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Development of projection and artificial compressibility methodologies using the approximate factorization technique
Author(s) -
Pentaris A.,
Nikolados K.,
Tsangaris S.
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.1650191105
Subject(s) - turbulence , laminar flow , compressibility , mathematics , convergence (economics) , computational fluid dynamics , k epsilon turbulence model , projection method , factorization , projection (relational algebra) , pressure correction method , k omega turbulence model , mathematical optimization , physics , mechanics , algorithm , dykstra's projection algorithm , economics , economic growth
Abstract Predictions for two‐dimensional, steady, incompressible flows under both laminar and turbulent conditions are presented. The standard k ‐ϵ turbulence model is used for the turbulent flows. The computational method is based on the approximate factorization technique. The coupled approach is used to link the equations of motion and the turbulence model equations. Mass conservation is enforced by either the pseudocompressibility method or the pressure correction method. Comparison of the two methods shows a superiority of the pressure correction method. Second‐ and fourth‐order artifical dissipation terms are used in order to achieve good convergence and to handle the turbulence model equations efficiently. Several internal and external test cases are investigated, including attached and separated flows.