## Flux-Corrected Transport: Principles, Algorithms, and ApplicationsDmitri Kuzmin, Rainald Löhner, Stefan Turek 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. |

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### Contents

The Conception Gestation Birth and Infancy of FCT | 1 |

The Design of FluxCorrected Transport FCT Algorithms for Structured Grids | 23 |

On Monotonically Integrated Large Eddy Simulation of Turbulent Flows Based on FCT Algorithms | 67 |

Large Scale Urban Simulations with FCT | 91 |

Status and Directions | 119 |

Algebraic Flux Correction I | 145 |

Algebraic Flux Correction II | 193 |

### Other editions - View all

Flux-Corrected Transport: Principles, Algorithms, and Applications Dmitri Kuzmin,Rainald Löhner,Stefan Turek No preview available - 2012 |

Flux-Corrected Transport: Principles, Algorithms, and Applications Dmitri Kuzmin,Rainald Löhner,Stefan Turek No preview available - 2014 |

### Common terms and phrases

accuracy advection algebraic flux correction antidiffusive fluxes approach approximation Boris boundary conditions bounds cell coefficient compressible compressible flow Comput conservation laws constraints convection convergence rates defined density diffusion discontinuous discrete dissipation domain error Euler equations FCT algorithm FCT method feasible set finite element flow flux limiter Flux-Corrected Transport ﬂuxes function Galerkin geometry given global Godunov grid point high order fluxes high-order high-resolution schemes iFCR implementation implicit incompressible initial iterative Kuzmin Large Eddy Simulation level set level set method linear Löhner low-order scheme M-OBR FCR mesh motion Methods Fluids monotonicity multidimensional Navier-Stokes equations node nonlinear numerical optimization Phys physical preconditioner pressure problem remap resolution rezoning Riemann scalar Schur complement Scovazzi Sect shock shock tube simulation solution solver solving Springer Science+Business Media step timestep tion turbulent Turek unstructured grids values vector velocity Z-pinch