Abstract: The method of numerical solution of the diffusive difference scheme for one-dimensional unsteady flow is discussed. The effect of weighted factor a on stability of the solution is analyzed. Using the developed mathematic model for symmetric and unsymmetric open channels, under different initial and boundary conditions, the satisfactory results are obtained. It shows that this difference scheme can be used in engineering.

摘要： 本文对一维河渠不恒定流扩散差分格式数值解法进行了仔细探讨,分析了权因子α影响数值计算稳定性的原因,把建立的数字模型应用于对称、非对称明渠,在不同的初、边值条件下河渠不恒定流数值计算均取得十分良好成果,证明这种差分格式可应用于实际工程。