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# A Critical Evaluation of the Classical $k-\varepsilon$ Model and Wall-Laws for Unsteady Flows over Bluff Bodies

Abstract : The classical $k-\varepsilon$ model and a new implementation of wall-laws have been evaluated for unsteady turbulent flows past square and circular cylinders. We show that good numerics can lead to a serious improvement of the results. In the case of the flow past a square cylinder (Lyn's test case), results agree surprisingly well with the experimental data. In the analysis of the vortex shedding flow past a circular cylinder also the agreement is quite good for the sub-critical regime but not entirely satisfactory after the critical Reynolds number (i.e. the drag crisis phenomenon
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https://hal.inria.fr/inria-00073636
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Submitted on : Wednesday, May 24, 2006 - 1:23:30 PM
Last modification on : Thursday, February 3, 2022 - 11:16:48 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:52:47 PM

### Identifiers

• HAL Id : inria-00073636, version 1

### Citation

Bijan Mohammadi, Gorazd Medic. A Critical Evaluation of the Classical $k-\varepsilon$ Model and Wall-Laws for Unsteady Flows over Bluff Bodies. [Research Report] RR-3056, INRIA. 1996. ⟨inria-00073636⟩

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