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Other titles in the Scientific Computation series:

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

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

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

In this step-by-step guide to numerical simulations of complex transport phenomena, now in an updated second edition, the authors provide an in-depth presentation of modern FCT algorithms as well as the range of criteria underlying their design.

Synopsis:

Many modern high-resolution schemes for Computational Fluid Dynamics trace their origins to the Flux-Corrected Transport (FCT) paradigm. FCT maintains monotonicity using a nonoscillatory low-order scheme to determine the bounds for a constrained high-order approximation. This book begins with historical notes by J.P. Boris and D.L. Book who invented FCT in the early 1970s. The chapters that follow describe the design of fully multidimensional FCT algorithms for structured and unstructured grids, limiting for systems of conservation laws, and the use of FCT as an implicit subgrid scale model. The second edition presents 200 pages of additional material. The main highlights of the three new chapters include: FCT-constrained interpolation for Arbitrary Lagrangian-Eulerian methods, an optimization-based approach to flux correction, and FCT simulations of high-speed flows on overset grids. Addressing students and researchers, as well as CFD practitioners, the book is focused on computational aspects and contains many numerical examples.

Table of Contents

The conception, gestation, birth and infancy of FCT.- The design of flux-corrected transport (FCT) algorithms for structured grids.- On monotonically integrated large eddy simulation of tubulent flows based on FCT algorithms.- Large scale urban simulations with FCT.- 30 years of FCT.- Algebraic flux corretion I.- Algebraic flux correction II.- Algebraic flux correction III.- Algebraic flux correction IV.- An evaluation of the FCT method for high-speed flows.- Flux-corrected and optimization-based remap.

Product Details

ISBN:
9789400740372
Author:
Kuzmin, Dmitri
Publisher:
Springer
Author:
Turek, Stefan
Author:
Lohner, Rainald
Subject:
Mathematical Physics
Subject:
Acceleration Explicit Solvers
Subject:
Algebraic flux correction Finite Elements
Subject:
Computational fluid dynamics
Subject:
Convection Dominated Flows
Subject:
Flux Corrected Interpolation Remapping
Subject:
Flux Corrected Transport
Subject:
High Resolution Schemes
Subject:
hyperbolic conservation laws
Subject:
Implicit Subgrid Scale Model for Large Eddy
Subject:
simulations
Subject:
Turbulence Model
Subject:
Numerical and Computational Physics
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Fluid- and Aerodynamics
Subject:
Mathematics-Applied
Copyright:
Edition Description:
2nd ed. 2012
Series:
Scientific Computation
Publication Date:
20120531
Binding:
HARDCOVER
Language:
English
Pages:
471
Dimensions:
235 x 155 mm

Related Subjects


» Science and Mathematics » Mathematics » Applied
» Science and Mathematics » Mathematics » Basics
» Science and Mathematics » Physics » Fluid Mechanics
» Science and Mathematics » Physics » Math

Flux-Corrected Transport: Principles, Algorithms, and Applications (Scientific Computation) New Hardcover
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$140.25 In Stock
Product details 471 pages Springer - English 9789400740372 Reviews:
"Synopsis" by , In this step-by-step guide to numerical simulations of complex transport phenomena, now in an updated second edition, the authors provide an in-depth presentation of modern FCT algorithms as well as the range of criteria underlying their design.
"Synopsis" by , Many modern high-resolution schemes for Computational Fluid Dynamics trace their origins to the Flux-Corrected Transport (FCT) paradigm. FCT maintains monotonicity using a nonoscillatory low-order scheme to determine the bounds for a constrained high-order approximation. This book begins with historical notes by J.P. Boris and D.L. Book who invented FCT in the early 1970s. The chapters that follow describe the design of fully multidimensional FCT algorithms for structured and unstructured grids, limiting for systems of conservation laws, and the use of FCT as an implicit subgrid scale model. The second edition presents 200 pages of additional material. The main highlights of the three new chapters include: FCT-constrained interpolation for Arbitrary Lagrangian-Eulerian methods, an optimization-based approach to flux correction, and FCT simulations of high-speed flows on overset grids. Addressing students and researchers, as well as CFD practitioners, the book is focused on computational aspects and contains many numerical examples.
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