Turbulence Modelling
Most flows in nature are turbulent. How to model turbulent flows plays an important role in practical engineering. Theoretically, turbulent flows can be described by either the space-filtered flow equations or the time-averaged flow equations. Numerical r
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Springer-Verlag Berlin Heidelberg GmbH
Jian Guo Zhou
Lattice Boltzmann Methods for Shallow Water Flows with 50 Figures
Springer
DR. JIAN GUO ZHOU
7 Cherry Lane SALE M334NF United Kingdom Email: [email protected]
ISBN 978-3-642-07393-9 ISBN 978-3-662-08276-8 (eBook) DOI 10.1007/978-3-662-08276-8 Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at . This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights oC translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this _publication or parts thereof is permitted only under the provisions of the German Copyright Law oCSeptember 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law. http://www.springer.de © Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg New York in 2004 Softcover reprint of the hardcover I st edition 2004
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Preface
The lattice Boltzmann method (LBM) is a modern numerical technique, very efficient, flexible to simulate different flows within complex/varying geometries. It is evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the LGA. The core equation in the LBM turns out to be a special discrete form of the continuum Boltzmann equation, leading it to be self-explanatory in statistical physics. The method describes the microscopic picture of particles movement in an extremely simplified way, and on the macroscopic level it gives a correct average description of a fluid. The averaged particle velocities behave in time and space just as the flow velocities in a physical fluid, showing a direct link between discrete microscopic and continuum macroscopic phenomena. In contrast to the traditional computational fluid dynamics (CFD) based on a direct solution of flow equations, the
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