CAJ | 학술논문

格子波尔兹曼方法(Lattice Boltzmann method,LBM)和浸入边界方法(Immersed boundary method,IBM)皆为近年来发展的可替代Navier-Stokes (N-S)方程求解复杂流体力学问题的数值模拟方法.本文采用浸入边界-格子波尔兹曼方法(IB-LBM),将IBM作为一种边界处理格式应用到LBM中,模拟了静止单圆柱及并排双圆柱绕流,与文献对比结果吻合良好,证明该方法具有模拟复杂边界物体绕流的能力.与采用虎克定理、直接力法计算体积力项的传统方法不同的是本方法运用反馈定理,即采用流场和流场内物体之间的速度、位移反馈来计算体积力项,使得该方法易于实施并具有优良的并行性.
격자파이자만방법(Lattice Boltzmann method,LBM)화침입변계방법(Immersed boundary method,IBM)개위근년래발전적가체대Navier-Stokes (N-S)방정구해복잡류체역학문제적수치모의방법.본문채용침입변계-격자파이자만방법(IB-LBM),장IBM작위일충변계처리격식응용도LBM중,모의료정지단원주급병배쌍원주요류,여문헌대비결과문합량호,증명해방법구유모의복잡변계물체요류적능력.여채용호극정리、직접역법계산체적력항적전통방법불동적시본방법운용반궤정리,즉채용류장화류장내물체지간적속도、위이반궤래계산체적력항,사득해방법역우실시병구유우량적병행성.
The lattice Boltzmann method (LBM) and the immersed boundary method (IBM) are alternative,computational techniques for solving complex fluid dynamics systems,and can take the place of the Navier-Stokes (N-S) equation.This paper proposes a novel immersed boundary-lattice Boltzmann method (IB-LBM) based on the feedback law.The method uses the immersed boundary concept in the LBM framework to capture the coupling between a body with complex geometry and a uniform fluid,Then,the flows around a stationary circular cylinder and two circular cylinders in a side by side arrangement are simulated by using the method.Results are agreed well with the benchmark data,so,the capability of the method for complex geometry is demonstrated.Different from the conventional IB-LBM,which uses the Hook' s law or the direct forcing method to compute the interaction force,the method uses the feedback law-the feedback of velocity field and displacement information to calculate the force,thus ensuring the method has advantages of easy implementation and full parallelism.