River network one-dimensional constant flow solving method based on river network incidence matrix

Abstract

The invention discloses a river network one-dimensional constant flow solving method based on a river network incidence matrix. The method comprises the steps of drawing a corresponding river networkdirected graph according to a river network structure; constructing a river network association matrix according to the river network digraph; constructing a river network one-dimensional constant flow comprehensive equation according to the river network incidence matrix; setting water level conditions of one or more outlets in the river network, substituting the set known water level conditionsinto the to-be-solved comprehensive equation, and moving the known water level conditions to the right end of the to-be-solved comprehensive equation to eliminate the singularity of the coefficient matrix of the to-be-solved comprehensive equation; and solving a to-be-solved comprehensive equation with one or more outlets by using a Newton iteration method. According to the method, the water levelboundary conditions can be set more conveniently, and the one-dimensional constant flow of the river network with more than one water level boundary condition can be solved.

Description

technical field [0001] The invention relates to the technical field of river network water flow calculation, in particular to a method for solving one-dimensional constant flow of a river network based on a river network correlation matrix. Background technique [0002] At present, river network structures are ubiquitous in nature. From the perspective of river network topology, river networks can be divided into acyclic river networks and ring river networks. The solution to the one-dimensional constant water flow in these two types of river networks is a key issue in river dynamics. An important issue in the field, the acquisition of hydraulic elements (such as flow, velocity, water level, etc.) in the river network is not only the key to solving various water conservancy problems, but also solves ecological and environmental problems such as aquatic organism migration and pollutant diffusion in an uncoupled manner. prerequisites of the problem. [0003] The solution to t...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a method for solving the one-dimensional constant flow of the river network based on the river network correlation matrix. This method can not only set the water level boundary condition more conveniently, but also can solve the one-dimensional river network with more than one water level boundary condition. Constant flow, which solves the problem of inconvenient handling of boundary conditions

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