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Journal of Scientific Computing

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01-01-2020

A Multipoint Flux Mixed Finite Element Method for Darcy–Forchheimer Incompressible Miscible Displacement Problem

Authors: Wenwen Xu, Dong Liang, Hongxing Rui, Xindong Li

Published in: Journal of Scientific Computing | Issue 1/2020

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Abstract

We consider a numerical scheme for incompressible miscible displacement problem in porous media. A multipoint flux mixed finite element method is used to handle the velocity–pressure equation. The standard finite element method is used to approximate the concentration equation. Error estimates for pressure and velocity and concentration are presented. Numerical experiments show that the convergence rates of this scheme are in agreement with the theoretical analysis.

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Title: A Multipoint Flux Mixed Finite Element Method for Darcy–Forchheimer Incompressible Miscible Displacement Problem
Authors: Wenwen Xu
Dong Liang
Hongxing Rui
Xindong Li
Publication date: 01-01-2020
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2020
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-019-01103-0

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