High performance parallel preconditioning and linear equation solver for CFD applications

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Computational fluid dynamics (CFD) has proved to be an important enabling technology in many areas of science and engineering. Its relative maturity and the widespread successes of its application have been driven over the past 10--15 years by significant advances in both numerical methods for partial differential equations and the rapid increase in parallel high-performance computing (HPC) systems. Nevertheless, in order to exploit fully current and future parallel computing systems and enable the more routine solution of fluid flows for practical engineering applications, further advances in numerical methods and parallel algorithm design are generally needed. he goal of the proposed project is to improve on the existing and/or to develop a new high performance parallel preconditioner/linear equation iterative solver for use in the solution of typical linear systems produced by the temporal and spatial discretization schemes of the NIECE CFD solver and software package developed by MAYA Heat Transfer Technologies Ltd. (MAYA). The improved and/or new iterative solver should provide more rapid convergence and be more robust for the flow problems of interest, including solution of problem with meshes having high aspect ratios as frequently encountered in the prediction of high-Reynold-number boundary-layer flows. The improved and more robust parallel iterative solver will be implemented and integrated within NIECE for subsequent release.