This article is cited in 2 papers

NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

On the computation of viscous fluid flows by the lattice Boltzmann method

G. V. Krivovichev

Saint-Petersburg State University, Department of Applied Mathematics – Processes of Control, 35 University prospekt, Saint-Petersburg, Peterhof, 198504, Russia

Abstract: Modification of the lattice Boltzmann method for computation of viscous Newtonian fluid flows is considered. Modified method is based on the splitting of differential operator in Navier–Stokes equation andon the idea of instantaneous Maxwellisation of 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 method is demonstrated on the solution of the problem of planar flow in cavern in wide range of Reynolds number and various grid resolution.

Keywords: lattice Boltzmann method, splitting method, cavern flow problem.

UDC: 519.62/64+517.958:536

Received: 14.01.2013
Revised: 13.03.2013

DOI: 10.20537/2076-7633-2013-5-2-165-178