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Lattice-Gas Cellular Automata by Daniel H. Rothman
Lattice-Gas Cellular Automata by Daniel H. Rothman
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Lattice-Gas Cellular Automata

Simple Models of Complex Hydrodynamics
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Description

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.
Release date Australia
December 23rd, 2004
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 4 Tables, unspecified; 87 Line drawings, unspecified
Pages
320
Dimensions
189x246x17
ISBN-13
9780521607605
Product ID
2365174

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