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On coupling the Reynolds‐averaged Navier–Stokes equations with two‐equation turbulence model equations
Author(s) -
Lee Seungsoo,
Whan Choi Dong
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.1049
Subject(s) - turbulence , navier–stokes equations , reynolds averaged navier–stokes equations , k omega turbulence model , turbulence modeling , k epsilon turbulence model , reynolds number , reynolds stress equation model , mathematics , non dimensionalization and scaling of the navier–stokes equations , turbulence kinetic energy , reynolds decomposition , coupling (piping) , reynolds stress , mathematical analysis , physics , mechanics , compressibility , mechanical engineering , engineering
Two methods for coupling the Reynolds‐averaged Navier–Stokes equations with the q – ω turbulence model equations on structured grid systems have been studied; namely a loosely coupled method and a strongly coupled method. The loosely coupled method first solves the Navier–Stokes equations with the turbulent viscosity fixed. In a subsequent step, the turbulence model equations are solved with all flow quantities fixed. On the other hand, the strongly coupled method solves the Reynolds‐averaged Navier–Stokes equations and the turbulence model equations simultaneously. In this paper, numerical stabilities of both methods in conjunction with the approximated factorization‐alternative direction implicit method are analysed. The effect of the turbulent kinetic energy terms in the governing equations on the convergence characteristics is also studied. The performance of the two methods is compared for several two‐ and three‐dimensional problems. Copyright © 2005 John Wiley & Sons, Ltd.