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

Abstract:

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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.

Info:

Periodical:

Edited by:

D.J. Fisher

Pages:

33-40

DOI:

10.4028/www.scientific.net/DDF.318.33

Citation:

D. P. Adhikary and A. H. Wilkins, "Analysis of Finite Element Discretisation Schemes for Multi-Phase Darcy Flow", Defect and Diffusion Forum, Vol. 318, pp. 33-40, 2011

Online since:

July 2011

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$35.00

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