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Simulating two‐dimensional turbulent flow by using the κ–ϵ model and the vorticity–streamfunction formulation
Author(s) -
Elkaim D.,
Reggio M.,
Camarero R.
Publication year - 1992
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.1650140806
Subject(s) - vorticity , stream function , discretization , turbulence , vorticity equation , flow (mathematics) , finite volume method , mathematics , control volume , mechanics , mathematical analysis , physics , geometry , vortex
A numerical procedure to solve turbulent flow which makes use of the κ–ϵ model has been developed. The method is based on a control volume finite element method and an unstructured triangular domain discretization. The velocity‐pressure coupling is addressed via the vorticity‐streamfunction and special attention is given to the boundary conditions for the vorticity. Wall effects are taken into account via wail functions or a low‐Reynolds‐number model. The latter was found to perform better in recirculation regions. Source terms of the κ and ε transport equations have been linearized in a particular way to avoid non‐realistic solutions. The vorticity and streamfunction discretized equations are solved in a coupled way to produce a faster and more stable computational procedure. Comparison between the numerical predictions and experimental data shows that the physics of the flow is correctly simulated.