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Finite volume methods for laminar and turbulent flows using a penalty function approach
Author(s) -
Simoneau J.,
Pollard A.
Publication year - 1994
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.1650180803
Subject(s) - laminar flow , finite volume method , turbulence , discretization , penalty method , plane (geometry) , flow (mathematics) , mathematics , jet (fluid) , mechanics , mathematical optimization , physics , mathematical analysis , geometry
A penalty function, finite volume method is described for two‐dimensional laminar and turbulent flows. Turbulence is modelled using the k ‐ϵ model. The governing equations are discretized and the resulting algebraic equations are solved using both sequential and coupled methods. The performance of these methods is gauged with reference to a tuned SIMPLE‐C algorithm. Flows considered are a square cavity with a sliding top, a plane channel flow, a plane jet impingement and a plane channel with a sudden expansion. A sequential method is employed, which uses a variety of dicretization practices, but is found to be extremely slow to converge; a coupled method, evaluated using a variety of matrix solvers, converges rapidly but, relative to the sequential approach, requires larger memory.