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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 318Analysis of Finite Element Discretisation Schemes...

Analysis of Finite Element Discretisation Schemes for Multi-Phase Darcy Flow

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Abstract:

We demonstrate that care must be taken in a finite-element discretisation of multi-phase compressible Darcy flow, otherwise constraints of non-negativity of fluid mass can become violated. Generalising a technique pioneered by Dalen, a lumped, finite-difference-inspired approximation with upstream weighting is described. This is numerically cheap, physically elegant, and the fluid mass at all nodes remains non-negative.

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Defects and Diffusion in Semiconductors XIII

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Periodical:

Defect and Diffusion Forum (Volume 318)

Pages:

33-40

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.318.33

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Online since:

July 2011

Authors:

Deepak P. Adhikary, Andy H. Wilkins

Keywords:

Darcy Flow, Finite Element, Multi-Phase

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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