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A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
Univ Bergen, Dept Math, N-5020 Bergen, Norway..ORCID iD: 0000-0002-2577-5684
Univ Bergen, Dept Math, N-5020 Bergen, Norway..
Univ Bergen, Dept Math, N-5020 Bergen, Norway.;Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands..ORCID iD: 0000-0001-9647-4347
Univ Bergen, Dept Math, N-5020 Bergen, Norway.;Univ Texas Austin, ICES, Austin, TX 78712 USA..
2015 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 289, p. 134-141Article in journal (Refereed) Published
Abstract [en]

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 that sustain the theoretical results.

Place, publisher, year, edition, pages
Elsevier , 2015. Vol. 289, p. 134-141
Keywords [en]
Two-phase flow, Linearization schemes, Finite volume, MPFA, Convergence analysis
National Category
Mechanical Engineering
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-69257DOI: 10.1016/j.cam.2015.02.051ISI: 000356733900010OAI: oai:DiVA.org:kau-69257DiVA, id: diva2:1254275
Available from: 2018-10-08 Created: 2018-10-08 Last updated: 2018-10-18Bibliographically approved

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Kumar, Kundan

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