Lattice Gas Models Of Complex Fluid Hydrodynamics
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Lattice Gas Models Of Complex Fluid Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 1999
Lattice Gas Models Of Complex Fluid Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
This document is the final report for AFOSR Grant F49620-97-1-0172, "Lattice-Gas Models of Complex-Fluid Hydrodynamics." Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Space Vehicles Directorate of Air Force Research Laboratory (AFOSR task 2304CP). The principal research topics were the development of lattice-gas and lattice Boltzmann models for complex fluids and droplets, the development and analysis of quantum lattice-gas automata, and the development of unconditionally stable entropic lattice Boltzmann models for viscous fluid dynamics. Nine publications have resulted from this effort, as well as the editorship of the Proceedings of the Seventh International Conference on Discrete Models for Fluid Mechanics as a special issue of the International Journal of Modern Physics C. The principal results of this work are described and their significance is placed in historical perspective.
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.
Lattice Gas Hydrodynamics
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Author : J.-P. Rivet
language : en
Publisher: Cambridge University Press
Release Date : 2001-01-04
Lattice Gas Hydrodynamics written by J.-P. Rivet 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 2001-01-04 with Computers categories.
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.
Lattice Gas Methods For Partial Differential Equations
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Author : Gary Doolen
language : en
Publisher: CRC Press
Release Date : 2019-03-01
Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-01 with Mathematics categories.
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.
Lattice Gas Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 1993
Lattice Gas Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved quite successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.
Discrete Kinetic Theory Lattice Gas Dynamics And Foundations Of Hydrodynamics Proceedings Of The Workshop
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Author : Roberto Monaco
language : en
Publisher: World Scientific
Release Date : 1989-04-01
Discrete Kinetic Theory Lattice Gas Dynamics And Foundations Of Hydrodynamics Proceedings Of The Workshop written by Roberto Monaco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-01 with categories.
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.
Lattice Gas Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 1993
Lattice Gas Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.
Lattice Gas Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 1993
Lattice Gas Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
The first successful application of a microscopic analogy to create a skeleton cellular automaton and analyze it with statistical mechanical tools, was the work of Frisch, Hasslacher and Pomeau on the Navier-Stokes equation in two and three dimensions. This has become a very large research area with lattice gas models and methods being used for both fundamental investigations into the foundations of statistical mechanics and a large number of diverse applications. This present research was devoted to enlarging the fundamental scope of lattice gas models and proved successful. Since the beginning of this proposal, cellular automata have been constructed for statistical mechanical models, fluids, diffusion and shock systems in fundamental investigations. In applied areas, there are now excellent lattice gas models for complex flows through porous media, chemical reaction and combustion dynamics, multiphase flow systems, and fluid mixtures with natural boundaries. With extended cellular fluid models, one can do problems with arbitrary pairwise potentials. Recently, these have been applied to such problems as non-newtonian or polymeric liquids and a mixture of immiscible fluids passing through fractal or spongelike media in two and three dimensions. This proposal has contributed to and enlarged the scope of this work.
Lattice Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 2001
Lattice Hydrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
This document is the final report for AFOSR Grant F49620-99-1-0070, 'Lattice Hydrodynamics'. Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Space Vehicles Directorate of Air Force Research Laboratory (AFOSR task 2304CP). The principal research topics were the development of quantum lattice-gas models for implementation on quantum computers, and classical lattice Boltzmann models for complex fluids. Seven publications have resulted from this effort, as well as the editorship of the Proceedings of the Workshop on Quantum Computation for Physical Modeling (QCFM 2000), which was held in Falmouth, Massachusetts in October, 2000. These proceedings, edited by Bruce M. Boghosian and Jeffrey Yepez, will appear in the journal Computer Physics Communications. The principal results of this work are described in this report.
Lattice Gas Methods
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Author : Gary D. Doolen
language : en
Publisher: MIT Press
Release Date : 1991
Lattice Gas Methods written by Gary D. Doolen and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.