Abstract

A 3-D FEM/FDM composite scheme for viscous, incompressible flow problems is presented. It combines the finite element method, which is best suited to analyzed flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in terms of both computing time and memory requirement. The combination of both methods enables large-scale viscous flow to be analyzed, which is crucial both for detailed analysis of 3-D flows and for solving flow problems around moving bodies. A modified ABMAC method is used as the basic algorithm, to which a sophisticated time integration scheme, proposed by the present authors, has been applied. In this paper, flow around a sphere is analyzed both as a static problem and as a moving body problem and numerical results show good agreement with experimental results.

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