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A practical method of two‐equation turbulence modelling using finite elements
Author(s) -
Smith R. M.
Publication year - 1984
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.1650040403
Subject(s) - finite element method , discretization , turbulence , polygon mesh , mathematics , mixed finite element method , convergence (economics) , computational fluid dynamics , discontinuous galerkin method , extended finite element method , flow (mathematics) , k epsilon turbulence model , galerkin method , turbulence modeling , mathematical optimization , computer science , mathematical analysis , mechanics , physics , geometry , economics , economic growth , thermodynamics
Incorporation of the k‐ϵ turbulence model into Galerkin finite‐element fluid‐flow codes (which, unlike upwind finite‐difference codes, have no artificial damping) can lead to severe iterative convergence difficulties. This paper introduces an alternative turbulence model (the q‐f model) and an associated finite‐element discretization method which are designed to overcome these problems. The new model forms the basis of a finite‐element fluid‐flow code which is robust and efficient. Furthermore, it is demonstrated on a practical example that the code can give good agreement with experiment on fairly coarse meshes.