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A direct integral equation method for the potential flow about arbitrary bodies
Author(s) -
Grodtkjær Erik
Publication year - 1973
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.1620060210
Subject(s) - integral equation , mathematics , mathematical analysis , singular integral , flow (mathematics) , ideal (ethics) , potential flow , surface (topology) , geometry , physics , mechanics , philosophy , epistemology
The velocity on the surface of an arbitrary three‐dimensional body in the potential flow of an ideal fluid is determined by means of an integral equation method. The equations to be solved are a pair of singular integral equations of the second kind, the unknowns being the desired velocity components. The integral equations are approximated by a set of linear equations, which are solved numerically. For ellipsoids the results are compared with the analytic solutions.