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Efficient implementation of high-order accurate numerical methods on unstructured grids

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This thesis focuses on the development of high-order finite volume methods and discontinuous Galerkin methods, and presents possible solutions to a number of important and common problems encountered in high-order methods, such as the shock-capturing strategy and curved boundary treatment, then applies these methods to solve compressible flows.

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Efficient implementation of high-order accurate numerical methods on unstructured grids, Wanai Li

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2014
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