PARALLEL-PROCESSING SCHEME FOR THE NAVIER-STOKES EQUATIONS - PART 1 -SCHEME DEVELOPMENT

Using a lower and upper decomposition procedure, an implicit parallel processing scheme for the compressible Navier-Stokes equations is deve loped. In this scheme, the solution for a multidimensional problem is obtained by the superposition of two independent solution cycles. Beca use of the independence of these two solutions, they can be performed on separate processors simultaneously. To confirm the analytical devel opments, numerical results are obtained using the proposed scheme and compared with other available solutions and experimental data. A study of other characteristics of the proposed scheme such as stability, sy mmetry preserving, and effects of domain decomposition on convergence and stability is also conducted.