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.
Preview |
Text
PhysRevE.96.053307.pdf - Published Version Download (648kB) | Preview |
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 |
Archive Staff Only
View Item |