Numerical methods for multiscale transport equations and application to two-phase porous media flow

Xingye Yue, E. Weinan

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media.

Original languageEnglish (US)
Pages (from-to)656-675
Number of pages20
JournalJournal of Computational Physics
Volume210
Issue number2
DOIs
StatePublished - Dec 10 2005

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Multiscale transport equation
  • Numerical methods
  • Two-phase flow in porous media

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