Immersed boundary-finite difference lattice Boltzmann method using the feedback forcing scheme to simulate the incompressible flows

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• 作者：Lae-Sung Kim ; Hui-Ju Yang ; Man-Yeoung Ha…
• 刊名：International Journal of Precision Engineering and Manufacturing
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：17
• 期：8
• 页码：1049-1057
• 全文大小：678 KB
• 刊物类别：Engineering
• 刊物主题：Industrial and Production Engineering
  Materials Science
  
• 出版者：Korean Society for Precision Engineering, in co-publication with Springer Verlag GmbH
• ISSN：2005-4602
• 卷排序：17

文摘

In this study, the immersed boundary-finite difference lattice Boltzmann method (IB-FDLBM) using the feedback momentum forcing scheme is proposed and implemented to simulate 2-D incompressible flows. IB-FBLBM incorporates the immersed boundary method (IBM) into the finite difference lattice Boltzmann method (FDLBM) devised to alleviate shortcomings by using the uniform Cartesian grid of the standard lattice Boltzmann method (LBM). In order to obtain numerical stability while combining IBM with FDLBM, this method utilizes feedback momentum forcing scheme and equilibrium velocity approach to take into account the change of momentum induced by a body force on the immersed boundaries. This approach has the advantages of being simple and easy to implement, and does not require modification of the original governing equations. In order to confirm the applicability and validation of IB-FDLBM, the lid-driven cavity flow with a circular cylinder, the external steady flows around a circular cylinder and external steady flows around a circular cylinder near a plane wall are simulated with a range of Reynolds numbers. The current numerical results are consistent with those of existing researches.KeywordsFinite difference lattice Boltzmann methodImmersed boundary methodImmersed boundary-finite difference lattice Boltzmann methodIncompressible flows