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On steady state computation of turbulent flows using k –ε models approximated by the time splitting method
Author(s) -
Du Tao,
Wu ZiNiu,
Wang Bing
Publication year - 2005
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.1119
Subject(s) - turbulence , convergence (economics) , computation , scalar (mathematics) , mathematics , steady state (chemistry) , flow (mathematics) , compressibility , numerical analysis , compressible flow , incompressible flow , mathematical analysis , mechanics , physics , geometry , algorithm , chemistry , economics , economic growth
The time splitting method is frequently used in numerical integration of flow equations with source terms since it allows almost independent programming for the source part. In this paper we will consider the question of convergence to steady state of the time splitting method applied to k –ε turbulence models. This analysis is derived from a properly defined scalar study and is carried out with success for the coupled k –ε equations. It is found that the time splitting method does not allow convergence to steady state for any choice of finite values of the time step. Numerical experiments for some typical turbulent compressible flow problems support the fact that the time splitting method is always nonconvergent, while its nonsplitting counterpart is convergent. Copyright © 2005 John Wiley & Sons, Ltd.