Incompressible Flow Solver of Arbitrarily Moving Bodies with Rigid Surface

Abstract

A general procedure of solving incompressible viscous flow around multiple moving bodies was developed. An overlapped unsteady grid system which consists of a stationary main grid and subgrids attached to each moving body was employed. The incompressible N-S equations were calculated over this grid system. As a numerical scheme, the convective terms were approximated by the generalized QUICK method. A semi-implicit second-order two-step method was devised for unsteady time integration. The pressure was accurately solved by the newly developed Neumann Poisson solver. To make the procedure global, a mask function was introduced instead of dividing the main grid into several subregions. Triangular interpolation was applied for data communication between each grid. The accuracy of the procedure was verified by examining the flow around an oscillating cylinder. An application to flows around several moving bodies with multiple overlapped regions was made, which ensured the versatility of the present procedure.