4D4-C
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: Ideal magnetohydrodynamic equations; Two-dimensional model; CE/SE method; Conservation laws; Hyperbolic systems; Discontinuous solutions
 Abstract: In this article we implement a variant space–time conservation element and solution element (CE/SE) method for the numerical solution of two-dimensional ideal magnetohydrodynamic (MHD) equations. The current method uses regular rectangular mesh elements for the domain discretization in two space dimensions. In the method, a single conservation element at each grid point is employed for solving conservation laws no matter in one, two, and three space dimensions. The present scheme uses the conservation element to calculate flow variables only, while the gradients of flow variables are calculated by a central differencing reconstruction procedure. Although the present scheme does not satisfy the divergence free condition, the numerical results obtained with and without divergence cleaning procedure are almost similar. Several two-dimensional test cases are included in this manuscript. These problems are hard test cases for those numerical methods which do not satisfy the divergence free condition. Therefore, the test problems further verify the performance of proposed scheme. A comparison with central schemes shows better resolution of the CE/SE method results. © 2010 IMACS. Published by 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: 475574
DOI: 10.1016/j.apnum.2010.02.005
Other: 44/10
 Degree: -

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Title: Applied numerical mathematics : transactions of IMACS
Source Genre: Journal
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Publ. Info: Amsterdam [Netherlands] : North-Holland
Pages: - Volume / Issue: 60 (6) Sequence Number: - Start / End Page: 587 - 606 Identifier: ISSN: 0168-9274
CoNE: https://pure.mpg.de/cone/journals/resource/954925485717