Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Author : Dieter A. Wolf-Gladrow
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-18
Lattice Gas Cellular Automata And Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow 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 2000-02-18 with Mathematics categories.
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.
Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Author : Dieter A. Wolf-Gladrow
language : en
Publisher: Springer
Release Date : 2004-10-19
Lattice Gas Cellular Automata And Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.
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.
Lattice Gas Cellular Automata
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Author : Daniel H. Rothman
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-28
Lattice Gas Cellular Automata written by Daniel H. Rothman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-28 with Computers categories.
A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
Lattice Boltzmann Modeling
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Author : Michael C. Sukop
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05
Lattice Boltzmann Modeling written by Michael C. Sukop 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 2007-04-05 with Science categories.
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.
Lattice Gas Cellular Automata
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Author : Daniel H. Rothman
language : en
Publisher:
Release Date : 1997
Lattice Gas Cellular Automata written by Daniel H. Rothman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
Pattern Formation And Lattice Gas Automata
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Author : Anna T. Lawniczak
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Pattern Formation And Lattice Gas Automata written by Anna T. Lawniczak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computers categories.
Articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications. It features up-to-date articles, takes an interdisciplinary approach including mathematics, physical chemistry, and geophysics.
Lattice Boltzmann Method And Its Application In Engineering
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Author : Zhaoli Guo
language : en
Publisher: World Scientific
Release Date : 2013-03-25
Lattice Boltzmann Method And Its Application In Engineering written by Zhaoli Guo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Technology & Engineering categories.
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.
The Lattice Boltzmann Equation For Complex States Of Flowing Matter
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Author : Sauro Succi
language : en
Publisher: Oxford University Press
Release Date : 2018-04-13
The Lattice Boltzmann Equation For Complex States Of Flowing Matter written by Sauro Succi and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-13 with Technology & Engineering categories.
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.
Numerical Solution Of Partial Differential Equations On Parallel Computers
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Author : Are Magnus Bruaset
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-05
Numerical Solution Of Partial Differential Equations On Parallel Computers written by Are Magnus Bruaset 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 2006-03-05 with Mathematics categories.
Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Lattice Boltzmann Modeling For Chemical Engineering
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Author :
language : en
Publisher: Academic Press
Release Date : 2020-06-19
Lattice Boltzmann Modeling For Chemical Engineering written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-19 with Technology & Engineering categories.
Lattice Boltzmann Modeling for Chemical Engineering, Volume 56 in the Advances in Chemical Engineering series, highlights new advances in the field, with this new volume presenting interesting chapters on Simulations of homogeneous and heterogeneous chemical reactions, LBM for 3D Chemical Reactors, LBM Simulations of PEM fuel cells, LBM for separation processes, LBM for two-phase flow (bio)reactors, and more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Chemical Engineering series - Includes the latest information on Lattice Boltzmann Modeling for Chemical Engineering