A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs-Reference-Cited by-同舟云学术

A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs

Published:2016-03 Issue: Volume:127 Page:1-16
ISSN:0045-7930
Container-title:Computers & Fluids
language:en
Short-container-title:Computers & Fluids

Author:

Contreras F.R.L.^ORCID,Lyra P.R.M.,Souza M.R.A.,Carvalho D.K.E.

Publisher

Elsevier BV

Subject

General Engineering,General Computer Science

Reference44 articles.

1. Advanced discretization methods for flow simulation using unstructured grids;Moog,2013

2. Discretization on unstructures grids for inhomogeneous, anisotropic media. Part I. Derivation of the methods;Aavastmark;SIAM J Sci Comput,1998

3. An introduction to multipoint flux approximation for quadrilateral grids;Aavatsmark;Comput Geosci,2002

4. A compact multipoint flux approximation method with improved robustness;Aavatsmark;Numer Methods Partial Differ. Equa,2008

5. A node-centered finite volume formulation for the solution of two-phase flows in non-homogeneous porous media;Carvalho;Int J Numer Methods Fluids,2006

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