Accurate resolution of turbulent wakes is a formidable task. Herein, we challenge this task by testing several compact schemes for approximating the convective derivative of the direct numerical and large-eddy simulation (DNS and LES) methodologies. The stencils house the needed resolution efficiency and numerical stability characteristics to properly resolve turbulent wakes while concurrently maintaining convergent solutions. Turbulent wakes of the circular cylinder are computed for Re = 1260 and 3900 with the results verified by the experimental evidence.

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