Two-Dimensional Numerical Model Of River-Network

With the development and need of science and technology , applying the hydraulics method to the river become more and more general, especially using more extensive in the area of plain which include river-network. The method used to simulate waterways of large scale by applying classical Saint-Venant and numerical simulation of differential equation was already very ripe. The method used to simulate two-dim river was also ripe even the past 20 years, but it is limited to apply among a small extend, and more for single river simulation. This paper has proposed to establish a model of two-dim river-network for basin, hope to solve two-dim simulation or two-dim coincidence with one-dim simulation of river-network.Under the inspiration of one-dim river-network computational pattern, was put forward the basic computing element concept of two-dim river-network. The two-dimensional river-network basic include : "single river" unit , "tree-like river-network " unit, "ring-like river-network" unit, "cross-like river-network " unit. Along with research went thorough, the computing element could increase correspondingly. The basic thought as follows: simulated these basic two-dimensional units separately. Express all variables to the relations of the water level of each unit the boundary. Through this way, may conveniently learn the hole-implicit method of one-din river-network. Regarded all units boundary's water level as the control point, established the closed equations to solve these water level points, and then may solve two-dim simulation or two-dim coincidence with one-dim river-network of entire basin.