应用无单元伽辽金法计算大坝稳定温度场

Application of element-free Galerkin method to computation of steady temperature field for dams

基于无单元伽辽金法基本理论,推导了稳态热传导问题的基本积分方程,并介绍了其离散形式中,包含刚度矩阵在内的各个系数矩阵和荷载向量的主要形成过程.采用VC++语言编制了二维无单元法计算稳态热传导问题的计算程序并通过典型算例验证了程序的正确性.应用该法分别计算了典型重力坝和拱坝的稳定温度场,并与有限元法计算结果对比,结果表明无单元法具有较好的精度.该法的计算理论和编程思路对采用无单元法研究温度场具有重要指导作用.

Based on the element-free Galerkin method, the basic equations for steady thermal conductivity problem are deduced; and then the shaping of the coefficient matrices and load vectors in the discretization form of them are presented. A computer program by VC＋ ＋ language is also developed to compute the two-dimensional steady thermal transfer problems. Via the computation of several samples under various loading cases, the validation of this method is carried out. Finally, the program is adopted to simulate the steady temperature fields for a gravity dam and an arch dam respectively. Results show that it works well and has a good accuracy according to comparison with the results based on FEM.