Some multiscale results using limited global information for two-phase flow simulations

Lijian Jiang*, Jørg E. Aarnes, Yalchin Efendiev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous media. We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information. Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases.

Original languageEnglish (US)
Pages (from-to)115-131
Number of pages17
JournalInternational Journal of Numerical Analysis and Modeling
Volume9
Issue number1
StatePublished - 2012
Externally publishedYes

Keywords

  • Galerkin multiscale finite element method
  • Global information
  • Mixed multiscale finite element method
  • Two-phase flows

ASJC Scopus subject areas

  • Numerical Analysis

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