Paper Title:
Analysis of Finite Element Discretisation Schemes for Multi-Phase Darcy Flow
  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.

  Info
Periodical
Edited by
D.J. Fisher
Pages
33-40
DOI
10.4028/www.scientific.net/DDF.318.33
Citation
D. P. Adhikary, 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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