{"product_id":"lattice-gas-cellular-automata-simple-models-of-complex-hydrodynamics-paperback-9780521607605","title":"Lattice-Gas Cellular Automata; Simple Models of Complex Hydrodynamics (Paperback) 9780521607605","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLattice-Gas Cellular Automata\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSimple Models of Complex Hydrodynamics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDaniel H. Rothman (Author), Stiphane Zaleski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521607605, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 23 December 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e320 pages, 87 b\/w illus.  4 tables  30 exercises\u003cbr\u003e24.6 x 18.9 x 1.7 cm, 0.58 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… 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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Acknowledgements\u003cbr\u003e 1. A simple model of fluid mechanics\u003cbr\u003e 2. Two routes to hydrodynamics\u003cbr\u003e 3. Inviscid two-dimensional lattice-gas hydrodynamics\u003cbr\u003e 4. Viscous two-dimensional hydrodynamics\u003cbr\u003e 5. Some simple 3D models\u003cbr\u003e 6. The lattice-Boltzmann method\u003cbr\u003e 7. Using the Boltzmann method\u003cbr\u003e 8. Miscible fluids\u003cbr\u003e 9. Immiscible lattice gases\u003cbr\u003e 10. Lattice-Boltzmann method for immiscible fluids\u003cbr\u003e 11. Immiscible lattice gases in three dimensions\u003cbr\u003e 12. Liquid-gas models\u003cbr\u003e 13. Flow through porous media\u003cbr\u003e 14. Equilibrium statistical mechanics\u003cbr\u003e 15. Hydrodynamics in the Boltzmann approximation\u003cbr\u003e 16. Phase separation\u003cbr\u003e 17. Interfaces\u003cbr\u003e 18. Complex fluids and patterns\u003cbr\u003e Appendices\u003cbr\u003e Author Index\u003cbr\u003e Subject Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e], Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006022537496,"sku":"9780521607605","price":53.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521607605i_f4415007-3dd6-4502-a831-9d5c31ffc7d1.jpg?v=1691370462","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lattice-gas-cellular-automata-simple-models-of-complex-hydrodynamics-paperback-9780521607605","provider":"Freshly Printed Books","version":"1.0","type":"link"}