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.
|Journal||[No source information available]|
|Publication status||Published - 1 Jan 1987|
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