大体积混凝土不稳定温度场的蒙特卡罗解

Monte Carlo Method for Solving the Problem of Transient Temperature Field

利用求偏微分方程的蒙特卡罗算法,通过在时空域中不规则网格随机游动来求解大体积混凝土不稳定温度场。应用这种方法可以在不分解总刚矩阵的情况下,独立的求解各时间段中单个结点的温度值。相对通常使用的有限单元法,计算更加灵活并不存在时段累积误差,对环境温度波动的模拟也更加方便。给出了相应的随机游动模型及其证明,并通过实例计算加以验证。

In this paper, by using Monte Carlo Method with irregular grid random walk in time-space domain the problem of mass concrete transient temperature field was solved. By using this method, temperature value on any single node at any moment can be solved with no forming the total stiffness matrix. Compared with Finite Element Method, this method is more convenient and there does not exist any accumulative error, and easily to simulate environmental temperature change. There are random walk model and the method which are used to study an example.