Solution of one-dimensional hydrodynamic model of dendritic river network based on explicit finite volume method

Abstract

The invention provides a one-dimensional tree-shaped river network hydrodynamic model brake point solution method based on explicit finite volume method, which comprises the following steps: step S1,dividing a computational grid based on a finite volume frame; 2, classifying that fork point grid, comprising: a non-head end node, a head node of a main branch stream, a main stream end node and a branch stream end node; Step S3, according to the classification result, the boundary mesh type corresponding to the brake points is judged, different calculation and treatment are carried out for different brake points, and the calculation result is used for the calculation of the hydrodynamic model. The method of the invention is simple, does not need special treatment, corresponds to boundary conditions in calculation, ensures the conservation of mass and momentum in the hydrodynamic calculation process, and is easy to couple the two-dimensional hydrodynamic model and the hydrological model of the lake.

Description

technical field [0001] The invention relates to the technical field of hydrodynamic model calculations, in particular to a one-dimensional tree-shaped river network hydrodynamic model branch solution method based on an explicit finite volume method. Background technique [0002] The solution of river network hydrodynamic problems boils down to solving partial differential equations under given boundary conditions and initial conditions. There are many methods for numerically solving the initial boundary value problem of partial differential equations, such as finite difference method, finite element method, finite volume method and so on. The finite difference method usually uses a truncated series to approximate the differential equation, which is a direct application of the derivative definition. The finite element method uses the variational principle of the problem or the weighted remainder method to control the error between the approximate solution and the real solutio...

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Problems solved by technology

[0003] At present, in the hydraulic calculation of the river network, the implicit finite difference method is mostly used to solve the problem, because the uncertainty of the series may lead to problems in the conservation of mass and momentum, and there will be "jumps" in the calculation, that is, discontinuity.

If the explicit finite volume method is used to solve the river network, although the conservation of mass and momentum can be guaranteed, a new derivation of the solution at the branch point is required

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