DOI: https://doi.org/10.26089/NumMet.v16r102

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

Authors

  • G.V. Krivovichev
  • E.V. Voskoboinikova

Keywords:

lattice Boltzmann method
kinetic equations
predictor-corrector
cavity flow problem
Taylor vortices

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.

New computational technologies

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Published

2015-01-19

Issue

Vol. 16 (2015): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

G.V. Krivovichev

St Petersburg University
• Associate Professor

E.V. Voskoboinikova

St Petersburg University
• Student

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