Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics by Daniel

Description: Lattice-Gas Cellular Automata by Daniel H. Rothman, Stiphane Zaleski A self-contained, comprehensive introduction to momentum-conserving lattice gases, showing how they give rise to isotropic macroscopic hydrodynamics, and how they lead to simple models of fluid phase separation, hydrodynamic interfaces, multiphase flow, and flow through porous media. Many exercises are included. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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. Table of Contents Preface; Acknowledgements; 1. A simple model of fluid mechanics; 2. Two routes to hydrodynamics; 3. Inviscid two-dimensional lattice-gas hydrodynamics; 4. Viscous two-dimensional hydrodynamics; 5. Some simple 3D models; 6. The lattice-Boltzmann method; 7. Using the Boltzmann method; 8. Miscible fluids; 9. Immiscible lattice gases; 10. Lattice-Boltzmann method for immiscible fluids; 11. Immiscible lattice gases in three dimensions; 12. Liquid-gas models; 13. Flow through porous media; 14. Equilibrium statistical mechanics; 15. Hydrodynamics in the Boltzmann approximation; 16. Phase separation; 17. Interfaces; 18. Complex fluids and patterns; Appendices; Author Index; Subject Index. Review … this book gives a very good review of the main results obtained in the field of lattice-gas models. It will help newcomers to get started. Many of the results shown in the book are impresssive and should attract people who commonly use standard approaches. P. Lallemand, European Journal of Mechanics Promotional A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases. Promotional "Headline" A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases. Description for Bookstore A self-contained, comprehensive introduction to momentum-conserving lattice gases, showing how they give rise to isotropic macroscopic hydrodynamics, and how they lead to simple models of fluid phase separation, hydrodynamic interfaces, multiphase flow, and flow through porous media. Many exercises are included. Description for Library A self-contained, comprehensive introduction to momentum-conserving lattice gases, showing how they give rise to isotropic macroscopic hydrodynamics, and how they lead to simple models of fluid phase separation, hydrodynamic interfaces, multiphase flow, and flow through porous media. Many exercises are included. Details ISBN0521607604 Author Stiphane Zaleski Short Title LATTICE-GAS CELLULAR AUTOMATA Pages 320 Publisher Cambridge University Press Language English ISBN-10 0521607604 ISBN-13 9780521607605 Media Book Format Paperback Year 2004 Imprint Cambridge University Press Subtitle Simple Models of Complex Hydrodynamics Place of Publication Cambridge Country of Publication United Kingdom Edition Description Pbk Affiliation Universite de Paris VI (Pierre et Marie Curie) DOI 10.1604/9780521607605 Series Number 5 UK Release Date 2004-12-23 AU Release Date 2004-12-23 NZ Release Date 2004-12-23 Series Collection Alea-Saclay: Monographs and Texts in Statistical Physics Publication Date 2004-12-23 Alternative 9780511524714 DEWEY 532.5 Illustrations Worked examples or Exercises; 4 Tables, unspecified; 87 Line drawings, unspecified Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91365312;

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