River network one-dimensional steady flow calculation method based on river network incidence matrix

Abstract

The invention provides a river network one-dimensional steady flow calculation method based on a river network incidence matrix. The method includes a first step of drawing corresponding river network digraphs according to a river network structure, a second step of building the river network incidence matrix according to the river network digraphs, a third step of building a river network one-dimensional steady flow synthesis equation according to the river network incidence matrix, and a fourth step of eliminating strangeness of the river network one-dimensional steady flow synthesis equation and solving the river network one-dimensional steady flow synthesis equation which eliminates the strangeness through the Newton iteration method. The river network incidence matrix constructed through the river network one-dimensional steady flow calculation method can be used for expressing river network information in any structure, thereby being suitable for solution for the river network one-dimensional steady flow of single riverways, loop-free, looped and other forms. Only one river network incidence matrix needs to be constructed, and the river network one-dimensional steady flow can be solved through the Newton iteration method, the river network one-dimensional steady flow calculation method has rapid rate of convergence and can effectively reduce calculated amount.

Description

technical field [0001] The invention relates to a river network one-dimensional constant flow calculation method based on a river network correlation matrix, and belongs to the technical field of river network water flow calculation. Background technique [0002] 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 the field of river dynamics. important question. Among them, 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 a prerequisite for solving ecological and environmental problems such as aquatic organism migration and pollutant diffusion in an uncoupled manner. condition. [0003] In the absence of exte...

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Problems solved by technology

[0006] In order to solve the problems existing in the existing one-dimensional constant flow calculation method of the river network that it is not applicable to the acyclic river network and the workload in the early stage is relatively large, the present invention proposes a one-dimensional constant flow calculation method for the river network based on the correlation matrix of the river network

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