Overview
- Offers a step-by-step guide to numerical simulations of complex transport phenomena
- Provides an in-depth presentation of modern FCT algorithms and underlying design criteria
- Publishes as the second edition of a successful volume, now with new generalizations supported by mathematical theory and physical principles
- As a self-contained text it is aimed at readers with diverse backgrounds and research interests
- Includes supplementary material: sn.pub/extras
Part of the book series: Scientific Computation (SCIENTCOMP)
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About this book
Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades.
In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.
In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.
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Keywords
- Acceleration Explicit Solvers
- Algebraic flux correction Finite Elements
- Computational Fluid Dynamics
- Convection Dominated Flows
- Flux Corrected Interpolation Remapping
- Flux Corrected Transport
- High Resolution Schemes
- Hyperbolic Conservation Laws
- Implicit Subgrid Scale Model for Large Eddy
- Simulations
- Turbulence Model
- fluid- and aerodynamics
Table of contents (11 chapters)
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Front Matter
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Back Matter
Editors and Affiliations
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/10.1007/978-94-007-4038-9
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2012
Hardcover ISBN: 978-94-007-4037-2Published: 02 April 2012
Softcover ISBN: 978-94-007-9729-1Published: 09 May 2014
eBook ISBN: 978-94-007-4038-9Published: 30 March 2012
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 2
Number of Pages: XX, 452
Topics: Numerical and Computational Physics, Simulation, Computational Mathematics and Numerical Analysis, Mathematical and Computational Engineering, Fluid- and Aerodynamics