Abstract
The random-vortex method (incorporating the vortex-in-cell method and numerical conformal transformation) has been used to compute two-dimensional viscous oscillatory flows around cylindrical bodies of various shapes, including circular and square cross-sections. Reynolds numbers are chosen to allow comparison with experimental measurements of drag and inertia coefficients and Keulegan-Carpenter numbers are restricted to values below 3. The variation of drag coefficient with Keulegan-Carpenter number is related to the vortical structures; in particular the minimum drag coefficient for the circular cylinder is explained. Comparisons of the force coefficients are also made with attached flow theory and discrete-vortex analyses for sharp-edged cylinders.
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