A parallel implementation of the random vortex method

Abstract We report on a parallel implementation of the random vortex method for viscous, incompressible flow. The code is implemented on the Connection Machine CM-2, a massively parallel processor, and allows the simulation of two-dimensional flow in arbitrary rectilinear geometries. The efficient execution of this method on the Connection Machine results from a parallel N -body solver, parallel elliptic solvers, and a parallel data structure for the adaptive creation of computational elements on the boundary of the confining region.