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Lattice Boltzmann Methods for Shallow Water Flows - Jian Guo Zhou

Lattice Boltzmann Methods for Shallow Water Flows

Hardcover Published: 27th October 2003
ISBN: 9783540407461
Number Of Pages: 112

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The lattice Boltzmann method (LBM) is a modern numerical technique, very efficient, flexible to simulate different flows within complex/varying geome­ tries. 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 micro­ scopic picture of particles movement in an extremely simplified way, and on the macroscopic level it gives a correct average description of a fluid. The av­ eraged 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 lattice Boltzmann method provides an indirect way for solution of the flow equations. The method is characterized by simple calculation, parallel process and easy implementation of boundary conditions. It is these features that make the lattice Boltzmann method a very promising computational method in different areas. In recent years, it receives extensive attentions and becomes a very potential research area in computational fluid dynamics. However, most published books are limited to the lattice Boltzmann methods for the Navier-Stokes equations. On the other hand, shallow water flows exist in many practical situations such as tidal flows, waves, open channel flows and dam-break flows.

Industry Reviews

From the reviews:

"The book describes the lattice Boltzmann method for shallow water flows with or without turbulence. ... The book demonstrates important recent advances in computational fluid dynamics and can be used as an invaluable reference for scientists and engineers, and as a textbook for graduates in engineering sciences such as coastal, civil and environmental engineering." (Felix Kaplanski, Zentralblatt MATH, Vol. 1052, 2005)

Introductionp. 1
Shallow Water Flowsp. 7
Lattice Boltzmann Methodp. 19
Force Termsp. 35
Turbulence Modellingp. 47
Boundary and Initial Conditionsp. 53
Applicationsp. 63
LABSWE on Hexagonal Latticep. 95
LABSWE Codep. 97
Referencesp. 105
Indexp. 109
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540407461
ISBN-10: 3540407464
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 112
Published: 27th October 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.81