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Theory and applications in stability of free‐surface time‐domain boundary element models
Author(s) -
Büchmann Bjarne
Publication year - 2001
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.176
Subject(s) - discretization , stability (learning theory) , boundary (topology) , domain (mathematical analysis) , boundary element method , mathematics , surface (topology) , free surface , mathematical analysis , finite element method , element (criminal law) , geometry , mechanics , computer science , physics , engineering , structural engineering , machine learning , law , political science
A method is presented for examining the stability of a free‐surface time‐domain boundary element model based on B‐splines. Effects of a non‐uniform discretization occurring in practical applications are included. It is demonstrated that instabilities may occur, even in situations where earlier stability analyses predicted the scheme to be stable. These instabilities are due to non‐uniformities in the spatial discretization, which have until now not been included in the stability analyses. Copyright © 2001 John Wiley & Sons, Ltd.