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Lattice Boltzmann Methods
| Speaker: |
Oleg Matveichuk
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| Date: |
Wednesday March 4, 2009
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| Title: |
Boundary
conditions for the
Lattice Boltzmann equation |
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Abstract
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The Boltzmann equation (BE) is a
central equation in the kinetic theory. One of its discrete analogues
is the Lattice Boltzmann equation. An advantage of this equation is
that it easy handles complex geometries and various types of boundary
conditions.
In this talk we recall the Lattice Boltzmann equation and its relation
to the Boltzmann equation. Then for the Lattice Boltzmann equation we
consider several types of boundary conditions for elementary shapes
(i.e. periodic, no-slip, free-slip, frictional-slip, sliding walls,
open inlet/outlet), and for complex shapes (i.e. staircasting and
extrapolation). The precise definitions of elementary and complex
shapes will be introduced in the presentation. An example of elementary
shape is a rectangle for a rectangular type of grid, so the grid can be
perfectly fitted within this shape, whereas circle is a complex shape
for the same type of grid.
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