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Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver

Abstract:

An algebraic technique is presented for balancing flux gradients and source terms when applying Roe's approximate Riemann solver in finite volume schemes. The numerical imbalance is eradicated by reformulating the governing matrix hyperbolic system of conservation laws in terms of deviations away from an unforced but separately specified equilibrium state. Thus, balancing is achieved by the incorporation of this extra physical information and bypasses conventional numerical treatments of the ...

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Publication status:
Published

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Publisher copy:
10.1016/j.jcp.2003.07.020

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Role:
Author
Journal:
JOURNAL OF COMPUTATIONAL PHYSICS
Volume:
192
Issue:
2
Pages:
422-451
Publication date:
2003-12-10
DOI:
ISSN:
0021-9991
URN:
uuid:0f7dd9f8-cd9c-417a-a34e-ceeb850dde8f
Source identifiers:
63207
Local pid:
pubs:63207

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