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Flux-Corrected Transport: Principles, Algorithms, and Applications (Scientific Computation)



Rok: 2005
ISBN: 9783540237303
OKCZID: 110176804

Citace (dle ČSN ISO 690):
TUREK, Stefan, ed., LÖHNER, Rainald, ed. a KUZMIN, D., ed. Flux-corrected transport: principles, algorithms, and applications. 1st ed. Berlin: Springer, c2005. xiv, 301 s. Scientific computation.


Anotace

 

Addressing students and researchers as well as practitioners of scientific computing, 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 a historical note by D.L. Book. Review articles then describe various algorithmic aspects (efficient implementation of the proposed high-resolution schemes, choice of parameters and other practical tips). The topics addressed in the book and its main highlights include: the derivation and analysis of classical FCT schemes emphasizing the physical and mathematical constraints as well as flux limiting for hyperbolic systems; its generalization to implicit time-stepping and finite element discretizations on unstructured meshes; applications to Monotonically Integrated Large Eddy Simulation (MILES) of turbulent flows and for designing alternative high-resolution schemes. Further material concerns clipping and terracing, the use of characteristic variables in multidimensions and the discussions on prelimiting/steepening, ?failsafe? adjustment, and iterative flux correction. Many numerical examples are presented as academic test problems and large-scale applications alike.


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