Numerical simulation of flow past a circular and a square cylinder at high reynolds number

Increasing the prediction accuracy and computational efficiency of turbulence models at high Reynolds number remains a challenging problem in Computational Fluid Dynamics (CFD). In this paper, several turbulence models are applied for numerical simulation of flow around a circular cylinder and a square cylinder at high Reynolds number. Wray-Agarwal (WA) turbulence model is a recently developed one-equation turbulence model derived from kk-ω closure. Comparisons are made among computational results from WA model, Spalart-Allmaras (SA) model, the shear stress transport (SST) kk-ω model and the standard kk-ω model. For circular cylinder, the computations are performed for Reynolds numbers Ree=6.7×10⁵1×10⁶and 3.6×10⁶; the simulation for a square cylinder is performed at a Reynolds number 2.2×10⁴The computed results are assessed against previous simulations and experimental measurements. Both circular and square geometries produce vortex wakes and oscillating lift and drag. According to the results, the new WA model is competitive in accuracy with the two-equation models and has computational efficiency of a one-equation model.