Common-Refinement方法在三维流固耦合数值计算中误差分析与并行效率  

Error Analysis and Parallel Performance of 3D Common-Refinement Method for Unsteady Numerical Calculation of Fluid-Structure Interaction

作　　者：李裕龙 储南洋 胡湛 姚鹏 邓锐 Li Yulong;Chu Nanyang;Hu Zhan;Yao Peng;Deng Rui(College of Marine Science,Sun Yat-sen University,Guangzhou 119077,China;College of Ocean Engineering and Technology,Sun Yat-sen University,Guangzhou 119077,China)

机构地区：[1]中山大学海洋科学学院,广州119077 [2]中山大学海洋工程与技术学院,广州119077

出　　处：《天津大学学报（自然科学与工程技术版）》2018年第11期1201-1209,共9页Journal of Tianjin University：Science and Technology

基　　金：国家重点研发计划资助项目(2016YFC0402601);国家自然科学基金资助项目(51609269;51679053;51209051;51209048);海军装备预研基金资助项目(6140241010116CB01005)~~

摘　　要：本文成功实现了基于非匹配网格的三维Common-Refinement方法,可将其应用于离散后流体与弹性体的非重叠子区域之间的接触面,用于数值求解三维非定常流固耦合问题.首先,为了满足两者之间液体和弹性耦合界面间牵引力的平衡条件,本文系统研究了Common-Refinement方法的空间插值的准确性和可靠性.本文根据一系列的不同拓扑结构的网格划分方案,通过改流体和结构网格之间的网格匹配系数系统地评估Common-Refinement方法的准确性和精度,证明了Common-Refinement方法沿界面的流体和固体网格的数据传输具有稳定的二阶精度.进而将Common-Refinement方法应用于非定常流固耦合算例,研究了非定常计算中的误差累积以及Common-Refinement方法的并行效率.最后本文将本方法应用于三维标准的圆柱体-弹性板问题,并与文献中标准解进行了对比.求解结果证明了Common-Refinement方法在三维非定常流固耦合数值计算中能够保持全场二阶精度.A three-dimensional(3D)Common-Refinement method for non-matching meshes between discrete nonoverlapping sub-domains of incompressible fluid and nonlinear elastic structure was presented in this paper.To begin with,the accuracy of Common-Refinement method(CRM)to satisfy traction equilibrium condition along the fluidelastic interface with non-matching meshes was investigated.Then,the accuracy of CRM against the matching grid solution by varying grid mismatch between the fluid and solid meshes with different topological structures was systematically assessed.The second-order accuracy of CRM was acquired through uniform refinements of fluid and solid meshes along the interface.Meanwhile,error accumulation during unsteady fluid-structure interaction simulation as well as parallel performance of Common-Refinement method was investigated.In the end,a 3D benchmark problem of a cantilevered hyperelastic plate behind a circular bluff body was solved to verify the accuracy of coupled solutions with respect to the solution available in the literature.Numerical results show that CRM can maintain second-order accuracy for unsteady 3D fluid structure interaction numerical simulations.

关 键 词：流固耦合 误差分析 Common-Refinement 非匹配网格 

分 类 号：O353.4[理学—流体力学]