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Tutorial: Multi-Species Lattice Boltzmann Models and Applications

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Validation <strong>and</strong> simple applications<br />

Basic algorithm<br />

The proposed numerical code is formulated not in the st<strong>and</strong>ard<br />

way (<strong>and</strong> it is quite inefficient from the computational point of<br />

view).<br />

Even though it is not an efficient implementation, the proposed<br />

formulation is much more similar to any other explicit finite<br />

difference (FD) scheme.<br />

This offers some advantages:<br />

1 it makes easier to implement hybrid schemes, i.e. to mix up kinetic<br />

<strong>and</strong> conventional schemes on the same discretization;<br />

2 it makes easier to compare the LBM scheme with other FD<br />

schemes, mainly in terms of updating rule;<br />

3 it makes easier to implement simple boundary conditions, based on<br />

the concept of local equilibrium.<br />

Anyway the basic sequence of collision <strong>and</strong> streaming step is<br />

preserved.<br />

Pietro Asinari, PhD (Politecnico di Torino) <strong>Multi</strong>-<strong>Species</strong> LB <strong>Models</strong> Rome, Italy, on July 5-9, 2010 31 / 51

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