"Application of predictor-corrector finite-difference-based schemes in the lattice Boltzmann method"
Krivovichev G.V. and Voskoboinikova E.V.

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.

  • Krivovichev G.V. – Saint Petersburg State University, Faculty of Applied Mathematics and Control Processes; prospekt Universitetskii 35, Saint Petersburg, 198504, Russia; Ph.D., Associate Professor, e-mail: gera1983k@bk.ru
  • Voskoboinikova E.V. – Saint Petersburg State University, Faculty of Applied Mathematics and Control Processes; prospekt Universitetskii 35, Saint Petersburg, 198504, Russia; Student, e-mail: elen.voskoboinikova@gmail.com