Adaptive moving grid methods for two-phase flow in porous media

Hao Dong, Zhonghua QIAO, Shuyu Sun, Tao TANG*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

In this paper, we present an application of the moving mesh method for approximating numerical solutions of the two-phase flow model in porous media. The numerical schemes combine a mixed finite element method and a finite volume method, which can handle the nonlinearities of the governing equations in an efficient way. The adaptive moving grid method is then used to distribute more grid points near the sharp interfaces, which enables us to obtain accurate numerical solutions with fewer computational resources. The numerical experiments indicate that the proposed moving mesh strategy could be an effective way to approximate two-phase flows in porous media.

Original languageEnglish
Pages (from-to)139-150
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume265
DOIs
Publication statusPublished - 1 Aug 2014

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Finite volume method
  • Mixed finite element method
  • Moving mesh method
  • Porous medium
  • Two-phase flow

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