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NUMERICAL STABILITY ANALYSIS FOR FREE SURFACE FLOWS
Author(s) -
Wang Minglun,
Troesch Armin W.
Publication year - 1997
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/(sici)1097-0363(19970515)24:9<893::aid-fld521>3.0.co;2-7
Subject(s) - discretization , numerical analysis , stability (learning theory) , free surface , numerical stability , mathematics , surface (topology) , eulerian path , computer simulation , work (physics) , von neumann stability analysis , mathematical analysis , lagrangian , mechanics , geometry , computer science , physics , statistics , machine learning , thermodynamics
A systematic methodology of numerical stability is presented here in the study of numerical properties of mixed Eulerian– Lagrangian schemes for the numerical simulation of non‐linear free surface flows. Two different numerical schemes, i.e. a source–doublet panel method and a desingularized method, are investigated. The present work provides theoretical foundations and applications for numerical stability analysis theory. The matrix stability method has been developed to obtain the spectral radii and normal modes associated with free surface discretization. Some examples considered illustrate the usefulness of this analysis. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 893–912, 1997.