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A new method for accelerating the rate of convergence of the simple‐like algorithm
Author(s) -
Wen X.,
Ingham D. B.
Publication year - 1993
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.1650170504
Subject(s) - laminar flow , simple (philosophy) , rate of convergence , convergence (economics) , mathematics , conservation of mass , simple algorithm , algorithm , momentum (technical analysis) , flow (mathematics) , pressure correction method , mathematical optimization , computer science , mechanics , geometry , compressibility , physics , thermodynamics , epistemology , finance , economics , economic growth , computer network , channel (broadcasting) , philosophy
A pressure correction formula is proposed for the SIMPLE‐like algorithm in order to improve the rate of the convergence when solving laminar Navier–Stokes equations when there is rapidly varying pressure. Based on global mass conservation, a line average pressure correction is derived by integration of the momentum equation for approximate one‐dimensional flow. The use of this formula with the SIMPLE‐like algorithm can rapidly build up the pressure distribution in the region where the pressure undergoes a very large change, which normally causes the rate of convergence of the SIMPLE or the SIMPLEC schemes to be slow. In order to illustrate the technique, the performances of SIMPLE and of SIMPLEC with the average pressur correction are investigated for axisymmetric flow past and through a sampler. A comparison of these two techniques shows that the average pressure correction proposed in this paper significantly accelerates the rate of convergence.