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Parallel Computation of the Compressible Navier-Stokes Equations with a Pressure-Correction Algorithm

A parallel algorithm for the solution of the 2D compressible Navier-Stokes equations has been developed and demonstrated on a distributed memory multicomputer. The algorithm represents an extension of an earlier parallel incompressible pressure correction algorithm developed by the author. The new algorithm features a revised formulation of the pressure correction equation that simultaneously updates both velocity and density to enforce continuity, and uses upwinding of the densities to allow shock capturing. The parallel implementation is based on a full two-dimensional domain decomposition. As in the earlier algorithm, an effective block correction procedure is found to be the key to high parallel efficiency. Results are obtained on a 32-node Intel iPSC/2VX hypercube for inviscid and viscous transonic flows in turbomachinery blade rows. Performance approaching 1/4 that of a single-processor Cray Y-MP is achieved.