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Multiple-Relaxation-Time Lattice Boltzmann scheme for fractional advection–diffusion equation

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Academic year: 2021

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Figure 1: Lattices considered in this work. On the left: D3Q7. On the right: D2Q5. The weights of D3Q7 are are w 0 = 1/4 and w 1,...,6 = 1/8, and its lattice coefficient is e 2 = 1/4.The weights of D2Q5 are are w 0 = 1/3 and w 1,...,4 = 1/6, and its lattic
Figure 2: Solutions of the 2D Eq. (1) with symmetric integrals (p p p = 1/2 1/2 1/2) w.r.t
Figure 3: C(x 1 , 1, t) Profiles of solutions of the 2D Eq. (1) equipped with the same stability parameter in all directions and with non-symmetric integrals in x 1 -direction only: p pp = (0.35, 0.5) T and α αα = 1.21.2 1.2
Figure 4: Global views of the solutions to Eq. (1) equipped with the same parameters as for Fig.3, and showing (a) time evolution and (b) iso-levels issued of LBM and RW.
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