An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using iterative technique

Hu Yang; Yuan Haizhuan; Shu Shi; Niu Xiaodong; Li Mingjun

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An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using iterative technique

Hu Yang 1 #,Yuan Haizhuan 2,Shu Shi 2 *,Niu Xiaodong 2,Li Mingjun 2

1.School of Mathematics and Computational Science, Xiangtan University, HuNan Xiangtan 411105

2.School of Mathematics and Computational Science, Xiangtan University, Xiangtan,411105

*Correspondence author

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Funding: National Natural Science Foundation of China（No.11171281,11201398）, Specialized Research Fund for the Doctoral Program of Higher Educatio（No.20124301110003）

Opened online:15 August 2013

Accepted by: none

Citation: Hu Yang,Yuan Haizhuan,Shu Shi.An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using iterative technique[OL]. [15 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4554453

In this paper a novel immersed boundary-lattice method (IB-LBM) is proposed to simulate incompressible viscous flows. On the basis of momentum exchanged-based IB-LBM, we introduce an iterative correction procedure to achieve our results. On the one hand, the present method can ensure the non-slip boundary condition is satisfied at the boundary points. On the other hand ,this version IB-LBM overcome the drawback that the numerical results of conventional IB-LBM is affected by the distribution of Lagrangian points, so this proposed method is robust. We also do some simple theoretical analysis for some issues. Numerical experiment for Taylor-Green vortices show that the present IB-LBM has second-order accuracy, and the the distribution of Lagrangian points has Little effects on L_2-errors. Numerical example for the flows around a circular shown that the non-slip boundary condition is better satisfied by using this method. Further the simulation results of have a good agreements with the previous literature.

Keywords:Computational Fluid Dynamics; Immersed boundary method; Lattice Bolzmann method; iterative technique; momentum exchange

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