一维悬移质泥沙数值模拟及其应用

1-D numerical simulation for convection-dominated sediment movement and its application

针对传统有限元方法在求解以对流作用为主的泥沙运动方程时所遇到的困难,应用特征有限元方法建立了一维悬移质泥沙对流扩散方程的数值模型并进行了误差分析.利用Matlab数值计算软件编程对水沙模型进行了数值计算,从数值解与解析解的对比以及对河津站1969～1999年实测数据的数值模拟结果可以看出:数值模型对河津站31年的含沙量有较好的模拟.所得数值模型可用于对含沙量较高河流在一段时间内进行模拟.

To the difficulty of the conventional finite ment movement equation, the numerical model and its element method resolving the diffusion-dominated sedierror analysis of 1-D convection-dominated sediment movement are constructed by the characteristic finite element method in this paper. The hydrodynamic model is computed by Matlab. From the comparison numerical between solution and analytic solution, and the result of numerical simulation of data measured practically by HeJin Measuring Station from 1969 to1999, it can be learned that the numerical model has a perfect simulation to sand cal model in this paper can be used to simulate the river content measured by HeJin in 31 years . So the numerical model in this paper can be used to simulate the river of high sand in a period of time.