Abstract
The goal of this work was to design new fast algorithms that could be used to solve fluid flows at all speeds by building upon the best approaches now available for solving very low speed flows and high speed flows. Furthermore the algorithms developed must be appropriate for use on complex moving geometries and for use with adaptive mesh refinement. The algorithms must also be extendible to chemically reacting (combustion) flows. To this end they have developed new methods for efficiently computing fluid problems that involve low-speed flows and problems that are a mixture of low-speed and high-speed flows. The algorithms have been implemented in 2D and 3D on moving overlapping grids and will be a fundamental component of the chemically reacting flow solvers that they are now developing for industrial applications.
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