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Lattice Boltzmann Methods for Shallow Water Flows (Hardcover, 2004 ed.)
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Lattice Boltzmann Methods for Shallow Water Flows (Hardcover, 2004 ed.)
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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."
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