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An application of Roe's flux‐difference splitting for k ‐ϵ turbulence model
Author(s) -
Siikonen Timo
Publication year - 1995
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.1650211102
Subject(s) - turbulence , reynolds averaged navier–stokes equations , mathematics , inviscid flow , k epsilon turbulence model , turbulence modeling , multigrid method , k omega turbulence model , reynolds number , reynolds stress equation model , mathematical analysis , physics , mechanics , differential equation
In this paper Roe's flux‐difference splitting is applied for the solution of Reynolds‐averaged Navier‐Stokes equations. Turbulence is modelled using a low‐Reynolds number form of the k ‐ϵ tubulence model. The coupling between the turbulence kinetic energy equation and the inviscid part of the flow equations is taken into account. The equations are solved with a diagonally dominant alternating direction implicit (DDADI) factorized implicit time integration method. A multigrid algorithm is used to accelerate the convergence. To improve the stability some modifications are needed in comparison with the application of an algebraic turbulence model. The developed method is applied to three different test cases. These cases show the efficiency of the algorithm, but the results are only marginally better than those obtained with algebraic models.