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 />
Dilute test case<br />
A component of a mixture is said dilute if its concentration is<br />
negligible in comparison with the other components of the mixture<br />
[10].<br />
Let us suppose that, in our ternary mixture, the component 1 is<br />
dilute. In particular, the initial conditions for the dilute test case are<br />
given by<br />
[ ( )] x − L/2<br />
p 1 (0, x) = ∆p 1 + tanh<br />
+ p s , (60)<br />
δx<br />
[ ( )] x − L/2<br />
p 2 (0, x) = ∆p 1 − tanh<br />
+ p s +<br />
δx<br />
+(1 − r) (1 − 2 ∆p), (61)<br />
p 3 (0, x) = r (1 − 2 ∆p) − 2 p s , (62)<br />
where p(0, x) = ∑ σ p σ = 1, ∆p = p s = 0.01, r = 1/2.<br />
Pietro Asinari, PhD (Politecnico di Torino) <strong>Multi</strong>-<strong>Species</strong> LB <strong>Models</strong> Rome, Italy, on July 5-9, 2010 41 / 51
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