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Numerical methods and programming, 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
Full-text PDF (187 kB)
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.
Received: 11.02.2017
UDC: 517.9
Language: Russian
Citation: K. A. Novikov, “A maximum principle for multiphase flow models”, Num. Meth. Prog., 18:2 (2017), 138–145
Citation in format AMSBIB
\Bibitem{Nov17}
\by K.~A.~Novikov
\paper A maximum principle for multiphase flow models
\jour Num. Meth. Prog.
\yr 2017
\vol 18
\issue 2
\pages 138--145
\mathnet{http://mi.mathnet.ru/vmp866}
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  • https://www.mathnet.ru/eng/vmp/v18/i2/p138
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