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

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.

List of contents

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.

Summary

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.

Product details

• Authors: Wanai Li
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 22.04.2014
• EAN: 9783662434314
• ISBN: 978-3-662-43431-4
• No. of pages: 148
• Dimensions: 161 mm x 242 mm x 13 mm
• Weight: 391 g
• Illustrations: XV, 148 p. 100 illus., 11 illus. in color.
• Series: Springer Theses; Springer Theses
• Subject: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering