Corner and start-up singularities in porous flow

M. Chapwanya, S. B.G. O'Brien

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the penetration of liquid into a porous medium which is, in part, impervious to the liquid. Corners arise at points where the medium becomes impervious and numerical difficulties can arise due to a conflict in the boundary conditions. In addition there are start-up problems associated with numerically modelling the flow problem because the flow domain is initially empty. We consider some techniques for exploiting similarity techniques to develop accurate numerical algorithms which avoid the above difficulties.

Original languageEnglish
Pages (from-to)163-177
Number of pages15
JournalJournal of Computational and Applied Mathematics
Volume176
Issue number1
DOIs
Publication statusPublished - 1 Apr 2005

Keywords

  • Corner singularity
  • Porous flow
  • Similarity

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