Method for simulating gas-liquid two-phase homogeneous flow of water conveying pipeline based on coupling energy equation

Abstract

The invention discloses a method for simulating a gas-liquid two-phase homogeneous flow of a water conveying pipeline based on a finite volume method coupling energy equation. The method comprises the following steps: constructing a hyperbolic partial differential equation system model containing a free gas homogeneous two-phase flow combined energy equation by introducing the energy equation; constructing existence conditions and a judgment model of each basic wave under the system model; constructing three approximate Riemann solvers at a breakpoint under the system model; reconstructing a flow variable to enable the system model to reach second-order precision in space; according to existing boundary conditions, obtaining a second-order boundary value by utilizing Riemannian invariant iteration through a Newton iteration method; introducing a source item to obtain a format discrete equation; and establishing a stability constraint condition, and updating the initial variable to carry out next time step calculation. On the basis of a finite volume method Godunov format, a control model of a gas-liquid two-phase homogeneous flow energy equation is introduced, and the simulation method which is simple in algorithm and easy to implement is provided, so that a high-precision solution is obtained on the premise of high calculation efficiency.

Description

technical field [0001] The invention belongs to the technical field of hydraulic numerical simulation calculations of hydropower stations, and in particular relates to a simulation method for gas-liquid two-phase homogeneous flow in water pipelines based on a finite volume method coupling energy equation. Background technique [0002] In the water pipeline system, the sudden opening and closing of the valve or the unit may cause a sudden change in the pressure in the pipeline. When the pressure change in the pipeline exceeds the bearing capacity of the pipe wall material, it may cause serious damage to the pipeline system and even threaten personal life. Safety. In recent years, the problem of two-phase flow in pipelines has been a hot research topic at home and abroad. Unlike the general single-phase flow problem, two-phase flow needs to consider the coupling effect between different phases. In two-phase flow problems, the homogeneous flow model is considered to be the mos...

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Problems solved by technology

[0005] Purpose of the invention: In order to overcome the shortcomings of low calculation accuracy in simulating the gas-liquid two-phase homogeneous flow in the water pipeline in the prior art, provide a gas-liquid water pipeline based on the coupled energy equation of the finite volume method The simulation method of two-phase homogeneous flow, based on the finite volume method Godunov scheme, provides a simple algorithm and easy-to-implement simulation method by introducing the control model of the energy equation of the gas-liquid two-phase homogeneous flow, with high computational efficiency A high-precision solution is obtained under the premise of

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