Flux-Corrected Transport

Principles, Algorithms, and Applications

  • Dmitri Kuzmin
  • Rainald Löhner
  • Stefan Turek

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-4
  2. Gopal Patnaik, Jay P. Boris, Fernando F. Grinstein, John P. Iselin
    Pages 105-130
  3. Rainald Löhner, Joseph D. Baum
    Pages 131-154
  4. Dmitri Kuzmin, Matthias Möller
    Pages 155-206
  5. Dmitri Kuzmin, Matthias Möller
    Pages 207-250
  6. Stefan Turek, Dmitri Kuzmin
    Pages 251-296
  7. Back Matter
    Pages 297-301

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.


Flux Corrected Transport Algorithms High Resolution Schemes Large Eddy Simulation algorithm algorithms computational fluid dynamics computer-aided design (CAD) development fluid dynamics model simulation transport

Editors and affiliations

  • Dmitri Kuzmin
    • 1
  • Rainald Löhner
    • 2
  • Stefan Turek
    • 1
  1. 1.Department of MathematicsUniversity of DortmundDortmundGermany
  2. 2.School of Computational SciencesGeorge Mason UniversityFairfaxUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment