Multiphase Lattice Boltzmann Methods

Theory and Application

Author: Haibo Huang,Michael Sukop,Xiyun Lu

Publisher: John Wiley & Sons

ISBN: 1118971442

Category: Science

Page: 392

View: 5690

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.

The Lattice Boltzmann Equation

For Complex States of Flowing Matter

Author: Sauro Succi

Publisher: Oxford University Press

ISBN: 0192538853

Category: Science

Page: 784

View: 7817

Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation), to industrial, environmental, biological, and medical sciences. Complex states of flowing matter are equally present in fundamental physical processes, far remote from our direct senses, such as quantum-relativistic matter under ultra-high temperature conditions (quark-gluon plasmas). Capturing the complexities of such states of matter stands as one of the most prominent challenges of modern science, with multiple ramifications to physics, biology, mathematics, and computer science. As a result, mathematical and computational techniques capable of providing a quantitative account of the way that such complex states of flowing matter behave in space and time are becoming increasingly important. This book provides a unique description of a major technique, the Lattice Boltzmann method to accomplish this task. The Lattice Boltzmann method has gained a prominent role as an efficient computational tool for the numerical simulation of a wide variety of complex states of flowing matter across a broad range of scales; from fully-developed turbulence, to multiphase micro-flows, all the way down to nano-biofluidics and lately, even quantum-relativistic sub-nuclear fluids. After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this text provides a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines. Included are recent developments of Lattice Boltzmann methods for non-ideal fluids, micro- and nanofluidic flows with suspended bodies of assorted nature and extensions to strong non-equilibrium flows beyond the realm of continuum fluid mechanics. In the final part, it presents the extension of the Lattice Boltzmann method to quantum and relativistic matter, in an attempt to match the major surge of interest spurred by recent developments in the area of strongly interacting holographic fluids, such as electron flows in graphene.

Lattice Boltzmann Method and Its Applications in Engineering

Author: Zhaoli Guo,Chang Shu

Publisher: World Scientific

ISBN: 9814508314

Category: Technology & Engineering

Page: 420

View: 3045

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh. This book will cover the fundamental and practical application of LBM. The first part of the book consists of three chapters starting form the theory of LBM, basic models, initial and boundary conditions, theoretical analysis, to improved models. The second part of the book consists of six chapters, address applications of LBM in various aspects of computational fluid dynamic engineering, covering areas, such as thermo-hydrodynamics, compressible flows, multicomponent/multiphase flows, microscale flows, flows in porous media, turbulent flows, and suspensions. With these coverage LBM, the book intended to promote its applications, instead of the traditional computational fluid dynamic method. Contents:IntroductionInitial and Boundary Conditions for Lattice Boltzmann MethodImproved Lattice Boltzmann ModelsSample Applications of LBE for Isothermal FlowsLBE for Low Speed Flows with Heat TransferLBE for Compressible FlowsLBE for Multiphase and Multi-component FlowsLBE for Microscale Gas FlowsOther Applications of LBE Readership: Graduate students, researchers and academics in the field of mechanical engineering, fluid mechanics, MEMS/NEMS, computational physics and applied mathematics. Keywords:Lattice Boltzmann Equation;Kinetic Theory;Computational Fluid Dynamics;Micro Flows;Multiphase Flows

Multiphase Flow

Theory and Applications

Author: P. Vorobieff,C. A. Brebbia

Publisher: WIT Press

ISBN: 1784663115

Category: Science

Page: 466

View: 8156

The selected papers contained in this book present the latest research in one of the most challenging, yet most universally applicable areas of technology. Multiphase flows are found in all areas of technology and the range of related problems of interest is vast, including many areas of science and engineering. Recently multiphase fluid dynamics have generated a great deal of attention, leading to many notable advances in experimental, analytical and numerical studies. It is perhaps, however, work on numerical solutions which is the most noticeable owing to the continuing improvements in computer software tools. Progress in numerical methods has permitted the solution of many practical problems, helping to improve our understanding of the physics involved. The presented papers illustrate the close interaction between numerical modellers and researchers working to gradually resolve the many outstanding issues in our understanding of multiphase flow.

The Lattice Boltzmann Method

Principles and Practice

Author: Timm Krüger,Halim Kusumaatmaja,Alexandr Kuzmin,Orest Shardt,Goncalo Silva,Erlend Magnus Viggen

Publisher: Springer

ISBN: 3319446495

Category: Science

Page: 694

View: 8437

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.

Lattice Gas Methods

Theory, Applications, and Hardware

Author: Gary D. Doolen

Publisher: MIT Press

ISBN: 9780262540636

Category: Science

Page: 339

View: 8059

This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations. The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.

Theoretische Physik

Author: Matthias Bartelmann,Björn Feuerbacher,Timm Krüger,Dieter Lüst,Anton Rebhan,Andreas Wipf

Publisher: Springer-Verlag

ISBN: 3642546188

Category: Science

Page: 1315

View: 3000

Die Grundlagen der theoretischen Physik in einem Band – das bietet Ihnen das vorliegende Buch. Sechs in Forschung und Lehre erfahrene Autoren aus Deutschland und Österreich stellen die vier großen Gebiete Mechanik, Elektrodynamik, Quantenmechanik sowie Thermodynamik und Statistische Physik dar. Die besondere Stärke dieses Buches liegt darin, dass es in vielfältigen Querverweisen die inneren Zusammenhänge zwischen diesen Gebieten zeigt. Die Kapitel sind sorgfältig aufeinander abgestimmt, beziehen sich aufeinander, verwenden eine möglichst einheitliche Notation und lassen diese vier Gebiete nicht nur jedes für sich entstehen, sondern vermitteln auch einen zusammenhängenden Überblick über die gesamte Grundlage der theoretischen Physik. Übersichtlich und grafisch ansprechend gegliedert, mit über 500 klaren und verständlichen Abbildungen versehen, bieten alle Kapitel ausführlich vorgerechnete Beispiele, begleitet von insgesamt fast 700 Verständnisfragen, Ausblicken in weiterführende Überlegungen sowie von mehr als 300 Übungsaufgaben mit kommentierten Lösungen. Der Inhalt des Buchs orientiert sich an den Bachelor- und Masterstudiengängen großer Universitäten in Deutschland, Österreich und der Schweiz und deckt den behandelten Stoff möglichst umfassend ab. Die langjährige und vielfach hervorragend bewertete Lehrerfahrung der Autoren ist hier in einem Buch kondensiert, das Sie nicht nur durch Ihr gesamtes Bachelor-Studium, sondern weit in Ihr Masterstudium hinein begleiten wird. Dieses Werk wurde ergänzt um mathematische Beiträge der beliebten Bestseller-Autoren Florian Modler und Martin Kreh.

Lattice Boltzmann Method

Fundamentals and Engineering Applications with Computer Codes

Author: A. A. Mohamad

Publisher: Springer Science & Business Media

ISBN: 9780857294555

Category: Science

Page: 178

View: 1917

Lattice Boltzmann Method introduces the lattice Boltzmann method (LBM) for solving transport phenomena – flow, heat and mass transfer – in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as: flow in isothermal and non-isothermal lid driven cavities; flow over obstacles; forced flow through a heated channel; conjugate forced convection; and natural convection. Diffusion and advection-diffusion equations are discussed with applications and examples, and complete computer codes accompany the coverage of single and multi-relaxation-time methods. Although the codes are written in FORTRAN, they can be easily translated to other languages, such as C++. The codes can also be extended with little effort to multi-phase and multi-physics, if the reader knows the physics of the problem. Readers with some experience of advanced mathematics and physics will find Lattice Boltzmann Method a useful and easy-to-follow text. It has been written for those who are interested in learning and applying the LBM to engineering and industrial problems and it can also serve as a textbook for advanced undergraduate or graduate students who are studying computational transport phenomena.

Theoretische Physik 2 | Elektrodynamik

Author: Matthias Bartelmann,Björn Feuerbacher,Timm Krüger,Dieter Lüst,Anton Rebhan,Andreas Wipf

Publisher: Springer-Verlag

ISBN: 3662561174

Category: Science

Page: 352

View: 3097

Das beliebte Buch Theoretische Physik wird jetzt erstmalig in korrigierter und ergänzter Form in Einzelbänden angeboten. Das ermöglicht den Studierenden, die handlichen Bände zum Lernen, Aufgabenlösen und zum schnellen Nachschlagen leichter mitnehmen und nutzen zu können. Gleichzeitig wird die gesamte theoretische Physik des Bachelorstudiums (und darüber hinaus) in den vier Bänden aufeinander abgestimmt präsentiert. Das vorliegende Buch ist der zweite Teil der vierbändigen Reihe und deckt den Lehrstoff der Bachelorvorlesung zur Elektrodynamik großer Universitäten in Deutschland, Österreich und der Schweiz möglichst umfassend ab. Die besondere Stärke dieser Reihe liegt darin, den Leser mit einer Vielzahl von didaktischen Elementen beim Lernen zu unterstützen: -Alle Kapitel werden mit grundsätzlichen Fragen eingeleitet -Wichtige Aussagen, Formeln und Definitionen sind übersichtlich hervorgehoben -Beispiele regen zum Aktivwerden an -Selbstfragen helfen dem Leser, den behandelten Stoff zu reflektieren -„So geht’s weiter“-Abschnitte, beispielsweise über nichtlineare Elektrodynamik und effektive Feldtheorien ermöglichen einen Blick über den Tellerrand und geben Einblicke in aktuelle Forschung -Anhand ausführlich gelöster Aufgaben kann das Gelernte überprüft und gefestigt werden -Mathematische Boxen sind zum schnellen Nachschlagen herausgehoben -Alle Bände sind durchgehend vierfarbig und mit übersichtlichen Grafiken gestaltet. Die Autoren haben ihre langjährige und vielfach hervorragend bewertete Lehrerfahrung in das Werk einfließen lassen. Darüber hinaus gelingt es ihnen, die Zusammenhänge in der Theoretischen Physik auch bandübergreifend klar werden zu lassen. Der Inhalt Die Maxwell-Gleichungen – Elektrostatik – Vollständige Funktionssysteme: Fourier-Transformation und Multipolentwicklung – Elektrische Felder in Materie – Magnetismus und elektrische Ströme – Ausbreitung elektromagnetischer Wellen – Optik – Relativistische Formulierung der Elektrodynamik – Abstrahlung elektromagnetischer Wellen – Lagrange- und Hamilton-Formalismus in der Elektrodynamik

Molekulare Gasdynamik

Einführung in die kinetische Theorie der Gase und Lattice-Boltzmann-Methoden

Author: Dieter Hänel

Publisher: Springer-Verlag

ISBN: 3540350470

Category: Science

Page: 223

View: 6034

Trotz der Komplexität der Materie ist dieses Buch nicht mathematisch überfrachtet. Phänomenologische Ansätze aus der Strömungsmechanik und Thermodynamik werden mittels kinetischer Gastheorie einfach einsichtig erklärt und qualitativ hergeleitet. Der Autor leitet Gleichungen der Strömungsmechanik sowie Lösungsansätze für Strömungsprobleme konsequent ab und interpretiert ihre Gültigkeit.

Modeling Approaches to Natural Convection in Porous Media

Author: Yan Su,Jane H Davidson

Publisher: Springer

ISBN: 3319142372

Category: Business & Economics

Page: 47

View: 6771

This book provides an overview of the field of flow and heat transfer in porous medium and focuses on presentation of a generalized approach to predict drag and convective heat transfer within porous medium of arbitrary microscopic geometry, including reticulated foams and packed beds. Practical numerical methods to solve natural convection problems in porous media will be presented with illustrative applications for filtrations, thermal storage and solar receivers.

Strömungsmechanik nichtnewtonscher Fluide

Author: Gert Böhme

Publisher: Springer-Verlag

ISBN: 3322801403

Category: Science

Page: 352

View: 9042

Die Grundlagen und Methoden, die zur theoretischen Modellierung und zur Analyse von Strömungsvorgängen mit nicht-newtonschen Fluiden erforderlich sind, werden in diesem Lehrbuch vorgestellt. Zunächst werden die kinematischen, die kontinuumsmechanischen und die stofflichen Grundlagen ausführlich erläutert. Die Anwendung des Basiswissens erfolgt exemplarisch anhand ausgewählter Strömungsvorgänge, die maßgeblich von den nichtlinearen Fließeigenschaften, von den Normalspannungsdifferenzen oder vom Gedächtnis der Flüssigkeiten beeinflusst werden. Dabei haben sich die Inhalte, die Schwerpunkte und die Beispiele gegenüber der ersten Auflage wesentlich geändert. Erstmalig in einem deutschsprachigen Lehrbuch werden auch die Grundzüge einer numerischen Strömungssimulation unter Berücksichtigung komplexer rheologischer Stoffmodelle behandelt.

Parallel Computational Fluid Dynamics 2005

Theory and Applications

Author: A. Deane,Gunther Brenner,David R. Emerson,James McDonough,Damien Tromeur-Dervout,N. Satofuka,A. Ecer,Jacques Periaux

Publisher: Elsevier

ISBN: 9780080467931

Category: Science

Page: 538

View: 1181

The proceedings from Parallel CFD 2005 covering all aspects of the theory and applications of parallel computational fluid dynamics from the traditional to the more contemporary issues. - Report on current research in the field in an area which is rapidly changing - Subject is important to all interested in solving large fluid dynamics problems - Interdisciplinary activity. Contributions include scientists with a variety of backgrounds

Vorlesungen Über Gastheorie

Author: Ludwig Boltzmann

Publisher: Wentworth Press

ISBN: 9780270046120


Page: 212

View: 1891

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Analysis of Lattice-Boltzmann Methods

Asymptotic and numeric investigation of a singularly perturbed system

Author: Martin Rheinländer

Publisher: GRIN Verlag

ISBN: 3638784754

Category: Mathematics

Page: 377

View: 6733

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 a discussion of stability. Apart from proving stability for several cases entailing convergence as byproduct, the spectrum of the evolution operator is examined. Based on this, it is shown that the CFL-condition is necessary and sufficient for stability in the case of a two population algorithm discretizing the advection equation. Furthermore, the presentation touches upon the question whether reliable stability statements can be obtained by rather formal arguments. To gather experience and prepare future work, numeric boundary layers are analyzed in the context of a finite difference discretization for the one-dimensional Poisson equation.

Transportvorgänge in der Verfahrenstechnik

Grundlagen und apparative Umsetzungen

Author: Matthias Kraume

Publisher: Springer-Verlag

ISBN: 3642189369

Category: Technology & Engineering

Page: 613

View: 3533

Die modulare Struktur der Verfahrenstechnik, die die Rückführung komplexer Fragestellungen auf vergleichsweise einfache und mathematisch leicht zu erfassende Grundlagen ermöglicht, wird in diesem Fachbuch herausgearbeitet. Die Anwendung dieses "verfahrenstechnischen Baukastens" wird durch die aufeinander folgende Darstellung der Grundlagen für einfache Geometrien und daran anschließend die technische Umsetzung in vergleichsweise komplexe Apparate erläutert. Damit wird zum einen ein Wissensfundament bis in die technische Realisierung gelegt und zum anderen die grundsätzliche Lösungsfindung für die eigenen spezifischen Probleme des beruflichen Alltags trainiert und eine entsprechende Lösungskompetenz aufgebaut. Im Gegensatz zu vielen anderen Büchern im Bereich der Verfahrenstechnik wird hier keine Einteilung nach mechanischer, thermischer und chemischer Verfahrenstechnik vorgenommen, sondern die physikalischen Grundlagen werden allgemein und damit übergreifend erläutert und können dann auf die jeweiligen spezifischen Anwendungen übernommen werden. Daher eignet sich dieses Buch auch hervorragend für diejenigen, die sich in ihrer beruflichen Praxis nicht tagtäglich mit den hier beschriebenen Problemstellungen beschäftigen.