Tutorial: Multi-Species Lattice Boltzmann Models and Applications
Tutorial: Multi-Species Lattice Boltzmann Models and Applications
Tutorial: Multi-Species Lattice Boltzmann Models and Applications
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Validation <strong>and</strong> simple applications<br />
Non-Fickian test case: Stefan tube<br />
It is essentially a vertical tube, open at one end, where the carrier<br />
flow licks orthogonally the tube opening [10]. In the bottom of the<br />
tube is a pool of quiescent liquid. The vapor that evaporates from<br />
this pool diffuses to the top.<br />
p 1 (0, x) = p 1 (0, 0) 1 [ ( )] x − L/2<br />
1 − tanh<br />
+ p s , (63)<br />
2<br />
δx<br />
p 2 (0, x) = p 2 (0, 0) 1 [ ( )] x − L/2<br />
1 − tanh<br />
+ p s , (64)<br />
2<br />
δx<br />
p 3 (0, x) = [1 − p 3 (0, 0)] 1 [ ( )] x − L/2<br />
1 + tanh<br />
+ p 3 (0, 0),<br />
2<br />
δx<br />
(65)<br />
where the constant p s = 10 −4 has been introduced for avoiding to<br />
divide per zero.<br />
Pietro Asinari, PhD (Politecnico di Torino) <strong>Multi</strong>-<strong>Species</strong> LB <strong>Models</strong> Rome, Italy, on July 5-9, 2010 43 / 51
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