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Discontinuous approximation of viscous two-phase flow in heterogeneous porous media

Abstract:

Runge-Kutta Discontinuous Galerkin (RKDG) and Discontinuous Finite Volume Element (DFVE) methods are applied to a coupled flow-transport problem describing the immiscible displacement of a viscous incompressible fluid in a non-homogeneous porous medium. The model problem consists of nonlinear pressure-velocity equations (assuming Brinkman flow) coupled to a nonlinear hyperbolic equation governing the mass balance (saturation equation). The mass conservation properties inherent to finite volum...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcp.2016.05.043

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Funding agency for:
Ruiz Baier, R
Grant:
Mathematical Sciences Sponsorship Fund
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Funding agency for:
Ruiz Baier, R
Grant:
Mathematical Sciences Sponsorship Fund
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Funding agency for:
Kumar Kenettinkara, S
Grant:
3150313
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Funding agency for:
Kumar, S
Grant:
Applications
NationalProgrammeonDifferentialEquations:Theory,Computation
Publisher:
Elsevier Publisher's website
Journal:
Journal of Computational Physics Journal website
Volume:
321
Pages:
126–150
Publication date:
2016-01-01
Acceptance date:
2016-05-20
DOI:
ISSN:
0021-9991
Source identifiers:
623481
Keywords:
Pubs id:
pubs:623481
UUID:
uuid:c4d6c754-b216-4205-9c9f-104a018a4bde
Local pid:
pubs:623481
Deposit date:
2016-05-23

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