Parallel Computation of a Two-Dimensional Flow Field Using the MAC Methods.

This paper describes the basic issues in parallel computation of computational fluid dynamics (CFD) which are analyzed with a parallel computer. The parallel computer used is a cellular array processor called the AP 1000, operated by Fujitsu Parallel Computing Research Facilities. This paper is concerned with the adaptation of a Poisson equation solver, based on the successive over-relaxation method (SOR), to parallel computation. The convergence and relaxation factors of the SOR and the Red-Black SOR are examined. The optimum relaxation factor of the SOR decreases in the parallel computation ; while a high value of relaxation factor can be retained in the Red-Black SOR. Consequently, the Red-Black SOR is found to be a more effective solver in parallel computation. The present paper deals with parallel computation by means of the MAC. SMAC and HSMAC methods applied to a cavity flow. The computed field is decomposed into several domains. Each domain is assigned to one processor. With the methods tested, a high efficiency could be obtained by the present algorithms.