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

Hao Dong, Zhonghua Qiao, Shuyu Sun, Tao Tang

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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. © 2013 Elsevier B.V. All rights reserved.
Original languageEnglish (US)
Pages (from-to)139-150
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume265
DOIs
StatePublished - Aug 2014

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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