Volume 9, Issue 1
Some Multiscale Results Using Limited Global Information for Two-phase Simulations

L. Jiang ,  J. Aarnes and Y. Efendiev

Int. J. Numer. Anal. Mod., 9 (2012), pp. 115-131

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  • 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.

  • History

Published online: 2012-09

  • AMS Subject Headings

65N30, 34E13, 34K28

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