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利用无单元伽辽金法的高精度优势,探讨研究其在大体积混凝土智能通水及精准温控中的应用.首先将大体积混凝土通水冷却问题近似为轴对称热传导问题,使用二维背景网格来离散对称截面,提出了基于无单元伽辽金法的基本理论及数值计算过程;当不考虑沿程水温变化时,问题进一步简化为轴对称平面问题,并给出了相应的计算公式;对于典型二期通水冷却问题,建立了不同密度的背景网格模型并进行了计算分析,结果显示无单元伽辽金法在求解这种问题时具有良好收敛性,且采用相同节点时计算精度明显高于有限元法.进一步的工程应用则还需开展三维问题沿程水温模拟及无单元伽辽金法与有限元法的耦合等研究.
Using the advantage of high precision of element-less Galerkin method, the application of Galerkin method in mass water flow and precision temperature control is discussed.Firstly, the problem of water-cooled mass concrete is approximated as axisymmetric heat conduction problem, The basic theory and numerical calculation process based on element-less Galerkin method are proposed. When the variation of water temperature along the route is not taken into account, the problem is further simplified to the axisymmetric plane problem, and the corresponding formula is given For the typical two-phase water cooling problem, a background grid model with different densities was established and calculated. The results show that element-free Galerkin method has good convergence in solving this problem, and when the same node is used, The accuracy is obviously higher than that of the finite element method.For further engineering application, we need to simulate the water temperature along the three-dimensional surface and the coupling between element-less Galerkin method and finite element method.