Flux Corrected Transport
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Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-02
Flux Corrected Transport written by Dmitri Kuzmin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-02 with Science categories.
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.
Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer
Release Date : 2014-05-09
Flux Corrected Transport written by Dmitri Kuzmin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Science categories.
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.
Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-30
Flux Corrected Transport written by Dmitri Kuzmin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-30 with Science categories.
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.
Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Flux Corrected Transport written by Dmitri Kuzmin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
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. TOC:The Conception, Gestation, Birth and Infancy of FCT.- On the Design of Flux-Corrected Transport Algorithms.- 30 Years of FCT: Status and Directions; On Monotonically Integrated Large Eddy Simulation of Turbulent Flows Based on FCT Algorithms.- Large Scale Urban Simulation with FCT.- Algebraic Flux Correction I. Scalar Conservation Laws.- Algebraic Flux Correction II. Compressible Euler Equations.- Algebraic Flux Correction III. Incompressible Flow Problems
Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-27
Flux Corrected Transport written by Dmitri Kuzmin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-27 with Science categories.
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.
Shock Capturing Using Flux Corrected Transport Algorithms With Adaptive Gridding
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Author :
language : en
Publisher:
Release Date : 1981
Shock Capturing Using Flux Corrected Transport Algorithms With Adaptive Gridding written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Algorithms categories.
A numerical technique has been developed for capturing complex, nonsteady shock structures in multidimensions. The technique relies on moving the computational mesh with the shock wave so that the features of principal interest appear approximately stationary. The method has been implemented using coordinate-split Flux-Corrected Transport (FCT) algorithms which allow the mesh to evolve arbitrarily with respect to the fluid in each coordinate. The grid may thus be optimized in response to the needs of a given problem. Synchronizing the grid and fluid motions permits significant reduction of numerical transients and eliminates numerical diffusion. Shocks develop naturally, with no fitting. The method is illustrated by calculating complex, two-dimensional Mach reflection phenomena associated with airblasts and shock diffraction on wedges. The numerical results are in good agreement with available experimental data. (Author).
A One Dimensional Flux Corrected Transport Code For Detonation Calculations
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Author : David Allen Jones
language : en
Publisher:
Release Date : 1990
A One Dimensional Flux Corrected Transport Code For Detonation Calculations written by David Allen Jones and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Detonation waves categories.
Finite Difference Techniques For Vectorized Fluid Dynamics Calculations
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Author : D. L. Book
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Difference Techniques For Vectorized Fluid Dynamics Calculations written by D. L. Book and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book describes several finite-difference techniques developed recently for the numerical solution of fluid equations. Both convective (hyperbolic) equations and elliptic equations (of Poisson's type) are discussed. The em phasis is on methods developed and in use at the Naval Research Laboratory, although brief descriptions of competitive and kindred techniques are included as background material. This book is intended for specialists in computational fluid dynamics and related subjects. It includes examples, applications and source listings of program modules in Fortran embodying the methods. Contents Introduction 1 (D. L. Book) 2 Computational Techniques for Solution of Convective Equations 5 (D. L. Book and J. P. Boris) 2. 1 Importance of Convective Equations 5 2. 2 Requirements for Convective Equation Algorithms 7 2. 3 Quasiparticle Methods 10 2. 4 Characteristic Methods 13 2. 5 Finite-Difference Methods 15 2. 6 Finite-Element Methods 20 2. 7 Spectral Methods 23 3 Flux-Corrected Transport 29 (D. L. Book, J. P. Boris, and S. T. Zalesak) 3. 1 Improvements in Eulerian Finite-Difference Algorithms 29 3. 2 ETBFCT: A Fully Vectorized FCT Module 33 3. 3 Multidimensional FCT 41 4 Efficient Time Integration Schemes for Atmosphere and Ocean Models 56 (R. V. Madala) 4. 1 Introduction 56 4. 2 Time Integration Schemes for Barotropic Models 58 4. 3 Time Integration Schemes for Baroclinic Models 63 4. 4 Extension to Ocean Models 70 David L. Book, Jay P. Boris, and Martin J. Fritts are from the Laboratory for Computational Physics, Naval Research Laboratory, Washington, D. C.
Finite Element Flux Corrected Transport Fem Fct For The Euler And Navier Stokes Equations
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Author :
language : en
Publisher:
Release Date : 1987
Finite Element Flux Corrected Transport Fem Fct For The Euler And Navier Stokes Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Fluid mechanics categories.
Physics Compatible Finite Element Methods For Scalar And Tensorial Advection Problems
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Author : Christoph Lohmann
language : en
Publisher: Springer Nature
Release Date : 2019-10-14
Physics Compatible Finite Element Methods For Scalar And Tensorial Advection Problems written by Christoph Lohmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-14 with Mathematics categories.
Christoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on new limiting techniques designed to control the range of solution values for advected scalar quantities or the eigenvalue range of symmetric tensors. The author performs a detailed case study for the Folgar-Tucker model of fiber orientation dynamics. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model.