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  The space-time CESE method for solving special relativistic hydrodynamic equations

Qamar, S., & Yousaf, M. (2012). The space-time CESE method for solving special relativistic hydrodynamic equations. Journal of Computational Physics, 231(10), 3928-3945. doi:10.1016/j.jcp.2012.01.039.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-8A04-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B391-8
Genre: Journal Article

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 Creators:
Qamar, Shamsul1, 2, Author              
Yousaf, 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, Dep. of Mathematics, Islamabad, Pakistan, persistent:22              

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Free keywords: Special relativistic hydrodynamics; Space–time CESE method; Conservation laws; Hyperbolic systems; Discontinuous solutions
 Abstract: The special relativistic hydrodynamic equations are more complicated than the classical ones due to the nonlinear and implicit relations that exist between conservative and primitive variables. In this article, a space–time conservation element and solution element (CESE) method is proposed for solving these equations in one and two space dimensions. The CESE method has capability to capture sharp propagating wavefront of the relativistic 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 blocks of the suggested method. The method differs from previous techniques because of global and local flux conservation in a space–time domain without resorting to interpolation or extrapolation. The scheme is efficient, robust, and gives results comparable to those obtained with more sophisticated algorithms, even in highly relativistic two-dimensional test problems. Copyright © 2012 Elsevier Inc. All rights reserved. [accessed June 12th 2012]

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Language(s): eng - English
 Dates: 2012
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 610197
Other: 30/12
DOI: 10.1016/j.jcp.2012.01.039
 Degree: -

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Title: Journal of Computational Physics
Source Genre: Journal
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Affiliations:
Publ. Info: Orlando, Fla. : Academic Press
Pages: - Volume / Issue: 231 (10) Sequence Number: - Start / End Page: 3928 - 3945 Identifier: ISSN: 0021-9991
CoNE: https://pure.mpg.de/cone/journals/resource/954922645031