Study of a numerical scheme for miscible two-phase flow in porous media

We study the convergence of a finite volume scheme for a model of miscible two‐phase flow in porous media. In this model, one phase can dissolve into the other one. The convergence of the scheme is proved thanks to an estimate on the two pressures, which allows to prove some estimates on the discret...

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Veröffentlicht in:	Numerical methods for partial differential equations 2014-05, Vol.30 (3), p.723-748
Hauptverfasser:	Eymard, Robert, Schleper, Veronika
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence convergence study Derivatives Dissolution Estimates finite volume methods Mathematical analysis Mathematical models Mathematics Media Nonlinearity Numerical Analysis two-phase flow in porous medium
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