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.
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.
Introduction.- High Order Finite Volume Method for the Compressible Flows.- Accuracy-Preserving Limiters for High Order Finite Volume Methods.- Mixed Element and Curved Boundary Treatment.- The Discontinuous Galerkin Method.- Conclusions and Prospects.
Introduction.- High Order Finite Volume Method for the Compressible Flows.- Accuracy-Preserving Limiters for High Order Finite Volume Methods.- Mixed Element and Curved Boundary Treatment.- The Discontinuous Galerkin Method.- Conclusions and Prospects.
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