Geodesic
On one variant of the lattice Boltzmann equation method
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2013), pp. 10-20

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Modification of the lattice Boltzmann method is considered. The modified method is based on splitting of differential operator in Navier–Stokes equation and on the idea of instantaneous Maxwellisation of the distribution function. The problems for the system of lattice kinetic equations and for the system of linear diffusion equations are solved while one time step is realized. The efficiency of the method proposed in comparison with the ordinary lattice Boltzmann equation method is demonstrated on the solution of the problem of planar flow in cavern in wide range of Reynolds number and various grid resolution. Bibliogr. 41. Il. 1. Table 3.
Keywords: lattice Boltzmann method, splitting method. 
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G. V. Krivovichev. On one variant of the lattice Boltzmann equation method. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2013), pp. 10-20. http://geodesic.mathdoc.fr/item/VSPUI_2013_4_a1/