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Consistent forcing scheme in the cascaded lattice Boltzmann method

Fei, L; Luo, KH; (2017) Consistent forcing scheme in the cascaded lattice Boltzmann method. Physical Review E , 96 (5) , Article 053307. 10.1103/PhysRevE.96.053307. Green open access

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Abstract

In this paper, we give an alternative derivation for the cascaded lattice Boltzmann method (CLBM) within a general multiple-relaxation-time (MRT) framework by introducing a shift matrix. When the shift matrix is a unit matrix, the CLBM degrades into an MRT LBM. Based on this, a consistent forcing scheme is developed for the CLBM. The consistency of the nonslip rule, the second-order convergence rate in space, and the property of isotropy for the consistent forcing scheme is demonstrated through numerical simulations of several canonical problems. Several existing forcing schemes previously used in the CLBM are also examined. The study clarifies the relation between MRT LBM and CLBM under a general framework.

Type: Article
Title: Consistent forcing scheme in the cascaded lattice Boltzmann method
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.96.053307
Publisher version: https://doi.org/10.1103/PhysRevE.96.053307
Language: English
Additional information: This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10039923
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