Abstract
The three-dimensional vortex-in-cell method has been extended to allow for the numerical simulation of plane layers of vortical fluid bounded on each side by a semi-infinite domain of unsteady potential flow. Exact boundary conditions for Poisson’s equation for the velocity field were derived for the computational domain enclosing all vorticity-containing fluid. A variational principle with quadratic spline basis functions was used to derive the finite pentadiagonal systems that discretize the differential equations.
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