Vortex methods for slightly viscous three dimensional flow
We represent a three-dimensional vortex scheme which is a natural extension of the two-dimensional ones, in which spatial derivaties are evaluated by exatly differentiating an approximated velocity field . Numerical results are presented for a flow past a semi-infinite plate, and they demonstrate transition to turbulence. We also suggest a new way to treat the viscous term. The idea is to approximate the vorticity by convolving it with with a cutoff function. We then explicitly differentiate the cutoff function to approximate the second order spatial derivatives in the viscous term.
KeywordsHigh Reynolds Number Three Dimensional Flow Cutoff Function Viscous Term Hairpin Vortex
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