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Progress in Computational Physics Volume 3: Novel Trends in Lattice-Boltzmann Methods

Author : Matthias Ehrhardt
Publisher : Bentham Science Publishers
Page : 284 pages
File Size : 31,75 MB
Release : 2013-06-18
Category : Science
ISBN : 160805716X

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Progress in Computational Physics is an e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computational perspectives of current physical challenges, new numerical techniques for the solution of mathematical wave equations and describes certain real-world applications. With the help of powerful computers and sophisticated methods of numerical mathematics it is possible to simulate many ultramodern devices, e.g. photonic crystals structures, semiconductor nanostructures or fuel cell stacks devices, thus preventing expensive and longstanding design and optimization in the laboratories. In this book series, research manuscripts are shortened as single chapters and focus on one hot topic per volume. Engineers, physicists, meteorologists, etc. and applied mathematicians can benefit from the series content. Readers will get a deep and active insight into state-of-the art modeling and simulation techniques of ultra-modern devices and problems. The third volume - Novel Trends in Lattice Boltzmann Methods - Reactive Flow, Physicochemical Transport and Fluid-Structure Interaction - contains 10 chapters devoted to mathematical analysis of different issues related to the lattice Boltzmann methods, advanced numerical techniques for physico-chemical flows, fluid structure interaction and practical applications of these phenomena to real world problems.

Novel Trends in Lattice-Boltzmann Methods

Author : Matthias Ehrhardt
Publisher : Progress in Comuptational Phys
Page : 280 pages
File Size : 49,13 MB
Release : 2013-06-18
Category : Science
ISBN : 9781608057177

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Progress in Computational Physics is a book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computational perspectives of current physical challenges, new numerical techniques for the solution of mathematical wave equations and describes certain real-world applications. With the help of powerful computers and sophisticated methods of numerical mathematics it is possible to simulate many ultramodern devices, e.g. photonic crystals structures, semiconductor nanostructures or fuel cell stacks devices, thus preventing expensive and longstanding design and optimization in the laboratories. In this book series, research manuscripts are shortened as single chapters and focus on one hot topic per volume. Engineers, physicists, meteorologists, etc. and applied mathematicians can benefit from the series content. Readers will get a deep and active insight into state-of-the art modeling and simulation techniques of ultra-modern devices and problems. The third volume - Novel Trends in Lattice Boltzmann Methods - Reactive Flow, Physicochemical Transport and Fluid-Structure Interaction - contains 09 chapters devoted to mathematical analysis of different issues related to the lattice Boltzmann methods, advanced numerical techniques for physico-chemical flows, fluid structure interaction and practical applications of these phenomena to real world problems.

Annual Reviews of Computational Physics IV

Author : Dietrich Stauffer
Publisher : World Scientific
Page : 408 pages
File Size : 26,97 MB
Release : 1996
Category : Science
ISBN : 9789810227531

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Quantum phenomena and methods are the core of this volume in our series which publishes rapidly reviews of topics in computational physics. In addition, we look at phase transitions in Ising lattices, in continuum fluids, polymer solutions, and end with biological ageing. As before, papers were submitted by e-mail, and these files were used directly to produce the book, for increased speed and reliability.

Annual Reviews of Computational Physics VII

Author : Dietrich Stauffer
Publisher : World Scientific
Page : 354 pages
File Size : 12,87 MB
Release : 2000
Category : Science
ISBN : 9789810240806

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The seventh volume of this invaluable series focuses an applications ? from Ising models to the formation of small clusters and phase ordering in fluids, to the structure of concrete, to the growth of cities built from it, to the traffic jams and the biology of life in the cities, and to the marketing of products to consumers. Thus the interdisciplinary research potential of computational physics is particularly well documented.

The Lattice Boltzmann Method

Author : Timm Krüger
Publisher : Springer
Page : 705 pages
File Size : 50,7 MB
Release : 2016-11-07
Category : Science
ISBN : 3319446495

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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 Boltzmann Modeling

Author : Michael C. Sukop
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 22,38 MB
Release : 2007-04-05
Category : Science
ISBN : 3540279822

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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.

Kinetic Theory and Fluid Dynamics

Author : Yoshio Sone
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 25,56 MB
Release : 2012-12-06
Category : Science
ISBN : 146120061X

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This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.

An Introduction to Computational Physics

Author : Tao Pang
Publisher : Cambridge University Press
Page : 414 pages
File Size : 48,88 MB
Release : 2006-01-19
Category : Computers
ISBN : 9780521825696

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This advanced textbook provides an introduction to the basic methods of computational physics.

The Lattice Boltzmann Equation

Author : Sauro Succi
Publisher : Oxford University Press
Page : 789 pages
File Size : 36,95 MB
Release : 2018
Category : Mathematics
ISBN : 0199592357

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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.

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

Author : Dieter A. Wolf-Gladrow
Publisher : Springer
Page : 320 pages
File Size : 12,58 MB
Release : 2004-10-19
Category : Mathematics
ISBN : 3540465863

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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.