Multiscale simulations of porous media flows in flow-based coordinate system

Yalchin Efendiev*, T. Hou, T. Strinopoulos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system.

Original languageEnglish (US)
Pages (from-to)257-272
Number of pages16
JournalComputational Geosciences
Issue number3
StatePublished - Mar 7 2008


  • Flow-based coordinate system
  • Multi scale
  • Porous media flow
  • Two-phase flow
  • Upscaling

ASJC Scopus subject areas

  • Computer Science Applications
  • Computers in Earth Sciences
  • Computational Theory and Mathematics
  • Computational Mathematics


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