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Wind and Structures Volume 12, Number 1, January, 2009 , pages 21-47 DOI: https://doi.org/10.12989/was.2009.12.1.021 |
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Finite element analysis of 2D turbulent flows using the logarithmic form of the k-? model |
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Hiroshi Hasebe and Takashi Nomura
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| Abstract | ||
| The logarithmic form for turbulent flow analysis guarantees the positivity of the turbulence variables as k and ? of the k-? model by using the natural logarithm of these variables. In the present study, the logarithmic form is incorporated into the finite element solution procedure for the unsteady turbulent flow analysis. A backward facing step flow using the standard k-? model and a flow around a 2D square cylinder using the modified k-? model (the Kato-Launder model) are simulated. These results show that the logarithmic form effectively keeps adequate balance of turbulence variables and makes the analysis stable during transient or unsteady processes. | ||
| Key Words | ||
| logarithmic form; k-? model; finite element method; backward facing step; square-cylinder. | ||
| Address | ||
| Hiroshi Hasebe Department of Civil Engineering, CST, Nihon University,Kanda-Surugadai 1-8-14, Chiyoda-ku, Tokyo 101-8308, Japan Takashi Nomura Department of Civil Engineering, CST, Nihon University,Kanda-Surugadai 1-8-14, Chiyoda-ku, Tokyo 101-8308, Japan | ||