Vortex in cell method for exterior problems

The "vortex in cell" method was used to model the flow past a solid body. Problems connected with flows past a body belong to the category of exterior problems. The main difficulty here is to establish the boundary condition far from the body, to solve equations of motion on the numerical mesh. The mesh requires a limited calculation area and the boundary condition far from the body. A method of obtaining the accurate boundary condition in such flows was presented. Testing calculations were performed for the flow past a cylinder for a wide range of Reynolds numbers. The flow past an ellipse was also performed. A good agreement with experimental results and calculations of other researchers was obtained.