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Lattice Boltzmann Methods for Shallow Water Flows 2004 Edition
Contributor(s): Zhou, Jian Guo (Author)
ISBN: 3540407464     ISBN-13: 9783540407461
Publisher: Springer
OUR PRICE:   $104.49  
Product Type: Hardcover - Other Formats
Published: October 2003
Qty:
Additional Information
BISAC Categories:
- Science | Physics - Geophysics
- Science | Earth Sciences - Hydrology
- Technology & Engineering | Mechanical
Dewey: 530.138
Physical Information: 0.38" H x 6.14" W x 9.21" (0.80 lbs) 112 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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.