Numerical comparison of robustness of some reduction methods in rough grids

Handle URI:
http://hdl.handle.net/10754/564908
Title:
Numerical comparison of robustness of some reduction methods in rough grids
Authors:
Hou, Jiangyong; Sun, Shuyu ( 0000-0002-3078-864X ) ; Chen, Zhangxin
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Computational Transport Phenomena Lab
Publisher:
Wiley-Blackwell
Journal:
Numerical Methods for Partial Differential Equations
Issue Date:
9-Apr-2014
DOI:
10.1002/num.21873
Type:
Article
ISSN:
0749159X
Sponsors:
Contract grant sponsor: National Natural Science Foundation of China; contract grant number: No. 11371288
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorHou, Jiangyongen
dc.contributor.authorSun, Shuyuen
dc.contributor.authorChen, Zhangxinen
dc.date.accessioned2015-08-04T07:24:48Zen
dc.date.available2015-08-04T07:24:48Zen
dc.date.issued2014-04-09en
dc.identifier.issn0749159Xen
dc.identifier.doi10.1002/num.21873en
dc.identifier.urihttp://hdl.handle.net/10754/564908en
dc.description.abstractIn 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.en
dc.description.sponsorshipContract grant sponsor: National Natural Science Foundation of China; contract grant number: No. 11371288en
dc.publisherWiley-Blackwellen
dc.subjectbroken RT 1 2en
dc.subjectdistorted meshen
dc.subjecthybrid methodsen
dc.subjectMPFA-type mimetic finite difference methoden
dc.subjectmultipoint flux approximationen
dc.subjectmultipoint flux mixed finite element methoden
dc.subjectnonsymmetricen
dc.subjectsymmetricen
dc.titleNumerical comparison of robustness of some reduction methods in rough gridsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.identifier.journalNumerical Methods for Partial Differential Equationsen
dc.contributor.institutionXi An Jiao Tong Univ, Sch Math & Stat, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R Chinaen
dc.contributor.institutionUniv Calgary, Schulich Sch Engn, Calgary, AB T2N 1N4, Canadaen
kaust.authorSun, Shuyuen
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