Journal of Theoretical
and Applied Mechanics
42, 2, pp. 223-238, Warsaw 2004
Random vortex method for three dimensional flows. Part II: Numerical implementation and sample results
Continuation of the first part of the paper focuses on implementation issues, computational efficiency and presentation of test calculations. Sample results have been obtained for a viscous flow past a spherical body immersed in an uniform stream. The solution algorithm for the external Neumann boundary problem, the construction of the vortex particles near the material boundary and the evaluation of the stretching effect are described in some details. The problem of design of efficient algorithms for induced velocity computation is discussed briefly. The presented results include patterns of instantaneous velocity and vorticity field as well as selected streamlines showing the complexity of flow near the aft part of the body and inside the aerodynamic wake.
Keywords: vortex methods; vortex stretching; Fokker-Planck-Kolmogorow equation; Itô stochastic differential equations