Numerical comparison of robustness of some reduction methods in rough grids

Jiangyong Hou; Shuyu Sun; Zhangxin Chen

doi:10.1002/num.21873

Numerical comparison of robustness of some reduction methods in rough grids

Jiangyong Hou, Shuyu Sun, Zhangxin Chen

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5 Scopus citations

Abstract

In this article, we present three nonsymmetric mixed hybrid RT 1 2 methods and compare with some recently developed reduction methods which are suitable for the single-phase Darcy flow problem with full anisotropic and highly heterogeneous permeability on general quadrilateral grids. The methods reviewed are multipoint flux approximation (MPFA), multipoint flux mixed finite element method, mixed-finite element with broken RT 1 2 method, MPFA-type mimetic finite difference method, and symmetric mixed-hybrid finite element method. The numerical experiments of these methods on different distorted meshes are compared, as well as their differences in performance of fluxes are discussed. © 2014 Wiley Periodicals, Inc.

Original language	English (US)
Pages (from-to)	1484-1506
Number of pages	23
Journal	Numerical Methods for Partial Differential Equations
Volume	30
Issue number	5
DOIs	https://doi.org/10.1002/num.21873
State	Published - Apr 9 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Contract grant sponsor: National Natural Science Foundation of China; contract grant number: No. 11371288

ASJC Scopus subject areas

Computational Mathematics
Analysis
Applied Mathematics
Numerical Analysis

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10.1002/num.21873

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AB - In this article, we present three nonsymmetric mixed hybrid RT 1 2 methods and compare with some recently developed reduction methods which are suitable for the single-phase Darcy flow problem with full anisotropic and highly heterogeneous permeability on general quadrilateral grids. The methods reviewed are multipoint flux approximation (MPFA), multipoint flux mixed finite element method, mixed-finite element with broken RT 1 2 method, MPFA-type mimetic finite difference method, and symmetric mixed-hybrid finite element method. The numerical experiments of these methods on different distorted meshes are compared, as well as their differences in performance of fluxes are discussed. © 2014 Wiley Periodicals, Inc.

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Numerical comparison of robustness of some reduction methods in rough grids

Abstract

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