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An open channel non-constant flow grid-free particle simulation method containing section change

A technology of unsteady flow and section change, applied in the field of fluid mechanics, it can solve problems such as grid distortion, numerical solution instability, numerical dissipation, etc., and achieve the effect of convenient calculation process.

Pending Publication Date: 2019-06-28
TIANJIN UNIV
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Problems solved by technology

[0002] In the simulation of shallow water waves, the traditional grid method to solve the governing equation is prone to the problem of grid distortion in the high Vilar grid method, which causes numerical dissipation, numerical oscillation or instability of the numerical solution, etc. various numerical problems

Method used

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  • An open channel non-constant flow grid-free particle simulation method containing section change
  • An open channel non-constant flow grid-free particle simulation method containing section change
  • An open channel non-constant flow grid-free particle simulation method containing section change

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Embodiment Construction

[0066] Technical scheme of the present invention is:

[0067] A meshless particle simulation method for unsteady flow in an open channel with section changes, comprising the following steps:

[0068] Step 1, initialize the relevant variables and operating parameters of the system;

[0069] Step 2, generating particle information;

[0070] Step 3, list the solution equations and iteratively calculate:

[0071] The one-dimensional shallow water wave equation to be solved is:

[0072]

[0073]

[0074] Among them, t is time, x is position, A is cross-sectional area, u is water velocity, H is water depth, g is gravity acceleration, S 0 is the riverbed slope, S f is the friction item.

[0075] According to the material derivative of the moving fluid, equations (1) and (2) can be transformed into Lagrangian form:

[0076]

[0077]

[0078] For any one-dimensional smooth function f(x), its integral expression is:

[0079]

[0080] Where δ(x-ξ) is the Dirac functio...

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Abstract

The invention relates to the technical field of fluid mechanics, and provides an open channel non-constant flow mesh-free particle simulation method containing cross section changes to simulate the open channel non-constant flow problem containing the cross section changes. Therefore, the technical scheme adopted by the invention is as follows: the open channel non-constant flow mesh-free particlesimulation method containing the section change comprises the following steps: step 1, initializing related variables and operating parameters of a system; Step 2, generating particle information; Step 3, listing a solving equation and performing iterative calculation; step 4, outputting a result: updating the result every time calculation of one time step is completed, namely simulating the water depth, the cross sectional area and the flow velocity of the open channel water flow at each moment; And completing the circulation of the time step and outputting a final result. The method is mainly applied to an open channel non-constant flow gridless particle simulation occasion.

Description

technical field [0001] The invention relates to the technical field of fluid mechanics, in particular to a gridless particle simulation method for unsteady flow in an open channel with section changes. Background technique [0002] In the simulation of shallow water waves, the traditional grid method to solve the governing equation is prone to the problem of grid distortion in the high Vilar grid method, which causes numerical dissipation, numerical oscillation or instability of the numerical solution, etc. Various numerical problems. The meshless method based on the Lagrangian particle model can fully overcome various numerical problems caused by the mesh method, and the calculation process is more convenient. The Lagrange meshless particle method can deal with large deformation and moving materials. interfaces, free surfaces, etc. Contents of the invention [0003] In order to overcome the deficiencies of the prior art, the present invention aims to propose a meshless ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/11G06T17/00
Inventor 杨丽芸赵来平侯庆志魏建国
Owner TIANJIN UNIV
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