A Numerical Theory Of Lattice Gas And Lattice Boltzmann Methods In The Computation Of Solutions To Nonlinear Advective Diffusive Systems
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A Numerical Theory Of Lattice Gas And Lattice Boltzmann Methods In The Computation Of Solutions To Nonlinear Advective Diffusive Systems
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Author :
language : en
Publisher:
Release Date : 1990
A Numerical Theory Of Lattice Gas And Lattice Boltzmann Methods In The Computation Of Solutions To Nonlinear Advective Diffusive Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
A numerical theory for the massively parallel lattice gas and lattice Boltzmann methods for computing solutions to nonlinear advective-diffusive systems is introduced. The convergence theory is based on consistency and stability arguments that are supported by the discrete Chapman-Enskog expansion (for consistency) and conditions of monotonicity (in establishing stability). The theory is applied to four lattice methods: Two of the methods are for some two-dimensional nonlinear diffusion equations. One of the methods is for the one-dimensional lattice method for the one-dimensional viscous Burgers equation. And one of the methods is for a two-dimensional nonlinear advection-diffusion equation. Convergence is formally proven in the L1-norm for the first three methods, revealing that they are second-order, conservative, conditionally monotone finite difference methods. Computational results which support the theory for lattice methods are presented. In addition, a domain decomposition strategy using mesh refinement techniques is presented for lattice gas and lattice Boltzmann methods. The strategy allows concentration of computational resources on regions of high activity. Computational evidence is reported for the strategy applied to the lattice gas method for the one-dimensional viscous Burgers equation. 72 refs., 19 figs., 28 tabs.
A Numerical Theory Of Lattice Gas And Lattice Boltzmann Methods In The Computaton Of Solutions To Nonlinear Advective Diffusive Systems
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Author : Altamont Bracy Hamilton Elton
language : en
Publisher:
Release Date : 1990
A Numerical Theory Of Lattice Gas And Lattice Boltzmann Methods In The Computaton Of Solutions To Nonlinear Advective Diffusive Systems written by Altamont Bracy Hamilton Elton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Lattice gas categories.
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.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1991
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aeronautics categories.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Asymptotic Analysis And The Numerical Solution Of Partial Differential Equations
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Author : Hans G. Kaper
language : en
Publisher: CRC Press
Release Date : 1991-02-25
Asymptotic Analysis And The Numerical Solution Of Partial Differential Equations written by Hans G. Kaper and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-25 with Mathematics categories.
Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1991
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Power resources categories.
Lecture Notes In Pure And Applied Mathematics
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Author :
language : en
Publisher:
Release Date : 1991
Lecture Notes In Pure And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.
Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1991
Government Reports Announcements Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
Siam Journal On Scientific Computing
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Author :
language : en
Publisher:
Release Date : 1996
Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematical statistics categories.