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

• Main Author: Li, Wanai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Engineering.; Mechanics.; Mechanics, Applied.; Fluid mechanics.; Engineering Fluid Dynamics.; Theoretical and Applied Mechanics.

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 appl...

Table 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.