A Boundary Condition-Implemented Immersed Boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder  

作　　者：X.Wang C.Shu J.Wu L.M.Yang 

机构地区：[1]Department of Aerodynamics,College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Yudao Street,Nanjing 210016,China [2]Department of Mechanical Engineering,National University of Singapore,10 Kent Ridge Crescent,Singapore 119260,Singapore

出　　处：《Advances in Applied Mathematics and Mechanics》2014年第6期811-829,共19页应用数学与力学进展（英文）

基　　金：supported by the National Natural Science Foundation of China(11272153).

摘　　要：A boundary condition-implemented immersed boundary-lattice Boltzmann method(IB-LBM)is presented in this work.The present approach is an improvement to the conventional IB-LBM.In the conventional IB-LBM,the no-slip boundary condition is only approximately satisfied.As a result,there is flow penetration to the solid boundary.Another drawback of conventional IB-LBM is the use of Dirac delta function interpolation,which only has the first order of accuracy.In this work,the no-slip boundary condition is directly implemented,and used to correct the velocity at two adjacent mesh points from both sides of the boundary point.The velocity correction is made through the second-order polynomial interpolation rather than the first-order delta function interpolation.Obviously,the two drawbacks of conventional IB-LBM are removed in the present study.Another important contribution of this paper is to present a simple way to compute the hydrodynamic forces on the boundary from Newton’s second law.To validate the proposed method,the two-dimensional vortex decaying problem and incompressible flow over a circular cylinder are simulated.As shown in the present results,the flow penetration problem is eliminated,and the obtained results compare very well with available data in the literature.

关 键 词：Immersed boundary method lattice Boltzmann method velocity correction Lagrange interpolation no-slip boundary condition 

分 类 号：O17[理学—数学]