A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media

F.A. Radu, J.M. Nordbotten, I.S. Pop, K. Kumar

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In this work we consider a mathematical model for two-phase flow in porous media. The fluids are assumed immiscible and incompressible and the solid matrix non-deformable. The mathematical model for the two-phase flow is written in terms of the global pressure and a complementary pressure (obtained by using the Kirchhoff transformation) as primary unknowns. For the spatial discretization, finite volumes have been used (more precisely the multi-point flux approximation method) and in time the backward Euler method has been employed. We present here a new linearization scheme for the nonlinear system arising after the temporal and spatial discretization. We show that the scheme is linearly convergent. Numerical experiments are presented and sustain the theoretical results. Keywords: two-phase flow, linearization schemes, finite volume, MPFA, convergence analysis.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's10
StatusGepubliceerd - 2014

Publicatie series

NaamCASA-report
Volume1425
ISSN van geprinte versie0926-4507

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