三维圆柱体-弹性板非线性流固耦合数值计算  

Numerical calculation of 3D nonlinear cylinder-elastic plate fluid-structure interaction

作　　者：李裕龙 储南洋 邓锐 牛丽霞 Li Yulong;Chu Nanyang;Deng Rui;Niu Lixia(College of Marine Science;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,广东广州119077 [2]中山大学海洋工程与技术学院,广东广州119077

出　　处：《华中科技大学学报（自然科学版）》2018年第11期18-22,104,共6页Journal of Huazhong University of Science and Technology(Natural Science Edition)

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：采用彼得罗夫-盖尔金有限元法离散不可压缩流体,并对大变形弹性结构体使用连续盖尔金有限元法进行离散.使用任意的拉格朗日-欧拉（ALE）方法处理流固网格的大幅变形,并且采用全解耦的隐式分区方法分别求解流固两相,进而将其应用于流固耦合问题的数值计算.根据一系列的网格划分方案,通过改流体和固体网格之间的网格数量系统地进行了网格收敛性测试,同时将开发的求解方法应用于三维标准的圆柱体-柔性板问题,并与文献中标准解进行对比.结果表明：开发的求解器在流固耦合问题中具有较好的准确性和可靠性.The fluid flow was discretized by using a stabilized Petrov-Galerkin method,and the large deformation structural formulation relies on a continuous Galerkin finite element method.An arbitrary Lagrangian-Eulerian（ALE） formulation was achieved in a staggered partitioned manner by means of fully decoupled implicit procedures for the fluid and solid discretization.According to the different mesh dividing methods,the detailed mesh convergence study was carried out systemically.A three dimensional（3 D） benchmark problem of a cantilevered hyperelastic plate behind a circular bluff body was solved,and the accuracy of coupled solutions with respect to the available solution in literatures was compared.Results show that the partitioned treatment is accurate and reliable for low solid-to-fluid density ratio.

关 键 词：流固耦合 圆柱体-弹性板 彼得罗夫-盖尔金有限元 盖尔金有限元 区域分解 任意拉格朗日-欧拉 

分 类 号：U661.31[交通运输工程—船舶及航道工程]