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Fundamental solutions and numerical methods for flow problems
Author(s) -
Wu J. C.
Publication year - 1984
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.1650040207
Subject(s) - flow (mathematics) , finite element method , mathematics , numerical analysis , method of fundamental solutions , calculus (dental) , computer science , mathematical optimization , mathematical analysis , geometry , engineering , boundary element method , boundary knot method , medicine , structural engineering , dentistry
An approach for the numerical solution of flow problems based on the concept of fundamental solutions of differential equations is described. This approach uses the finite element methodology but does not rely on the concept of variational principle or that of residuals. The approach is shown to be well‐suited for many types of flow problems. Various applications of this approach are discussed in this paper, with particular emphasis placed on the solution of potential flows and viscous flows containing appreciable regions of separation.