Discontinuous and mixed finite elements for two-phase incompressible flow

Guy Chavent, Gary Cohen, Jerome Jaffre, Robert Eymard, Dominique Guerillot, Luce Weiil

Research output: Contribution to journalArticle

27 Citations (Scopus)


The simulation of multiphase flow presents several difficulties, including (1) the occurrence of sharp moving fronts when convection is dominating, (2) the need for a good approximation of velocities to calculate the convective terms of the equation, and (3) flow singularities around wells. To handle the first difficulty, we propose a Godunov-type higher-order scheme based on a piecewise linear approximation of the saturation associated with a multidimensional slope limiter. With respect to the second, the pressure equation is approximated by means of a mixed-hybrid formulation equivalent to the classic mixed formulation but yielding a positive-definite linear system. To solve the third difficulty, we introduce macroelements around wells. Numerical experiments illustrate the capabilities of the method.

Original languageEnglish
Pages (from-to)567-575
Number of pages9
JournalSPE Reservoir Engineering (Society of Petroleum Engineers)
Issue number4
Publication statusPublished - Nov 1990
Externally publishedYes


ASJC Scopus subject areas

  • Process Chemistry and Technology

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