大体积混凝土不稳定温度场求解的迭代算法

在大体积混凝土不稳定温度场计算中，无论是向前差分法、中点差分法还是向后差分法都会产生计算误差．根据拉格朗日中值定理及各节点温差和温度变化率的互不耦合假设，提出一种迭代算法，可以在适当增加差分步长的情况下，减少计算量并保证求解精度，或在保持常规差分步长的情况下，增加少许计算量而提高求解精度，使数值计算结果逼近理论解，是一个便于工程应用的有效计算方法．

An iterative algorithm for solution of unsteady temperature field of massive concrete

No matter what method one uses to the unsteady temperature field calculation of massive concrete forward difference method, central difference method or backward difference method, the error of temperature is inevitable. Based on Lagrange mean-value theorem and the uncoupling assumption of temperature difference and temperature change rate among all nodal points, an iterative algorithm is put forward, which proves to be an effective method for temperature field calculation of massive concrete. By this method, the calculation cost is de- . creased and at the same time, the solution precision can be under control when the time step is properly increased. On the other hand, if the time step is kept in a conventional level, the calculation cost is increased slightly, yet the solution precision can be greatly increased, and the numerical calculated results may approach the theoretical results.