Lattice Gas Dynamics

Author : Jeffrey Yepez
Publisher : Unknown
Page : 226 pages
File Size : 52,5 Mb
Release : 1995
Category : Lattice gas
ISBN : UCSD:31822009262064

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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 : United States. Air Force Materiel Command,J. Yepez
Publisher : Unknown
Page : 212 pages
File Size : 53,5 Mb
Release : 1996
Category : Electronic
ISBN : OCLC:897984078

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LATTICE GAS DYNAMICS : VOLUME I, VISCOUS FLUIDS. by United States. Air Force Materiel Command,J. Yepez Pdf

Author : Roberto Monaco
Publisher : World Scientific
Page : 432 pages
File Size : 42,9 Mb
Release : 1989-04-01
Category : Electronic
ISBN : 9789813201415

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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 : J.-P. Rivet,J. P. Boon
Publisher : Cambridge University Press
Page : 312 pages
File Size : 50,6 Mb
Release : 2005-09-15
Category : Science
ISBN : 0521019710

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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 that capture the essentials of actual fluctuations in real fluids.

Author : Gary D. Doolen
Publisher : MIT Press
Page : 356 pages
File Size : 40,9 Mb
Release : 1991
Category : Mathematics
ISBN : 0262540630

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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 : Gary Doolen
Publisher : CRC Press
Page : 584 pages
File Size : 42,7 Mb
Release : 2019-03-01
Category : Mathematics
ISBN : 9780429717505

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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 : 47,6 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540465867

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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 : Daniel H. Rothman,Stiphane Zaleski
Publisher : Cambridge University Press
Page : 320 pages
File Size : 46,9 Mb
Release : 2004-12-23
Category : Science
ISBN : 0521607604

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

The text is a self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases. Lattice-gas cellular automata are discrete models of fluids. Identical particles hop from site to site on a regular lattice, obeying simple conservative scattering rules when they collide. Remarkably, at a scale larger than the lattice spacing, these discrete models simulate the Navier-Stokes equations of fluid mechanics. This book addresses three important aspects of lattice gases. First, it shows how such simple idealised microscopic dynamics give rise to isotropic macroscopic hydrodynamics. Second, it details how the simplicity of the lattice gas provides for equally simple models of fluid phase separation, hydrodynamic interfaces, and multiphase flow. Lastly, it illustrates how lattice-gas models and related lattice-Boltzmann methods have been used to solve problems in applications as diverse as flow through porous media, phase separation, and interface dynamics. Many exercises and references are included.

Author : J.-P. Rivet,J. P. Boon
Publisher : Cambridge University Press
Page : 313 pages
File Size : 40,8 Mb
Release : 2001-01-04
Category : Computers
ISBN : 9780521419444

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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 : S. Succi
Publisher : Oxford University Press
Page : 308 pages
File Size : 43,8 Mb
Release : 2001-06-28
Category : Mathematics
ISBN : 0198503989

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The Lattice Boltzmann Equation by S. Succi Pdf

Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.

Author : Daniel H. Rothman,S. Zaleski
Publisher : Unknown
Page : 297 pages
File Size : 50,8 Mb
Release : 1997
Category : Science
ISBN : 052155201X

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Lattice-gas Cellular Automata by Daniel H. Rothman,S. Zaleski Pdf

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

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 : 46,5 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:228021861

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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 : Carlo Cercignani
Publisher : Cambridge University Press
Page : 348 pages
File Size : 46,9 Mb
Release : 2000-02-28
Category : Mathematics
ISBN : 0521659922

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Rarefied Gas Dynamics by Carlo Cercignani Pdf

The aim of this book is to present the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.

Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 48,9 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824

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Statistical Mechanics of Lattice Systems by Sacha Friedli,Yvan Velenik Pdf

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Author : Gary Doolen
Publisher : CRC Press
Page : 584 pages
File Size : 55,5 Mb
Release : 2019-03-01
Category : Mathematics
ISBN : 9780429697494

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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.