Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids

ISBN-13: 9783662434314 / Angielski / Twarda / 2014 / 148 str.

Wanai Li

Opis

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.

Spis treści

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.