Overview
- Provides a comprehensive insight into the state-of-the-art and selected research directions of a particular class of high-order methods for CFD, the discontinuous Galerkin (DG) methods
- Introduces modern high-order methods for computational fluid dynamics
- Written by leading experts in the field
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 602)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict.
The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Editors and Affiliations
About the editors
Per-Olof Persson is an assistant professor in mathematics at the University of California in Berkeley, USA. He is the author of more than 100 scientific papers on various aspects of high-order methods, in particular on implicit solvers and mesh generation. His work has been central for the advancement of discontinuous Galerkin methods in computational fluid dynamics, including fluid-structure interaction.
Bibliographic Information
Book Title: Efficient High-Order Discretizations for Computational Fluid Dynamics
Editors: Martin Kronbichler, Per-Olof Persson
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-030-60610-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: CISM International Centre for Mechanical Sciences, Udine 2021
Hardcover ISBN: 978-3-030-60609-1Published: 05 January 2021
Softcover ISBN: 978-3-030-60612-1Published: 06 January 2022
eBook ISBN: 978-3-030-60610-7Published: 04 January 2021
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: VII, 311
Number of Illustrations: 32 b/w illustrations, 56 illustrations in colour
Topics: Engineering Fluid Dynamics, Computational Mathematics and Numerical Analysis, Solid Mechanics