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On the smoothing properties of the SIMPLE pressure‐correction algorithm
Author(s) -
Shaw G. J.,
Sivaloganathan S.
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.1650080406
Subject(s) - smoothing , simple (philosophy) , multigrid method , algorithm , representation (politics) , simple algorithm , mathematics , fourier transform , fourier analysis , computer science , mathematical optimization , partial differential equation , mathematical analysis , physics , philosophy , statistics , epistemology , politics , political science , law , thermodynamics
A local mode Fourier analysis is used to assess the suitability of the SIMPLE pressure‐correction algorithm to act as a smoother in a multigrid method. The necessary ellipticity of the Navier‐Stokes equations and their discrete representation are established. The theoretical analysis is compared with practical results.