一种隐式扩散浸入边界-格子Boltzmann方法及应用

王文全 王金霖 骆佳玲

摘 要：結合格子Boltzmann方法和隐式扩散浸入边界方法，实现流体-固体耦合运动的求解。预测的速度和压力场可以通过格子Boltzmann方法快速求解，而流固耦合界面力由满足流固界面的无滑移边界条件隐式获得，固体边界节点与流场节点间的信息交换通过高阶导数光滑函数实现。该方法的主要优点是易于实施，效率高，并且减少了非物理振荡和非物理流线穿透。为了确定该数值方法的有效性，通过圆柱绕流和翼型绕流基准算例证实了该方法的可靠性;模拟不同雷诺数下被动旋转转子与流体的相互作用，进一步验证了该方法的鲁棒性。

关键词：格子Boltzmann方法; 隐式扩散浸入边界法; 高阶光滑函数;流体固体相互作用

中图分类号：O35

文献标志码：A

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（責任编辑：于慧梅）

Abstract：

The lattice Boltzmann method and the implicit diffused interface immersed boundary method are combined to solve the fluid-solid coupling motion.The predicted velocity and pressure fields can be solved quickly by lattice Boltzmann method. The fluid-structure interface forces are obtained implicitly by the no-slip boundary condition satisfying the fluid-structure interface. The information exchange between solid boundary nodes and flow field nodes is realized by the high-order derivative smooth function.The main advantage of this present method is that it is not only simple in concept and easy for implementation， but also it is of high efficiency and reduces the non-physical oscillations. In order to identify the effectiveness and validity of this numerical method， to flow around a stationary circular cylinder and airfoil NACA0012 are simulated firstly. It clarified that this method is reliable and the no-slip boundary is satisfied very well. Then， the interaction between the passively rotating rotor and the fluid under different Reynolds numbers is simulated to further verify the robustness of the proposed method.

Key words：

lattice Boltzmann method; implicit diffused interface immersed boundary method; high-order smooth functions; fluid-solid interaction

王文全，男，1977年生，四川南充人，博士，教授，博士生导师，霍英东青年基金获得者，云南省中青年学术与技术带头人，云南省万人计划产业技术领军人才，云南省引进高层次人才（二层次），四川大学“双百人才工程A计划”。长期潜心于多场耦合基础理论以及可再生能源利用方面的研究。已出版学术专著2部，发表学术论文120余篇。申请国内发明专利17项，已授权9项。获云南省自然科学一等奖2项，云南省自然科学二等奖2项。主持/参与完成国家自然科学基金重大研究计划项目、国家自然科学基金重点项目、云南省重大科技专项等纵向科技项目19项以及其它横向项目多项。