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拱坝稳定和破坏过程的三维有限元分析,对高性能并行计算提出了很高的要求。采用节点联系矩阵的概念,基于Jacobi预处理共轭梯度法,推导了适用于分布存储并行机的有限元并行element-by-element(EBE)方法,可以避免形成整体刚度矩阵,显著减少内存需求,并可自动实现计算任务的分配。编制了有限元并行计算程序,采用悬臂梁算例对其进行了验证,然后应用于二滩拱坝的有限元数值分析。计算结果表明,对拱坝地基系统这样复杂的三维结构,有限元EBE方法是一种很有效的并行计算方法。
Three-dimensional finite element analysis of the stability and failure process of arch dam puts forward high requirements for high-performance parallel computing. Based on Jacobi preconditioned conjugate gradient method, the finite element parallel element-by-element (EBE) method for distributed memory parallel machine is derived by using the concept of node contact matrix. It can avoid the formation of global stiffness matrix and significantly reduce the memory requirements. And can automatically calculate the distribution of tasks. The finite element parallel computing program is developed. The cantilever beam is used to validate it, and then applied to the finite element numerical analysis of Ertan arch dam. The calculation results show that the finite element EBE method is a very effective parallel calculation method for the complicated three-dimensional structure of arch dam foundation system.