A numerical upscaling method for an elliptic equation with heterogeneous tensorial coefficients | Zendy

Luce Robert | Zendy; Perez Sylvie | Zendy

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A numerical upscaling method for an elliptic equation with heterogeneous tensorial coefficients

Author(s) -

Luce Robert,

Perez Sylvie

Publication year - 2002

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.441

Subject(s) - classification of discontinuities , finite volume method , mathematics , numerical analysis , scale (ratio) , permeability (electromagnetism) , mathematical analysis , mechanics , physics , quantum mechanics , membrane , biology , genetics

The aim of this paper is to develop a new numerical method to determine the effective permeability on a coarse scale level of problems with strongly heterogeneous tensorial coefficients defined on a fine scale. This method stems from a primal–dual mixed formulation and the upscaled permeability is obtained by imposing the continuity of the numerical flux across the lines of discontinuities. Moreover, a finite volume scheme is built to numerically solve elliptic equations with this kind of coefficients. Finally, the method is illustrated by several numerical experiments. Copyright © 2002 John Wiley & Sons, Ltd.

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