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Numerical solution of a free surface problem by a boundary element method
Author(s) -
Aitchison Joyce M.,
Karageorghis Andreas
Publication year - 1988
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.1650080108
Subject(s) - boundary element method , boundary knot method , singular boundary method , mathematics , singularity , method of fundamental solutions , mathematical analysis , boundary (topology) , free surface , finite element method , boundary value problem , numerical analysis , geometry , mechanics , physics , engineering , structural engineering
This paper describes a method for the numerical solution of a Riabouchinsky cavity flow. Application of a boundary element method leads to a system of non‐linear equations. The mild singularity appearing at the separation point is treated with the introduction of a curved boundary element, which satisfies the exact behaviour of the free boundary in that neighbourhood.