A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the Computation of Solutions to Nonlinear Advective-diffusive Systems

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Total Pages : 265 pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the Computation of Solutions to Nonlinear Advective-diffusive Systems by :

Download or read book A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the Computation of Solutions to Nonlinear Advective-diffusive Systems written by and published by . This book was released on 1990 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the Computaton of Solutions to Nonlinear Advective-diffusive Systems by : Altamont Bracy Hamilton Elton

Download or read book 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 published by . This book was released on 1990 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Gas Methods

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Publisher : MIT Press
ISBN 13 : 9780262540636
Total Pages : 356 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Lattice Gas Methods by : Gary D. Doolen

Download or read book Lattice Gas Methods written by Gary D. Doolen and published by MIT Press. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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ISBN 13 :
Total Pages : 1460 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : CRC Press
ISBN 13 : 9780585319674
Total Pages : 290 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Asymptotic Analysis and the Numerical Solution of Partial Differential Equations by : Hans G. Kaper

Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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ISBN 13 :
Total Pages : 966 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1991 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lecture Notes in Pure and Applied Mathematics

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ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (51 download)

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Download or read book Lecture Notes in Pure and Applied Mathematics written by and published by . This book was released on 1991 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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ISBN 13 :
Total Pages : 1104 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1991-03 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

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Publisher : Springer
ISBN 13 : 3540465863
Total Pages : 320 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow

Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Commencement Ceremony

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ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Commencement Ceremony by : University of California, Davis. Graduate Division

Download or read book Commencement Ceremony written by University of California, Davis. Graduate Division and published by . This book was released on 1991 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SIAM Journal on Scientific Computing

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ISBN 13 :
Total Pages : 778 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 1996 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pattern Formation and Lattice gas Automata

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802585
Total Pages : 357 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Pattern Formation and Lattice gas Automata by : Anna T. Lawniczak

Download or read book Pattern Formation and Lattice gas Automata written by Anna T. Lawniczak and published by American Mathematical Soc.. This book was released on 1996 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dissertation Abstracts International

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ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1991 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Annual Index

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ISBN 13 :
Total Pages : 1096 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Government Reports Annual Index by :

Download or read book Government Reports Annual Index written by and published by . This book was released on 1991 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Doctoral Dissertations

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ISBN 13 :
Total Pages : 768 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Doctoral Dissertations by :

Download or read book American Doctoral Dissertations written by and published by . This book was released on 1990 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 1380 pages
Book Rating : 4.:/5 (318 download)

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Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1991 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Efficient Biased Random Bit Generation for Parallel Processing

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ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (54 download)

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Book Synopsis Efficient Biased Random Bit Generation for Parallel Processing by : Dale Martin Slone

Download or read book Efficient Biased Random Bit Generation for Parallel Processing written by Dale Martin Slone and published by . This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: