New approach to the discretization diffusive flow volumes finished high obliquity

New approach to the discretization diffusive flow volumes finished high obliquity

We propose a new approach for the discretization of diffusive flux on a non orthogonal mesh based on the Deferred correction introduced by Peric. This new method is applied successfully to the solution of a Poisson problem in quadrangular domains meshed with very distorted control volumes. The inter...

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Veröffentlicht in:Comptes rendus. Mecanique 2006-06, Vol.334 (6), p.380-386
Hauptverfasser: Ahipo, Yves Marcel, Traore, Philippe
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Sprache:eng ; fre
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Traore, Philippe
description We propose a new approach for the discretization of diffusive flux on a non orthogonal mesh based on the Deferred correction introduced by Peric. This new method is applied successfully to the solution of a Poisson problem in quadrangular domains meshed with very distorted control volumes. The interest of this approach lies in the fact that the precision of the used schemes is conserved despite meshes distortion level. The comparative study of the value of the spectral radius of iteration matrix enables us to explain why our Deferred correction approach is better than that of Peric, which diverges on highly skewed meshes.
doi_str_mv 10.1016/j.crme.2006.03.015
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title New approach to the discretization diffusive flow volumes finished high obliquity
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