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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2017 Volume 18, Issue 2, Pages 138–145 (Mi vmp866)

A maximum principle for multiphase flow models

K. A. Novikov

Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow

Abstract: Two maximum principles for several multi-phase flow models are formulated and proved. The first one is valid for phase saturations in an incompressible two-phase flow model with constant viscosities. The second one is valid for the global pressure in two- and three-phase flow models with constant viscosities and is also valid for phase pressures in the case of zero capillary pressure.

Keywords: maximum principle, multi-phase flow, black oil model.

UDC: 517.9

Received: 11.02.2017



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