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Flux-Corrected Transport

Principles, Algorithms, and Applications

  • Book
  • © 2012

Overview

Editors:
  1. Dmitri Kuzmin

    1. , Chair of Applied Mathematics III, University of Erlangen-Nuremberg, Erlangen, Germany

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  2. Rainald Löhner

    1. , School of Computational Sciences, George Mason University, Fairfax, USA

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  3. Stefan Turek

    1. Institute of Applied Mathematics, LS III, Dortmund University of Technology, Dortmund, Germany

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  • 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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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XX
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  2. The Conception, Gestation, Birth, and Infancy of FCT

    • David L. Book
    Pages 1-21

  3. The Design of Flux-Corrected Transport (FCT) Algorithms for Structured Grids

    • Steven T. Zalesak
    Pages 23-65

  4. On Monotonically Integrated Large Eddy Simulation of Turbulent Flows Based on FCT Algorithms

    • Fernando F. Grinstein, Christer Fureby
    Pages 67-90

  5. Large Scale Urban Simulations with FCT

    • Gopal Patnaik, Jay P. Boris, Fernando F. Grinstein, John P. Iselin, Denise Hertwig
    Pages 91-117

  6. 40 Years of FCT: Status and Directions

    • Rainald Löhner, Joseph D. Baum
    Pages 119-143

  7. Algebraic Flux Correction I

    • Dmitri Kuzmin
    Pages 145-192

  8. Algebraic Flux Correction II

    • Dmitri Kuzmin, Matthias Möller, Marcel Gurris
    Pages 193-238

  9. Algebraic Flux Correction III

    • Stefan Turek, Dmitri Kuzmin
    Pages 239-297

  10. Algebraic Flux Correction and Geometric Conservation in ALE Computations

    • Guglielmo Scovazzi, Alejandro López Ortega
    Pages 299-343

  11. Constrained-Optimization Based Data Transfer

    • Pavel Bochev, Denis Ridzal, Guglielmo Scovazzi, Mikhail Shashkov
    Pages 345-398

  12. An Evaluation of a Structured Overlapping Grid Implementation of FCT for High-Speed Flows

    • J. W. Banks, J. N. Shadid
    Pages 399-446

  13. Back Matter

    Pages 447-451
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Keywords

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.

Editors and Affiliations

  • , Chair of Applied Mathematics III, University of Erlangen-Nuremberg, Erlangen, Germany

    Dmitri Kuzmin

  • , School of Computational Sciences, George Mason University, Fairfax, USA

    Rainald Löhner

  • Institute of Applied Mathematics, LS III, Dortmund University of Technology, Dortmund, Germany

    Stefan Turek

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