Flux-Corrected Transport: Principles, Algorithms, and Applications

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Dmitri Kuzmin, Rainald Löhner, Stefan Turek
Springer Science & Business Media, Apr 2, 2012 - Science - 452 pages
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
Algebraic Flux Correction III
239
Algebraic Flux Correction and Geometric Conservation in ALE Computations
299
ConstrainedOptimization Based Data Transfer
345
An Evaluation of a Structured Overlapping Grid Implementation of FCT for HighSpeed Flows
399
Index
447
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