Pipeline transient flow simulation method based on Schohl convolution approximation

Abstract

The invention discloses a pipeline transient flow simulation method based on Schohl convolution approximation. The method comprises the following steps: constructing a pipeline system control equation containing a Zielke non-constant friction item and a viscoelastic item; expressing the control equation as a matrix form in a Riemannian problem solving format, and putting a non-constant friction item and a viscoelasticity item into a source item; establishing a computational grid under a finite volume method solving system, and calculating a grid boundary flux through a second-order Godunov format; carrying out schohl convolution approximation on Zielke non-constant friction items and viscoelastic items in source items, combining the source items into a matrix equation, and carrying out stability constraint; and giving initial calculation conditions in combination with actual engineering, and obtaining a calculation result. The Godunov format of the finite volume method is combined, the Schohl convolution approximation is carried out on the non-constant friction item and the viscoelastic item in the control equation, and the problems that an existing one-dimensional transient flow simulation method depends on the Kulandt number, the calculation time of the non-constant friction item and the viscoelastic item is long, and solving is complex can be solved.

Description

technical field [0001] The invention belongs to the field of computational hydraulics, in particular to a method for simulating non-constant frictional resistance and viscoelasticity of pipeline transient flow based on Schohl convolution approximation. Background technique [0002] Due to the sudden opening and closing of valves in the water pipeline network system, instantaneous high-pressure flow will be generated, which is called transient flow. If the pressure is too high, it will cause leakage or damage to the pipeline system, and even cause a pipe burst, which seriously threatens the safe supply of drinking water. Therefore, it is very important to ascertain the liquid flow state of the pipeline system to ensure the safe and stable operation of the water pipeline network. [0003] One-dimensional transient flow simulation of pipeline system is an effective means to ascertain the flow state of pipeline system. In the previous one-dimensional transient flow models, Zie...

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Problems solved by technology

[0005] Purpose of the invention: In order to overcome the problems of long calculation time, complex solution, poor versatility and difficulty in real-time monitoring in the one-dimensional transient flow model of the prior art, a non-constant friction model for pipeline transient flow based on Schohl convolution approximation is provided. Friction and Viscoelasticity Unsteady Friction and Viscoelasticity Simulation Method

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