Godunov simulation method of pipeline leakage characteristics based on brunone dynamic friction

Abstract

The invention discloses a Godunov simulation method for pipeline leakage characteristics based on Brunone's dynamic friction resistance. Firstly, a non-constant pipeline flow control equation including Brunone's dynamic friction resistance model is constructed; , and transform the governing equation into a Riemann problem; then use the second-order Godunov scheme to calculate the grid interface flux; then process the boundary conditions including leakage, and calculate the fluid variables inside the control volume and the fluid variables at the leakage boundary of the control volume. The invention can solve the second-order accuracy problem of the very difficult and complex dynamic friction model in the MOC format, thereby more accurately and efficiently simulating the hydraulic transient characteristics of leaking pipelines, and ensuring the leakage detection and safe operation of the pipeline system.

Description

technical field [0001] The invention relates to a Godunov simulation method for pipeline leakage characteristics based on Brunone dynamic friction resistance, and belongs to the technical field of pipeline detection of hydropower stations (pump stations). Background technique [0002] Pipeline leakage detection is a hot and difficult issue in the global water supply industry. Pipeline leakage not only causes huge economic losses, but may also cause some secondary disasters, such as affected water quality and damage to building foundations. Therefore, accurate and effective leak detection methods are sought is an important research topic. Traditional steady-state or quasi-steady-state friction approximations cannot reproduce experimentally measured pressure damping in fast transient flows, so a dynamic friction model was introduced to account for pressure dissipation, and the results proved to be closer to experiment. The method of characteristic lines (MOC) is often used to...

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Problems solved by technology

[0004] Aiming at the problems of numerical dissipation, robustness and stability, and dynamic friction caused by the Courant number less than 1 in the actual pipeline detection during the hydraulic transient numerical simulation of pipeline leakage, the present invention proposes a The Godunov simulation method of pipeline leakage characteristics based on Brunone's dynamic friction can solve the second-order accuracy problem of the very difficult and complex dynamic friction model in the MOC format, thereby more accurately and efficiently simulating the hydraulic transient characteristics of leaking pipelines, ensuring that the pipeline system leak detection and safe operation of

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