A method and system for simulating flood scour evolution of steep riverbeds
A simulation method and riverbed technology, applied in the field of simulation and simulation, can solve the problems of rare quantitative and high-precision numerical simulation, prediction, numerical oscillation, and failure to fully consider hidden dangers.
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Embodiment 1
[0054] as attached figure 2 It is a longitudinal section diagram of a calculation section of a steep riverbed. Taking the longitudinal section of a calculation section of a steep riverbed as an example, the present embodiment is based on the following non-constant water, sand, and riverbed deformation equations, and its mathematical formula is as follows:
[0055] Water flow continuity equation:
[0056] Water flow equation of motion:
[0057] Transport equation of moving sediment:
[0058] River bed deformation equation: In the formula, h is the water depth; q=uh, that is, the single-width flow; u is the average flow velocity of the water depth; S 0 and S f are the bottom slope and friction slope, respectively; q s is the single-width sediment transport rate; g is the acceleration of gravity; △ is the relative density difference between water flow and sediment; d 50 is the median particle size of the sediment; τ * is the dimensionless shear stress of water flow...
Embodiment 2
[0113] This embodiment provides a steep river bed flood scour evolution simulation system, its specific implementation structure is as follows Figure 4 As shown, specifically, the following modules may be included: a discrete mixing module 21, a variable U solution module 22, a differential reconstruction module 23, a single-width sediment transport rate module 24 and a riverbed surface elevation module 25; wherein,
[0114] Discrete mixing module 21: it is used for adopting space discrete sub-item mixing method to water flow vector equation: process;
[0115] where the variable flux source term in, y is the water level, y=h+z b ; h is the water depth; q=uh, that is, the single width flow; u is the average flow velocity of the water depth; S 0 and S f Respectively, the bottom slope and the friction slope; g is the acceleration of gravity;
[0116] Variable U solution module 22: use the Godunov-Riemann format to process the water flow vector equation with the spat...
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