基于SPH法的正弦形消力池底板水跃现象数值模拟

利用光滑质点水动力学法(SPH方法)对正弦形消力池底板上的水跃现象进行数值建模,共模拟2种波形5种工况。将SPH方法的模拟值与已有文献的试验值作对比,验证数值模型及数值方法研究此类问题的可行性和适用性,并分析水面线、流速分布、跃长、共轭水深、消能率等水跃特性的变化规律。结果表明:SPH方法模拟结果与试验结果吻合度较高;水跃段流速分布不均匀、自由表面波动较大,且流层间存在相对运动从而形成旋滚,同等条件下随着弗劳德数的递增,掺气量和自由表面破碎现象越来越剧烈,旋滚的影响范围逐渐变大;正弦形底板消能率较光滑底板提高10%左右且所有工况消能率均在47%以上。

Numerical simulation of hydraulic jumps in a stilling basin with sinusoidal corrugated beds based on SPH method

Smooth particle hydrodynamics(SPH)method is used to study the characteristics of hydraulic jumps in a stilling basin with two kinds of sinusoidal corrugated beds under five conditions. Numerical results were compared with existing experimental values to verify the feasibility and applicability of the proposed numerical model and method. Characteristics of the water surface profile, the velocity distribution, the length of hydraulic jump, the conjugate depth ratio and the energy dissipation rate were analyzed. The present research shows that the results of SPH method is in a good agreement with experiments. The velocity distribution in the hydraulic jump section is non-uniform with relatively intensive free surface fluctuation. Eddies are formed due to the relative motion between the flow layers. With the increase of Fr number under the same conditions, the aeration and the free surface breakage phenomenon are more severe, and the influence range of the eddies gradually becomes wider. The energy dissipation rates on corrugated beds in all cases are above 47%, about 10% higher compared with those on smooth beds.