An Enhanced Velocity multIpoint Flux Mixed Finite Element Method for Darcy Flow on Non-matching Hexahedral Grids | Zendy

Benjamin Ganis | Zendy; Mary F. Wheeler | Zendy; Ivan Yotov | Zendy

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An Enhanced Velocity multIpoint Flux Mixed Finite Element Method for Darcy Flow on Non-matching Hexahedral Grids

Author(s) -

Benjamin Ganis,

Mary F. Wheeler,

Ivan Yotov

Publication year - 2015

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2015.05.295

Subject(s) - hexahedron , computer science , finite element method , matching (statistics) , darcy's law , flow (mathematics) , flux (metallurgy) , element (criminal law) , mathematical optimization , computational science , mathematics , mechanics , geology , porous medium , physics , porosity , materials science , statistics , metallurgy , thermodynamics , geotechnical engineering , political science , law

This paper proposes a new enhanced velocity method to directly construct a flux-continuous velocity approximation with multipoint flux mixed finite element method on subdomains. This gives an efficient way to perform simulations on multiblock domains with non-matching hexa- hedral grids. We develop a reasonable assumption on geometry, discuss implementation issues, and give several numerical results with slightly compressible single phase flow

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