任意复杂流-固边界的格子Boltzmann处理方法  

A novel lattice Boltzmann method for dealing with arbitrarily complex fluid-solid boundaries

作　　者：史冬岩[1] 王志凯[1] 张阿漫[2] 

机构地区：[1]哈尔滨工程大学机电工程学院,哈尔滨150001 [2]哈尔滨工程大学船舶工程学院,哈尔滨150001

出　　处：《物理学报》2014年第7期213-221,共9页Acta Physica Sinica

基　　金：中组部青年拔尖人才支持计划;新世纪优秀人才支持计划(批准号:NCET100054);国防基础科研计划(批准号:B2420133001)资助的课题~~

摘　　要：本文提出了一种适用于流固耦合领域中任意复杂边界条件的lattice Boltzmann处理方法.该方法基于half-way反弹模型,在流固耦合处构建了一层虚拟边界,并结合有限差分的方法,获取虚拟边界上的变量值.改进后的方法确保了粒子反弹位置与宏观速度采集点的位置相同,计入了实际物理边界与网格线不重合时,偏移量对计算结果的准确影响,而且其适用范围被扩展到了任意静止或运动、平直或弯曲的复杂边界.文中研究了该方法在Poiseuille流、圆柱绕流和Couette流等经典条件下的边界处理能力,结果表明该方法与理论值符合良好,且当实际物理边界与网格线不重合时,与已发表文献中的结果相比,具有更高的精度.A suitable arbitrarily complex boundary condition treatment using the lattice Boltzmann sheme is developed in the fluid-solid coupling field. The new method is based on a half-way bounce back model. A virtual boundary layer is built with the fluid-solid coupling, and all the properties used on the virtual boundary are inter-/extrapolated from the surrounding nodes combining with the finite difference method. The improved method ensures that the particles bounce the same location as that of the macro-speed sampling point, and considers the offset effect on the accuracy of the calculated results when the actual physical borders and the grid lines do not coincide. And its scope is extended to any static or mobile, straight or curved boundary. The processing power of the method under the classic conditions, such as the Poiseuille flow, the flow around a circular cylinder, the Couette flow, etc. is studied. Results prove that the theoretically calculated values agree well with the experimental data. Compared with the results published in the literature, this method has a greater precision when the actual physical borders and gridlines do not coincide.

关 键 词：格子BOLTZMANN方法 边界处理 流固耦合 虚拟边界 

分 类 号：O353[理学—流体力学]