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Three‐dimensional boundary‐element computation of potential flow in fractured rock
Author(s) -
Medina Daniel E.,
Liggett James A.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620261013
Subject(s) - boundary element method , computation , boundary (topology) , flow (mathematics) , potential flow , element (criminal law) , gravitational singularity , numerical integration , constant (computer programming) , geometry , boundary value problem , mathematics , finite element method , mathematical analysis , computer science , algorithm , mechanics , structural engineering , engineering , physics , political science , law , programming language
The use of the boundary‐element method (BEM) for three‐dimensional potential flow problems is described herein. The specific application for which the program is designed is the flow in fractured porous media. There are several enhancements to the usual boundary‐element calculations. The method uses linear elements to approximate better the boundary conditions and the solution on the surfaces as compared to constant elements; accurate integration over high‐aspect‐ratio triangles is achieved by computing all the integrals in closed form, as opposed to numerical cubature or mixed exact‐numerical integration schemes; and the zoning for inhomogeneous regions uses an efficient method which reduces the size of the problem and avoids difficulties with singularities.