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Based on δ-LES-SPH for simulating turbulence over stepped spillway

DOI：10.7511/jslx20210525001

 作者 单位 高仁祖 青海大学水利电力学院, 西宁 810016黄河上游生态保护与高质量发展实验室, 西宁 810016 吴海涛 青海大学水利电力学院, 西宁 810016黄河上游生态保护与高质量发展实验室, 西宁 810016 顾声龙 青海大学水利电力学院, 西宁 810016黄河上游生态保护与高质量发展实验室, 西宁 810016 田丽蓉 青海大学水利电力学院, 西宁 810016黄河上游生态保护与高质量发展实验室, 西宁 810016 郑温刚 青海大学水利电力学院, 西宁 810016黄河上游生态保护与高质量发展实验室, 西宁 810016

δ-LES-SPH模型较传统SPH,在控制方程里添加了扩散项和粘性项来稳定方程格式,并且这两项的系数均由湍流封闭模型来确定。基于Mascio提出的大涡模型思想,实现了δ-LES-SPH模型的方法,并利用溃坝和宽顶堰进行了算例验证。将δ-LES-SPH的模拟值与已有文献的模拟值以及试验值作对比,验证该算法研究具有高雷诺数湍流流动问题的稳定性和准确性。之后利用δ-LES-SPH模型分析了台阶式溢洪道的水流流态、流速以及消能率的变化规律,结果表明,δ-LES-SPH模型的结果与试验值吻合度较高,优于DualSPHysics方法;31阶和26阶的效能率分别达到了75.89%和74.72%,31阶明显优于26阶,同时充分体现了台阶式溢洪道的消能效果。

In the δ-LES-SPH model,compared with the traditional SPH model,the diffusion term and the viscosity term are added to the governing equation to enhance the stability,and the coefficients of the two terms are determined by the turbulence model.Based on the δ-LES-SPH model proposed by Mascio,δ-LES-SPH model is implemented and validated by dam break and broad crested weir.The results of δ-LES-SPH are compared with the values of reference to verify the stability and accuracy of δ-LES-SPH for studying turbulent flows with a high Reynolds number.Then,the δ-LES-SPH model is used to analyze the flow characteristics of the stepped spillway.The results show that the δ-LES-SPH model is in good agreement with the experimental values,which is better than the DualSPHysics method.The energy dissipation rates of the 31-step and 26-step stepped spillway respectively reached 75.89% and 74.72%.The efficiency of 31-step is obviously better than that of 26-step,which fully reflects the energy dissipation effect of the stepped spillway.