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A boundary collocation method for the solution of a flow problem in a complex three‐dimensional porous medium
Author(s) -
Levin D.,
Tal A.
Publication year - 1986
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650060904
Subject(s) - boundary (topology) , singular boundary method , collocation (remote sensing) , mathematics , domain (mathematical analysis) , mathematical analysis , flow (mathematics) , collocation method , boundary value problem , singularity , boundary knot method , free boundary problem , geometry , boundary element method , computer science , physics , finite element method , differential equation , ordinary differential equation , machine learning , thermodynamics
A flow problem in a complex three‐dimensional domain with a free surface and mixed‐type boundary conditions is solved by the boundary collocation method. The solution is expressed as a combination of source functions distributed all around the domain close to the boundary, plus a special basis function to take care of a corner singularity. The resulting procedure is compared with the boundary integral elements method and is found to be simpler and more flexible to implement and faster to compute.