Efficient High-Order Discretizations for Computational Fluid Dynamics (CISM International Centre for Mechanical Sciences, 602) - Hardcover

Hardcover

ISBN 10: 3030606090 ISBN 13: 9783030606091

Publisher: Springer, 2021

Synopsis

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 this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030606090
• ISBN 13: 9783030606091
• Binding: Hardcover
• Edition number: 1
• Number of pages: 318
• Editor: Kronbichler Martin, Persson Per-Olof