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CISM International Centre for Mechanical Sciences

Efficient High-Order Discretizations for Computational Fluid Dynamics

Editors: Kronbichler, Martin, Persson, Per-Olof (Eds.)

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  • 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
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eBook 128,39 €
price for Spain (gross)
  • ISBN 978-3-030-60610-7
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-030-60609-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

Martin Kronbichler is a researcher at the Institute for Computational Mechanics, Technical University of Munich, Germany. His current research focus is on efficient high-order discontinuous Galerkin schemes and fast iterative solvers for flow problems as a PI in the exascale project ExaDG within the German exascale priority program SPPEXA.

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.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • The Discontinuous Galerkin Method: Derivation and Properties

    Pages 1-55

    Kronbichler, Martin

  • High-Performance Implementation of Discontinuous Galerkin Methods with Application in Fluid Flow

    Pages 57-115

    Kronbichler, Martin

  • Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier–Stokes Equations

    Pages 117-196

    Winters, Andrew R. (et al.)

  • $$\mathbf {p}$$-Multigrid High-Order Discontinuous Galerkin Solution of Compressible Flows

    Pages 197-238

    Colombo, A. (et al.)

  • High-Order Accurate Time Integration and Efficient Implicit Solvers

    Pages 239-259

    Persson, Per-Olof

Buy this book

eBook 128,39 €
price for Spain (gross)
  • ISBN 978-3-030-60610-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-3-030-60609-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

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
Series Volume
602
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
CISM International Centre for Mechanical Sciences, Udine
eBook ISBN
978-3-030-60610-7
DOI
10.1007/978-3-030-60610-7
Hardcover ISBN
978-3-030-60609-1
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 311
Number of Illustrations
32 b/w illustrations, 56 illustrations in colour
Topics