Accuracy, Adaptive Methods and Complex Geometry

Abstract : We describe our approach to computing accurate solutions for time dependent fluid flows in complex geometry. We use regular, embedded, Cartesian grids wherever possible. We describe our adaptive mesh refinement algorithm and our strategy for treating geometric complexity using non-body-fitted Cartesian grids. The trade-offs of block-structured vs. unstructured data structures are presented. Several open problems are discussed that need to be resolved both to automate and improve the accuracy of computations.

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