Tutorial: Multi-Species Lattice Boltzmann Models and Applications

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Validation and simple applications Solvent test case: Maxwell–Stefan model Pietro Asinari, PhD (Politecnico di Torino) Multi-Species LB Models Rome, Italy, on July 5-9, 2010 40 / 51
Validation and simple applications Dilute test case A component of a mixture is said dilute if its concentration is negligible in comparison with the other components of the mixture [10]. Let us suppose that, in our ternary mixture, the component 1 is dilute. In particular, the initial conditions for the dilute test case are given by [ ( )] x − L/2 p 1 (0, x) = ∆p 1 + tanh + p s , (60) δx [ ( )] x − L/2 p 2 (0, x) = ∆p 1 − tanh + p s + δx +(1 − r) (1 − 2 ∆p), (61) p 3 (0, x) = r (1 − 2 ∆p) − 2 p s , (62) where p(0, x) = ∑ σ p σ = 1, ∆p = p s = 0.01, r = 1/2. Pietro Asinari, PhD (Politecnico di Torino) Multi-Species LB Models Rome, Italy, on July 5-9, 2010 41 / 51
Page 1 and 2: Tutorial: Multi-Species Lattice Bol
Page 3 and 4: Outline of this tutorial 1 Kinetic
Page 5 and 6: Kinetic theory of rarefied gas mixt
Page 11 and 12: Lattice Boltzmann solvers and appli
Page 29 and 30: Validation and simple applications
Page 33 and 34: Main loop Validation and simple app
Page 39: Validation and simple applications
Page 45 and 46: Conclusions In the present tutorial
Page 47 and 48: References II [7] C. Cercignani The
Page 49 and 50: References IV [17] B. B. Hamel. Two
Page 51: References VI [27] P. Asinari and T

Tutorial: Multi-Species Lattice Boltzmann Models and Applications

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