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Volume 14, Issue 5
A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

Lan Jiang, Xiangyu Gu & Jie Wu

Adv. Appl. Math. Mech., 14 (2022), pp. 1040-1058.

Published online: 2022-06

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  • Abstract

To simulate the incompressible turbulent flows, two models, known as the simplified and highly stable lattice Boltzmann method (SHSLBM) and large eddy simulation (LES) model, are employed in this paper. The SHSLBM was developed for simulating incompressible viscous flows and showed great performance in numerical stability at high Reynolds numbers, which means that this model is capable of dealing with turbulent flows by adding the turbulence model. Therefore, the LES model is combined with SHSLBM. Inspired by the less amount of grids required for SHSLBM, a local grid refinement method is used at relatively high Reynolds numbers to improve computational efficiency. Several benchmark cases are simulated and the obtained numerical results are compared with the available results in literature, which show excellent agreement together with greater computational performance than other algorithms.

  • Keywords

SHSLBM, LES model, refined mesh, lid-driven cavity flow, cavity flow.

  • AMS Subject Headings

76M28, 76P99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-14-1040, author = {Lan and Jiang and and 23513 and and Lan Jiang and Xiangyu and Gu and and 23514 and and Xiangyu Gu and Jie and Wu and and 23515 and and Jie Wu}, title = {A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2022}, volume = {14}, number = {5}, pages = {1040--1058}, abstract = {

To simulate the incompressible turbulent flows, two models, known as the simplified and highly stable lattice Boltzmann method (SHSLBM) and large eddy simulation (LES) model, are employed in this paper. The SHSLBM was developed for simulating incompressible viscous flows and showed great performance in numerical stability at high Reynolds numbers, which means that this model is capable of dealing with turbulent flows by adding the turbulence model. Therefore, the LES model is combined with SHSLBM. Inspired by the less amount of grids required for SHSLBM, a local grid refinement method is used at relatively high Reynolds numbers to improve computational efficiency. Several benchmark cases are simulated and the obtained numerical results are compared with the available results in literature, which show excellent agreement together with greater computational performance than other algorithms.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0056}, url = {http://global-sci.org/intro/article_detail/aamm/20551.html} }
TY - JOUR T1 - A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation AU - Jiang , Lan AU - Gu , Xiangyu AU - Wu , Jie JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1040 EP - 1058 PY - 2022 DA - 2022/06 SN - 14 DO - http://doi.org/10.4208/aamm.OA-2021-0056 UR - https://global-sci.org/intro/article_detail/aamm/20551.html KW - SHSLBM, LES model, refined mesh, lid-driven cavity flow, cavity flow. AB -

To simulate the incompressible turbulent flows, two models, known as the simplified and highly stable lattice Boltzmann method (SHSLBM) and large eddy simulation (LES) model, are employed in this paper. The SHSLBM was developed for simulating incompressible viscous flows and showed great performance in numerical stability at high Reynolds numbers, which means that this model is capable of dealing with turbulent flows by adding the turbulence model. Therefore, the LES model is combined with SHSLBM. Inspired by the less amount of grids required for SHSLBM, a local grid refinement method is used at relatively high Reynolds numbers to improve computational efficiency. Several benchmark cases are simulated and the obtained numerical results are compared with the available results in literature, which show excellent agreement together with greater computational performance than other algorithms.

Lan Jiang, Xiangyu Gu & Jie Wu. (2022). A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation. Advances in Applied Mathematics and Mechanics. 14 (5). 1040-1058. doi:10.4208/aamm.OA-2021-0056
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