Discontinuous and mixed finite elements for two-phase incompressible flow.

R. Eymard, G. Chavent, J. Jaffre, Dominique Guerillot, L. Weill

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Abstract

Three problems in the simulation of multiphase flow are considered. A discontinuous piecewise polynomial approximation of the saturation enables the design of a higher order scheme. To prevent oscillations and to preserve stability, the method is associated with a multi dimensional slope limiter. The pressure equation is approximated by means of a mixed hybrid formulation equivalent to the classical mixed formulation. The problem of singularities around wells is addressed by introducing macroelements. This enables the simulation of non radial flow in particular.

Original languageEnglish
Journal[No source information available]
Publication statusPublished - 1 Jan 1987

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ASJC Scopus subject areas

  • Engineering(all)

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