RUS  ENG
Full version
JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2015 Volume 16, Issue 1, Pages 10–17 (Mi vmp514)

Application of predictor-corrector finite-difference-based schemes in the lattice Boltzmann method

G. V. Krivovichev, E. V. Voskoboinikova

Saint Petersburg State University

Abstract: Predictor-corrector finite-difference-based lattice Boltzmann schemes are proposed. An approach with separate approximation of spatial derivatives in the convective terms of kinetic equations and an approach when these terms are replaced by a single finite difference are considered. Explicit finite-difference schemes are used at both the stages of the computation process. The cavity flow problem and the Taylor vortex problem are solved numerically in a wide range of the Reynolds number. It is shown that the proposed schemes allow a larger time step compared to other known schemes.

Keywords: lattice Boltzmann method, kinetic equations, predictor-corrector, cavity flow problem, Taylor vortices.

UDC: 519.62

Received: 20.11.2014



© Steklov Math. Inst. of RAS, 2024