portable parallel flow solver package for multiple applications. In terms of efficiency, we want the solver to have
The development and applications of a parallel, time-dependent incompressible Navier-Stokes flow solver and a parallel multigrid high numerical efficiency, as well as parallel computing elliptic kernel are described.The flow solver is based on a secondefficiency, which is the reason to use a parallel multigrid order projection method applied to a staggered finite-difference elliptic kernel as a convergence accelerator for the parallel grid. The multigrid algorithms inplemented in the parallel elliptic flow solver. Flexibility and portability have been emphakernel, which is needed by the flow solver, are V-cycle and full V-cycle schemes. A grid-partition strategy is used in the parallel sized throughout our design and implementation of the implementations of both the flow solver and the multigrid elliptic solver package. We want to develop the solver package so kernel on all fine and coarse grids. Numerical experiments and that it can be used either as a stand-alone flow solver for parallel performance tests show the parallel solver package is nuseveral types of flow problems or as a flow solver template merically stable, physically robust, and computationally efficient. Both the multigrid elliptic kernel and the flow solver scale very well which can be modified or expanded by the user for a speto a large number of processors on Intel Paragon and Cray T3D for cific application. A reusable or template partial differential computations with moderate granularity. The solver package has equation (PDE) solver, in our view, is a PDE solver packbeen carefully designed and coded so that it can be easily adapted age that can be adapted or expanded to solving a variety to solving a variety of interesting two-and three-dimensional flow of problems using different (component) numerical problems. The solver package is portable to parallel systems that support MPI, PVM, and NX for interprocessor communicaschemes as needed without a major rewriting of the tions.