Lattice Gas Cellular Automata

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Lattice Gas Cellular Automata And Lattice Boltzmann Models

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Author : Dieter A. Wolf-Gladrow
language : en
Publisher: Springer
Release Date : 2004-10-20

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 2004-10-20 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.

Pattern Formation And Lattice Gas Automata

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Author : Anna T. Lawniczak
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Pattern Formation And Lattice Gas Automata written by Anna T. Lawniczak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.

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.

Lattice Gas Cellular Automata

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Author : Daniel H. Rothman
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-28

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 1997-08-28 with Computers categories.

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

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 Cellular Automata In Modeling Biological Pattern Formation

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Author : Gizem Yuce
language : en
Publisher:
Release Date : 2018

Lattice Gas Cellular Automata In Modeling Biological Pattern Formation written by Gizem Yuce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

There are several phenomena present in the physical world which can be defined or predicted by specific models. Cellular automata are basic mathematical models for characterization of natural systems by generating simple components and their local interactions. These models are specified on simple updating rules yet demonstrate complex behavior of physical phenomena. Besides this, lattice-gas cellular automata models go one step further and differ from cellular automata by having split updating rule into two parts as collision and propagation. In this study, the goal is to analyze hexagonal lattice-gas cellular automata with single cell type by using agent-based modeling and simulate the model with NetLogo to observe pattern formation. The model examination is focused on the two parameters for stability analysis. The results show that if there is a pattern formation in the model, the system is unstable, and if the patches are smaller and lighter patches, it is stable. Furthermore, the analysis for the choice of particle density and adhesion coefficient displayed that they are the main decision-mechanisms for general structure.

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.

Athermal And Thermal Lattice Gas Cellular Automata

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Author : Oleh Baran
language : en
Publisher:
Release Date : 1995

Athermal And Thermal Lattice Gas Cellular Automata written by Oleh Baran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration

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Author : Josué Manik Nava Sedeño
language : en
Publisher:
Release Date : 2018

Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration written by Josué Manik Nava Sedeño and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

Lattice Gas Cellular 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 Cellular 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 Cellular automata categories.

Lattice Gas Cellular Automata Models For The Analysis Of Cancer Invasion

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Author : Haralambos Hatzikirou
language : en
Publisher:
Release Date : 2009

Lattice Gas Cellular Automata Models For The Analysis Of Cancer Invasion written by Haralambos Hatzikirou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.