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 appl...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Li, Wanai (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-3-662-43432-1
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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.