State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, People's Republic of China.
Phys Rev E. 2019 Feb;99(2-1):023310. doi: 10.1103/PhysRevE.99.023310.
A hybrid numerical method which couples the immersed-boundary lattice Boltzmann method with the smoothed point interpolation method (S-PIM) is presented in this paper for the fluid-structure interaction problems involving large solid deformation. In the method, the lattice Boltzmann method is adopted for its advantages in modeling complex fluid flow, the S-PIM is coupled for its robustness in dealing with large solid deformation, and the immersed-boundary method is used for its efficiency in handling the interaction of fluid and solid. In the fluid-solid coupling procedure, a force correction technique based direct-forcing scheme is introduced to enforce nonslip boundary condition with high accuracy, and an averaged dual time stepping scheme is proposed to get stronger robustness of the present method. Numerical experiments are carefully carried out from benchmark problems such as cylinder Couette flow and a beam in a fluid tunnel to more challenging problems such as a flexible beam in the wake of a cylinder and the swimming of a two-dimensional fishlike body. Comparisons of the numerical results with the referenced solutions show that all desirable features of these coupled methods are inherited in the present coupling scheme, and the efficiency of the present method to model such complex problems is verified.
本文提出了一种混合数值方法，将浸入边界格子玻尔兹曼方法与平滑点插值方法（S-PIM）相结合，用于涉及大固体变形的流固耦合问题。在该方法中，采用格子玻尔兹曼方法建模复杂的流体流动，采用 S-PIM 处理大固体变形的稳健性，采用浸入边界方法处理流体和固体的相互作用。在流固耦合过程中，引入基于力修正技术的直接强制方案，以高精度强制执行无滑移边界条件，并提出平均双时间步长方案，以增强本方法的稳健性。从圆柱 Couette 流动和流道中的梁等基准问题到更具挑战性的问题，如圆柱尾流中的柔性梁和二维鱼类的游动，进行了仔细的数值实验。与参考解的数值结果比较表明，这些耦合方法的所有理想特性都在本耦合方案中得到了继承，并且验证了本方法对这种复杂问题建模的效率。
