Quantum Lattice Gas Automata And Hydrodynamics
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Quantum Lattice Gas Automata And Hydrodynamics
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Author :
language : en
Publisher:
Release Date : 2004
Quantum Lattice Gas Automata And 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 2004 with categories.
This document is the final report for AFOSR Grant F49620-01-1-0385, "Quantum Lattice-Gas Automata and Hydrodynamics." Under the terms of this grant, the Department of Mathematics at Tufts University provided theoretical and computational support to the Quantum Computation group at the Air Force Research Laboratory at Hanscom AFB. The principal research topics were the development of quantum lattice-gas models for implementation on Type II quantum computers, and classical entropic lattice Boltzmann models. The work was conducted at the level of three months FTE per year for three years. Eight publications and twelve invited presentations have resulted from the work conducted under effort. The principal results of this work are described in this report.
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: Cambridge University Press
Release Date : 2004-12-23
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 2004-12-23 with Science categories.
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.
Workstation Cluster For Simulations Of Quantum Lattice Gas Automata And Entropic Lattice Boltzmann Models
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Author :
language : en
Publisher:
Release Date : 2001
Workstation Cluster For Simulations Of Quantum Lattice Gas Automata And Entropic Lattice Boltzmann Models 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 F49620-01-1-0456, 'Workstation Cluster for Simulations for Quantum Lattice-Gas Automata and Entropic Lattice Boltzmann Models'. Under the terms of this grant, a workstation cluster was purchased by Professor Bruce Boghosian of the Department of Mathematics at Tufts University in order to carry out large-scale simulations in support of his other AFOSR project F49620-01-1-0385, 'Quantum Lattice-Gas Automata and Hydrodynamics', which was fund by AFOSR for three years, beginning in 2001. This report is restricted to a description of the computer that was purchased, and to the process of purchasing it. A description on the results thus obtained will be included in The final report of AFOSR grant F49620-01-1-0383.
Lattice Gas Dynamics
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Author : Jeffrey Yepez
language : en
Publisher:
Release Date : 1995
Lattice Gas Dynamics written by Jeffrey Yepez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Lattice gas categories.
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.
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
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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.
Lattice Gas Cellular Automata A New Experimental Tool For Hydrodynamics
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Author : Los Alamos National Laboratory
language : en
Publisher:
Release Date : 1985
Lattice Gas Cellular Automata A New Experimental Tool For Hydrodynamics written by Los Alamos National Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Lattice Gas Automata And Lattice Boltzmann Equations For Two Dimensional Hydrodynamics
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Author : Li-Shi Luo
language : en
Publisher:
Release Date : 1993
Lattice Gas Automata And Lattice Boltzmann Equations For Two Dimensional Hydrodynamics written by Li-Shi Luo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Kinetic theory of gases categories.
Lattice Gas Hydrodynamics
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Author : Jean P. Boon
language : en
Publisher:
Release Date : 1987
Lattice Gas Hydrodynamics written by Jean P. Boon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
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.