An Unstructured-Grid, Parallel, Projection Solver for Computing Low-Speed Flows

This paper presents an overview of the issues associated with applying a domain-decomposition message-passing paradigm to the parallel implementation of both explicit and semi-implicit projection algorithms. The use of an element-based domain decomposition with an e cient solution strategy for the pressure eld is shown to yield a scalable, parallel solution method capable of treating complex ow problems where high-resolution grids are required. In addition, the use of an SSOR or Jacobi preconditioned conjugate gradient solver with an A-conjugate projection reduces the computational time for the solution of the pressure eld, and yields parallel e ciencies above 80% for computations with O(250) elements per processor. The parallel projection solver is veri ed using a series of 2-D and 3-D benchmarks designed to evaluate time-accurate ow solution methods. Finally, the extension of the projection algorithm to reacting ows is demonstrated for a time-dependent vortex-shedding problem.