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Author : Jan-Philipp Weiß
Publisher : Unknown
Page : 191 pages
File Size : 44,6 Mb
Release : 2006
Category : Electronic
ISBN : OCLC:315533128
Author : Martin Rheinländer
Publisher : GRIN Verlag
Page : 384 pages
File Size : 51,8 Mb
Release : 2007
Category : Electronic
ISBN : 9783638796064
Doctoral Thesis / Dissertation from the year 2007 in the subject Mathematics - Analysis, University of Constance (Fachbereich Mathematik & Statistik), 69 entries in the bibliography, language: English, abstract: Lattice-Boltzmann algorithms represent a quite novel class of numerical schemes, which are used to solve evolutionary partial differential equations (PDEs). In contrast to other methods (FEM, FVM), lattice-Boltzmann methods rely on a mesoscopic approach. The idea consists in setting up an artificial, grid-based particle dynamics, which is chosen such that appropriate averages provide approximate solutions of a certain PDE, typically in the area of fluid dynamics. As lattice-Boltzmann schemes are closely related to finite velocity Boltzmann equations being singularly perturbed by special scalings, their consistency is not obvious. This work is concerned with the analysis of lattice-Boltzmann methods also focusing certain numeric phenomena like initial layers, multiple time scales and boundary layers. As major analytic tool, regular (Hilbert) expansions are employed to establish consistency. Exemplarily, two and three population algorithms are studied in one space dimension, mostly discretizing the advection-diffusion equation. It is shown how these model schemes can be derived from two-dimensional schemes in the case of special symmetries. The analysis of the schemes is preceded by an examination of the singular limit being characteristic of the corresponding scaled finite velocity Boltzmann equations. Convergence proofs are obtained using a Fourier series approach and alternatively a general regular expansion combined with an energy estimate. The appearance of initial layers is investigated by multiscale and irregular expansions. Among others, a hierarchy of equations is found which gives insight into the internal coupling of the initial layer and the regular part of the solution. Next, the consistency of the model algorithms is considered followed by
Author : Sauro Succi,S. Succi
Publisher : Oxford University Press
Page : 789 pages
File Size : 48,9 Mb
Release : 2018
Category : Mathematics
ISBN : 9780199592357
An introductory textbook to Lattice Boltzmann methods in computational fluid dynamics, aimed at a broad audience of scientists working with flowing matter. LB has known a burgeoning growth of applications, especially in connection with the simulation of complex flows, and also on the methodological side.
Author : Die deutsche Nationalbibliothek
Publisher : Unknown
Page : 944 pages
File Size : 47,5 Mb
Release : 2007
Category : Electronic
ISBN : 16136438
Author : Roland Wynne Lewis,Kenneth Morgan,O. C. Zienkiewicz,B. A. Schrefler
Publisher : Unknown
Page : 598 pages
File Size : 55,8 Mb
Release : 1981
Category : Heat
ISBN : UOM:39015026506439
Author : Bengt Andersson,Ronnie Andersson,Love Håkansson,Mikael Mortensen,Rahman Sudiyo,Berend van Wachem
Publisher : Cambridge University Press
Page : 203 pages
File Size : 47,6 Mb
Release : 2011-12-22
Category : Technology & Engineering
ISBN : 9781139505567
Computational fluid dynamics, CFD, has become an indispensable tool for many engineers. This book gives an introduction to CFD simulations of turbulence, mixing, reaction, combustion and multiphase flows. The emphasis on understanding the physics of these flows helps the engineer to select appropriate models to obtain reliable simulations. Besides presenting the equations involved, the basics and limitations of the models are explained and discussed. The book combined with tutorials, project and power-point lecture notes (all available for download) forms a complete course. The reader is given hands-on experience of drawing, meshing and simulation. The tutorials cover flow and reactions inside a porous catalyst, combustion in turbulent non-premixed flow, and multiphase simulation of evaporation spray respectively. The project deals with design of an industrial-scale selective catalytic reduction process and allows the reader to explore various design improvements and apply best practice guidelines in the CFD simulations.
Author : Timm Krüger,Halim Kusumaatmaja,Alexandr Kuzmin,Orest Shardt,Goncalo Silva,Erlend Magnus Viggen
Publisher : Springer
Page : 694 pages
File Size : 50,9 Mb
Release : 2016-11-07
Category : Science
ISBN : 9783319446493
This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.
Author : Anonim
Publisher : Unknown
Page : 1036 pages
File Size : 44,5 Mb
Release : 1994
Category : Mechanics, Applied
ISBN : UIUC:30112046051782
Author : Michael C. Sukop,Daniel T. Thorne
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 45,9 Mb
Release : 2007-04-05
Category : Science
ISBN : 9783540279822
Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.
Author : Dieter A. Wolf-Gladrow
Publisher : Springer
Page : 314 pages
File Size : 51,9 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540465867
Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Author : Anonim
Publisher : Unknown
Page : 1524 pages
File Size : 46,5 Mb
Release : 2004
Category : Mathematics
ISBN : UVA:X006180727
Author : John Crank
Publisher : Oxford University Press
Page : 428 pages
File Size : 40,8 Mb
Release : 1979
Category : Mathematics
ISBN : 0198534116
Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Author : Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer
Publisher : SIAM
Page : 222 pages
File Size : 51,5 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 9780898713985
In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.
Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 53,9 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author : Haibo Huang,Michael Sukop,Xiyun Lu
Publisher : John Wiley & Sons
Page : 392 pages
File Size : 55,9 Mb
Release : 2015-06-08
Category : Science
ISBN : 9781118971444
Theory and Application of Multiphase Lattice Boltzmann Methods presents a comprehensive review of all popular multiphase Lattice Boltzmann Methods developed thus far and is aimed at researchers and practitioners within relevant Earth Science disciplines as well as Petroleum, Chemical, Mechanical and Geological Engineering. Clearly structured throughout, this book will be an invaluable reference on the current state of all popular multiphase Lattice Boltzmann Methods (LBMs). The advantages and disadvantages of each model are presented in an accessible manner to enable the reader to choose the model most suitable for the problems they are interested in. The book is targeted at graduate students and researchers who plan to investigate multiphase flows using LBMs. Throughout the text most of the popular multiphase LBMs are analyzed both theoretically and through numerical simulation. The authors present many of the mathematical derivations of the models in greater detail than is currently found in the existing literature. The approach to understanding and classifying the various models is principally based on simulation compared against analytical and observational results and discovery of undesirable terms in the derived macroscopic equations and sometimes their correction. A repository of FORTRAN codes for multiphase LBM models is also provided.