时间二次插值求解浅水方程的显式模型

A Second-order Explicit Model for Solving 2-D Shallow Water Equation

在文献[1]的基础上,提出了一种对时间项进行二次插值所得到的显式模型,其有更好的稳定性及经济性,由算例表明,本模型具有解法直观,易编程序,节省计算时间及内存,精度较高等优点。

This paper presents a second-order explicit model for solving 2-D shallow water equation. The relation between all functions (u, v, ξ etc) and time variation is assumed to be second-order in-every time-step. All spatial derivatives are defined at node of triangular element. This model is applied to calculate the current of Changjiang River Estuary. The computational results agree well with survey data. It demonstrates the economical advantages and the efficiency of the model.