Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Scientific Computation (SCIENTCOMP)
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Table of contents(8 chapters)
About this book
Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected Transport (FCT) paradigm. Intended for readers who have a solid background in computational fluid dynamics, the book begins with historical notes by J.P. Boris and D.L. Book. Review articles that follow describe recent advances in the design of FCT algorithms as well as various algorithmic aspects. The topics addressed in the book and its main highlights include: the derivation and analysis of classical FCT schemes, with special emphasis on the underlying physical and mathematical constraints; flux limiting for hyperbolic systems; generalization of FCT to implicit time-stepping and finite element discretizations on unstructured meshes and its role as a subgrid scale model for Monotonically Integrated Large Eddy Simulation (MILES) of turbulent flows. The proposed enhancements of the FCT methodology also comprise the prelimiting and 'failsafe' adjustment of antidiffusive fluxes, the use of characteristic variables, and iterative flux correction. The cause and cure of detrimental clipping/terracing effects are discussed. Many numerical examples are presented for academic test problems and large-scale applications alike.
Editors and Affiliations
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Department of Mathematics, University of Dortmund, Dortmund, Germany
Dmitri Kuzmin, Stefan Turek
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School of Computational Sciences, George Mason University, Fairfax, USA
Rainald Löhner
Bibliographic Information
Book Title: Flux-Corrected Transport
Book Subtitle: Principles, Algorithms, and Applications
Editors: Dmitri Kuzmin, Rainald Löhner, Stefan Turek
Series Title: Scientific Computation
DOI: https://doi.org/10.1007/b138754
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
eBook ISBN: 978-3-540-27206-9Published: 27 January 2006
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 1
Number of Pages: XIV, 302
Number of Illustrations: 99 b/w illustrations, 25 illustrations in colour
Topics: Numerical and Computational Physics, Simulation, Computational Science and Engineering, Classical and Continuum Physics, Fluid- and Aerodynamics, Computational Intelligence, Engineering Fluid Dynamics