Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Title | Lattice-Gas Cellular Automata and Lattice Boltzmann Models PDF eBook |
Author | Dieter A. Wolf-Gladrow |
Publisher | Springer |
Pages | 320 |
Release | 2004-10-19 |
Genre | Mathematics |
ISBN | 3540465863 |
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
Title | Pattern Formation and Lattice gas Automata PDF eBook |
Author | Anna T. Lawniczak |
Publisher | American Mathematical Soc. |
Pages | 357 |
Release | 1996 |
Genre | Computers |
ISBN | 0821802585 |
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
Title | Lattice-Gas Cellular Automata PDF eBook |
Author | Daniel H. Rothman |
Publisher | Cambridge University Press |
Pages | 323 |
Release | 1997-08-28 |
Genre | Computers |
ISBN | 052155201X |
A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
Lattice Gas Methods
Title | Lattice Gas Methods PDF eBook |
Author | Gary D. Doolen |
Publisher | MIT Press |
Pages | 356 |
Release | 1991 |
Genre | Mathematics |
ISBN | 9780262540636 |
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 Boltzmann Modeling
Title | Lattice Boltzmann Modeling PDF eBook |
Author | Michael C. Sukop |
Publisher | Springer Science & Business Media |
Pages | 178 |
Release | 2007-04-05 |
Genre | Science |
ISBN | 3540279822 |
Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.
The Lattice Boltzmann Equation
Title | The Lattice Boltzmann Equation PDF eBook |
Author | S. Succi |
Publisher | Oxford University Press |
Pages | 308 |
Release | 2001-06-28 |
Genre | Mathematics |
ISBN | 9780198503989 |
Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Cellular Automata Modeling of Physical Systems
Title | Cellular Automata Modeling of Physical Systems PDF eBook |
Author | Bastien Chopard |
Publisher | Cambridge University Press |
Pages | 357 |
Release | 1998-12-10 |
Genre | Computers |
ISBN | 0521461685 |
Self-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.