This article is cited in 2 papers

NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows

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 incompressible fluid flows is proposed. The method is based on the splitting of differential operator in Navier-Stokes equation and on the idea of instantaneous Maxwellisation of distribution function. The method is based on explicit schemes and didn't have any problems with parallelization of computations. The stability of the method is demonstrated using von Neumann method in a wide range of input parameter values. The efficiency of the method proposed is demonstrated on the solution of the problem of 2D lid-driven cavity flow.

Keywords: lattice Boltzmann method, splitting method.

UDC: 519.62/64+517.958:536

Received: 13.12.2013
Revised: 22.04.2014

DOI: 10.20537/2076-7633-2014-6-3-365-381