A steady state simulation for the flow past a circular cylinder at the sub-critical Reynolds number of 3900 is conducted using a variety of non-linear eddy viscosity-based two-equation κ-ε models. Although, this simulation compromises the transient characteristics of the flow, the solution obtained using a steady state simulation showed qualitative relevance. Steady state results were closely comparable to the far more expensive and supposedly more correct time-averaged solutions obtained using transient simulations. The dissipative effect due to such turbulence modeling by far overweighs the effect of the numerical dissipation. Such dissipation dampened the intrinsic self-excited unsteadiness known to exist in such flow and enabled steady state-like solution. In-house developed finite volume based code along with a commercial finite-element code, were used. Qualitative agreement is attainable for the surface-pressure distribution over the cylinder and the centerline streamwise velocity in the wake regions. For this type of problems, the time-averaged solutions obtained using transient simulation that employs the non-linear eddy viscosity-based two-equation κ-ε type models, offered marginal improvement over those obtained using steady state simulations.
Code Development and Validation of RANS Solvers for Flows Around Bluff Bodies
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Khashan, S, & Alteraifi, AM. "Code Development and Validation of RANS Solvers for Flows Around Bluff Bodies." Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Fluids Engineering. New Orleans, Louisiana, USA. November 17–22, 2002. pp. 765-772. ASME. https://doi.org/10.1115/IMECE2002-39157
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