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Stabilization of a time integrator for the 3D shallow water equations by smoothing techniques
Author(s) -
de Goede E. D.
Publication year - 1991
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.1650120505
Subject(s) - smoothing , integrator , operator (biology) , stability (learning theory) , mathematics , shallow water equations , control theory (sociology) , computer science , mathematical optimization , mathematical analysis , artificial intelligence , computer network , biochemistry , statistics , chemistry , control (management) , bandwidth (computing) , repressor , machine learning , transcription factor , gene
A smoothing technique is applied to improve the stability of a semi‐implicit time integrator for the three‐dimensional shallow water equations. In this method the terms involving the vertical direction are treated implicitly. The stability condition on the time step depends only on the horizontal mesh sizes; therefore in the horizontal‐direction a smoothing operator is added. Owing to the smoothing, the maximally stable time step increases considerably while the accuracy is hardly affected. Moreover, it turns out that the smoothing operator is efficient on vector and parallel computers.