目前,有限元法在理论上和实践上都日趋成熟.但仍然有许多问题使计算工作者感到烦恼.比如,在流体计算中一些包含有自由面一类的问题,在结构计算中的埋性变形及断裂问题等,都将要解一个非线性方程组.对于非线性方程组的解法,文献[1]中有较系统的介绍,原则上总是可解的.但在实际计算中,即使迭代格式能够收敛,也因冗长的计算耗费大量机器时间.又如为了获得比较精确的结果,需要划分稠密的计算网格,这样,对机器容量的要求又往往难以满足等等. 本文着重讨论把分块解法应用于自由面重力流问题、水轮机转轮内部的流场计 At present, the finite element method is maturing both theoretically and practically. However, there are still many problems that bother the computational worker. For example, some problems including free surface in fluid calculations are buried in structural calculations. The deformation and fracture problems will all solve a nonlinear system of equations. For the solution of the nonlinear equations, a more systematic introduction in [1] is always solvable in principle, but in practical calculations, even if iterative The format can converge, and it also consumes a lot of machine time due to lengthy calculations. For example, in order to obtain more accurate results, it is necessary to divide dense computational grids. In this way, the requirements for machine capacity are often difficult to meet, etc. This article focuses on the discussion of scoring. Block solution applied to the free surface gravity flow problem, the flow field meter inside the turbine runner