Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows

AngličtinaPevná vazba
Zhou Jian Guo
Springer, Berlin
EAN: 9783540407461
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Podrobné informace

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.
EAN 9783540407461
ISBN 3540407464
Typ produktu Pevná vazba
Vydavatel Springer, Berlin
Datum vydání 27. října 2003
Stránky 112
Jazyk English
Rozměry 235 x 155
Země Germany
Sekce General
Autoři Zhou Jian Guo
Ilustrace XI, 112 p.