Lattice Gas Hydrodynamics

Author : J.-P. Rivet,J. P. Boon
Publisher : Cambridge University Press
Page : 313 pages
File Size : 43,7 Mb
Release : 2001-01-04
Category : Computers
ISBN : 9780521419444

Get Book

Lattice Gas Hydrodynamics by J.-P. Rivet,J. P. Boon Pdf

Lattice Gas Hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo collisions when their trajectories meet. If the collisions occur according to some simple logical rules, and if the lattice has the proper symmetry, then the automaton shows global behavior very similar to that of real fluids. This book carries two important messages. First, it shows how an automaton universe with simple microscopic dynamics - the lattice gas - can exhibit macroscopic behavior in accordance with the phenomenological laws of classical physics. Second, it demonstrates that lattice gases have spontaneous microscopic fluctuations which capture the essentials of actual fluctuations in real fluids.

Author : Jean P. Boon,Alain Noullez,ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRAN CE)
Publisher : Unknown
Page : 27 pages
File Size : 47,9 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:228021861

Get Book

Lattice Gas Hydrodynamics by Jean P. Boon,Alain Noullez,ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRAN CE) Pdf

Recently, the development of a 'poor man version' of the molecular dynamics approach has been stimulated by progress and perspectives in parallel computers. Similarly as for molecular dynamics simulations, the prediction of flows in fluids will follow from a microscopic description of interacting particles, but here the particles are confined to points moving along the links of a regular lattice, and interactions reduce to simple mathematical rules. The motivation for using a lattice gas (in fact, a well known model system in Statistical Physics) to simulate hydrodynamics stems from the idea that the details of the microscopic properties should be unimportant to the macroscopic behavior of the fluid. So whether the fictitious micro-world one uses is a caricature of a real fluid does not matter as long as it produces correct hydrodynamics. To what extent does lattice gas hydrodynamics meet this goal? To answer this question, we first build up the constitutive elements to construct a lattice gas; then we put a model system to work and present the results of hydrodynamic simulations; finally the computational aspects of present and future realizations are reviewed.

Author : Daniel H. Rothman,Stiphane Zaleski
Publisher : Cambridge University Press
Page : 323 pages
File Size : 42,6 Mb
Release : 1997-08-28
Category : Computers
ISBN : 9780521552011

Get Book

Lattice-Gas Cellular Automata by Daniel H. Rothman,Stiphane Zaleski Pdf

A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.

Author : Roberto Monaco
Publisher : World Scientific
Page : 432 pages
File Size : 47,6 Mb
Release : 1989-04-01
Category : Electronic
ISBN : 9789813201415

Get Book

Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop by Roberto Monaco Pdf

The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.

Author : Gary Doolen
Publisher : CRC Press
Page : 584 pages
File Size : 42,6 Mb
Release : 2019-03-01
Category : Mathematics
ISBN : 9780429717505

Get Book

Lattice Gas Methods For Partial Differential Equations by Gary Doolen Pdf

Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.

Author : Jeffrey Yepez
Publisher : Unknown
Page : 226 pages
File Size : 41,5 Mb
Release : 1995
Category : Lattice gas
ISBN : UCSD:31822009262064

Get Book

Lattice Gas Dynamics by Jeffrey Yepez Pdf

The theory and computation of lattice gas dynamics for viscous fluid hydrodynamics is presented. Theoretical analysis of these exactly conserved, discrete models is done using the Boltzmann approximation, a mean-field theoretical treatment. Theoretical results are then compared to numerical data arrived by exactly computed simulations of simple lattice-gas systems. The numerical simulations presented were carried out on a prototype lattice-gas machine, the CAM-8, which is a virtual finegrained paralled mesh architecture suitable for discrete modeling in arbitrary dimensions. Single speed and multi-speed lattice gases are treated. The new contribution is an integer lattice gas with many particles per momentum state. Comparisons are made between the mean-field theory and numerical experiments for shear viscosity transport coefficient.

Author : Gary D. Doolen
Publisher : MIT Press
Page : 356 pages
File Size : 45,9 Mb
Release : 1991
Category : Mathematics
ISBN : 0262540630

Get Book

Lattice Gas Methods by Gary D. Doolen Pdf

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.

Author : Anna T. Lawniczak,Raymond Kapral
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 47,8 Mb
Release : 1996
Category : Science
ISBN : 9780821802588

Get Book

Pattern Formation and Lattice gas Automata by Anna T. Lawniczak,Raymond Kapral Pdf

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.

Author : Karen Lisa Diemer
Publisher : Unknown
Page : 358 pages
File Size : 51,6 Mb
Release : 1992
Category : Hydrodynamics
ISBN : UCSC:32106008904176

Get Book

Lattice Gas Hydrodynamics of One and Two Phase Fluids in Two and Three Dimensions - Theory and Simulation by Karen Lisa Diemer Pdf

Author : Gary Doolen
Publisher : CRC Press
Page : 584 pages
File Size : 48,5 Mb
Release : 2019-03-01
Category : Mathematics
ISBN : 9780429697494

Get Book

Lattice Gas Methods For Partial Differential Equations by Gary Doolen Pdf

Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.

Author : Dieter A. Wolf-Gladrow
Publisher : Springer
Page : 314 pages
File Size : 45,8 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540465867

Get Book

Lattice-Gas Cellular Automata and Lattice Boltzmann Models by Dieter A. Wolf-Gladrow Pdf

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 : Roberto Monaco
Publisher : Unknown
Page : 0 pages
File Size : 45,5 Mb
Release : 1989
Category : Electronic
ISBN : 997150815X

Get Book

Discrete Kinetic Theory Lattice Gas Dynamics and Foundations of Hydrodynamics by Roberto Monaco Pdf

Author : Michel Mareschal,Brad Lee Holian
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 44,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489923141

Get Book

Microscopic Simulations of Complex Hydrodynamic Phenomena by Michel Mareschal,Brad Lee Holian Pdf

This volume contains the proceedings of a NATO Advanced Study Institute which was held in Alghero, Sardinia, in July 1991. The development of computers in the recent years has lead to the emergence of unconventional ideas aiming at solving old problems. Among these, the possibility of computing directly fluid flows from the trajectories of constituent particles has been much exploited in the last few years: lattice gases cellular automata and more generally Molecular Dynamics have been used to reproduce and study complex flows. Whether or not these methods may someday compete with more traditional approaches is a question which cannot be answered at the present time: it will depend on the new computer architectures as well as on the possibility to develop very simple models to reproduce the most complex phenomena taking place in the approach of fully developed turbulence or plastic flows. In any event, these molecular methods are already used, and sometimes in an applied engineering context, to study strong shock waves, chemistry induced shocks or motion of dislocations in plastic flows, that is in domains where a fully continuum description appears insufficient. The main topic of our Institute was the molecular simulations of fluid flows. The project to hold this Institute was made three years ago, in the summer of 1989 during a NATO workshop in Brussels on the same subject.

Author : Paul Manneville,Nino Boccara,Gerard Y. Vichniac,Roger Bidaux
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642752599

Get Book

Cellular Automata and Modeling of Complex Physical Systems by Paul Manneville,Nino Boccara,Gerard Y. Vichniac,Roger Bidaux Pdf

Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.

Author : Sauro Succi
Publisher : Oxford University Press
Page : 784 pages
File Size : 41,6 Mb
Release : 2018-04-13
Category : Technology & Engineering
ISBN : 9780192538857

Get Book

The Lattice Boltzmann Equation: For Complex States of Flowing Matter by Sauro Succi Pdf

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.