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.
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[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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