Pipeline hydraulic transient simulation method implicitly considering dynamic friction resistance and storage medium

A technology of hydraulic transient and simulation methods, which is applied in complex mathematical operations, instruments, electrical digital data processing, etc., and can solve problems such as inaccurate and inefficient methods

Inactive Publication Date: 2020-11-24
HOHAI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] Purpose of the invention: Aiming at the deficiencies in the prior art, the present invention proposes a pipeline hydraulic transient simulation method and storage medium i

Method used

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  • Pipeline hydraulic transient simulation method implicitly considering dynamic friction resistance and storage medium
  • Pipeline hydraulic transient simulation method implicitly considering dynamic friction resistance and storage medium
  • Pipeline hydraulic transient simulation method implicitly considering dynamic friction resistance and storage medium

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Embodiment 1

[0086] Such as figure 1 As shown, a pipeline hydraulic transient simulation method that implicitly considers dynamic friction includes the following steps:

[0087] Step 1, establishing a pipeline hydraulic transient mathematical model, the basic equation of which is the non-constant pipeline control equation considering Brunone (Bruno) dynamic friction;

[0088] The governing equation of the pipeline hydraulic transient mathematical model is:

[0089]

[0090]

[0091] In the formula, H is the water head of the piezometric tube; V is the average flow velocity in the pipeline; a is the speed of sound wave propagating in water; g is the acceleration of gravity; x is the distance along the pipeline axis; t is time; D is the pipe diameter; f q It is the quasi-steady-state friction coefficient, which is determined by Hagen-Poiseuille (Hagen-Poiseuille) law or Colebrook-White (Kolebrook-White) formula. When the Reynolds number Re is less than 2320, that is, laminar flow stat...

Embodiment 2

[0187] A computer-readable storage medium storing one or more programs comprising instructions that, when executed by a computing device, cause the computing device to perform pipeline hydraulics implicitly considering dynamic friction Transient simulation method.

[0188] A computing device comprising, one or more processors, memory, and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the The one or more programs include instructions for performing a pipeline hydraulic transient simulation method that implicitly considers dynamic friction.

Embodiment 3

[0190] The initial conditions brought into the actual working conditions, including the upstream reservoir or tank head H r , the pipe diameter D, the number N of control bodies divided according to the length of the pipe, and the length Δx of each control body, the pipe wave velocity a, the Reynolds number Re, etc., the piezometric head H of each control body in the pipeline can be obtained and flow velocity V, thus realizing the simulation of pipeline hydraulic transients.

[0191] In order to verify and analyze the simulation effect of the pipeline hydraulic transient simulation method implicitly considering dynamic friction of the present invention, the pipeline hydraulic transient experimental device system designed and built by Bergant in 2001 was selected to verify the effectiveness of the method of the present invention. The condition is: the constant water head of the upstream tank is 32m, the pipe diameter is 22.1mm, and the pipe length is 37.23m. The measured wave v...

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Abstract

The invention discloses a pipeline hydraulic transient simulation method considering dynamic friction implicitly and a storage medium. The method comprises the following steps: establishing a controlequation of a pipeline hydraulic transient mathematical model; under an FVM system, dividing a pipe section into N control bodies, establishing a calculation grid, and converting a control equation ofthe pipeline hydraulic transient mathematical model into a Riemannian problem solving format; according to a Riemannian problem solving format, adopting a second-order Godunov format to calculate theflux of the interface of the control body in the grid, adding a virtual control body to solve the flux of the interface of the boundary control body, and then obtaining the fluid variable of each control body. According to the method, the water hammer problem is simulated by utilizing the second-order Godunov format of the improved Brunone dynamic friction resistance model, and the virtual control body method for calculating the boundary control body is provided, so that the problems of inaccuracy and inefficiency in the existing method for simulating the hydraulic transient characteristics of the pipeline can be better solved.

Description

technical field [0001] The invention relates to a pipeline hydraulic transient simulation method implicitly considering dynamic friction resistance and a storage medium, and belongs to the technical field of hydraulic numerical simulation calculation of hydropower stations (pump stations). Background technique [0002] Accurate and efficient pipeline hydraulic transient numerical simulation is crucial to the rational design and safe operation of pipeline systems. Traditional water hammer algorithms incorporating steady-state or quasi-steady-state friction terms have achieved satisfactory results for simulations of slow transient processes, however steady-state or quasi-steady-state friction approximations cannot reproduce experiments in fast transient flows The pressure damping was measured, so a dynamic friction model was introduced to account for the pressure dissipation, and the results proved to be closer to the experiments. The method of characteristic lines (MOC) is o...

Claims

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Application Information

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IPC IPC(8): G06F30/28G06F17/11G06F119/14
CPCG06F17/11G06F30/28G06F2119/14
Inventor 周领李赟杰曹云潘天文方浩宇薛子剑
Owner HOHAI UNIV
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