基于重叠边界的有限元与离散元耦合异步长并行计算方法  

Parallel Computing Method of FEM DEM with Multiple⁃time Step Based on Overlapping Boundary

作　　者：李佟 金先龙[1,2] 王小卫[3] 潘浚铭 杨培中[1,2] LI Tong;JIN Xianlong;WANG Xiaowei;PAN Junming;YANG Peizhong(School of Mechanical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China;Shanghai Spaceflight Precision Machinery Institute,Shanghai 201600,China)

机构地区：[1]上海交通大学机械与动力工程学院,上海200240 [2]上海交通大学机械系统与振动国家重点实验室,上海200240 [3]上海航天精密机械研究所,上海201600

出　　处：《农业机械学报》2023年第6期419-426,共8页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金项目(11772192)。

摘　　要：为了减少有限元和离散元耦合领域问题的计算时间,本文建立了有限元-离散元耦合异步长并行计算方法。整个计算模型分为有限元和离散元两类计算区域,根据每个子域单元特性选择合适的积分时间步长。每个子分区均采用显式时间积分格式进行求解,采用重叠边界法处理边界耦合问题,不涉及子循环过程的插值和截断过程。数值算例表明该方法在保证高精度的同时有效降低了计算时间。The development of computer hardware technology has made numerical calculations of large⁃scale complex mechanical problems more efficient.To reduce the computational time in the fields of coupled finite⁃element and discrete⁃element(FEM DEM),an efficient asynchronous step integration parallel computational algorithm based on overlapping boundary was proposed.The whole model was divided into an FEM subdomain and a DEM subdomain,where the integral step size was depended on the element characteristics of the subdomain.An explicit time integral scheme was adopted in both subdomains.The method of overlapping boundary was adopted to handle the interface coupling problem,introducing the continuity transfer of overlapping boundary data into parallel computing,utilizing dynamic overlapping boundary methods and interprocess communication to transfer boundary information between adjacent subdomains,without the interpolation process in the subcycling process.The use of overlapping bonndaries can effectively reduce computational erros,and compared to the transition errors and the transition layer algorithm,the overlapping boundary area was small and easy to operate.Numerical examples showed that the algorithm proposed can improve the computational efficiency with a high computational accuracy.The research result can provide ideas for the calculation of large⁃scale coupled finite element discrete element problems.

关 键 词：有限元-离散元 重叠边界 异步长 并行计算 

分 类 号：O313.7[理学—一般力学与力学基础]