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基于光滑粒子数值方法的坡面水动力过程模拟研究

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[目的]为模拟降雨后在不透水边界层上的坡面流水动力过程,[方法]建立了一种基于浅水方程(SWE)的降雨-径流模型(SWE-SPH-RR)。SWE-SPH-RR模型采用光滑粒子数值方法求解一维浅水方程,该数值方法通过改变流体粒子质量来模拟降雨输入,采用粒子重构技术实现了无需新的入流粒子来模拟坡面径流过程。利用该模型分别模拟了四个不透水边界层上的降雨-径流案例,分析了不同降雨强度和地形坡度等变量对坡面径流水动力学特性的影响。[结果]结果表明:无论是恒定降雨或非恒定降雨时,模型都能够较好地捕捉坡面上的急流、缓流现象,模拟值与试验值在出口流量或水深等方面具有较好的一致性,平均相对误差均在 5%以内。在三种不同坡度组合的地形上施加降雨时,陡坡上产生的径流动量较大,与缓坡上的径流相遇时会在流量图中出现凸起现象,这与试验得到的结果趋势基本一致,说明该模型对于复杂地形和混合流态同样适用,能够准确建模并表现出良好的性能。对于出口流量结果中出现了少数的数值振荡问题,可能需要调整人工粘性项的参数,或是使用其他出流边界,以抑制振荡波的发生。[结论]该模型框架简单,计算结果合理准确,能够较好地模拟不同地形和降雨模式下的坡面流过程,具有一定的可行性和可靠性。
Study on SPH method-based numerical simulation of overland flow
[Objective]In order to simulate the hydrodynamic process of overland flow on the impervious boundary layer after rain-fall,[Methods]a rainfall-runoff model(SWE-SPH-RR)based on the shallow water equation(SWE)was developed.The SWE-SPH-RR model used a smooth particle numerical method to solve one-dimensional shallow water equations,which simulated rain-fall by varying the mass of fluid particles.A particle reconstruction technique was used to simulate runoff processes without the need to add inflow particles.Four rainfall-runoff cases without consideration of the infiltration process were simulated separately with the model,the effects of variables such as different rainfall intensities or terrain on the hydrodynamic characteristics of over-land flow were analyzed.[Results]The result indicated that,whether the rainfall was constant or not,the model was better able to capture the phenomena of supercritical/subcritical flows.The simulated and measured data were in good agreement in terms of discharge or water depth,with average relative errors all within 5%.Rainfall on three different slopes,the runoff generated on the steep slopes had a higher momentum and when it met the runoff on the gentle slopes,it appeared as a bump phenomenon in the flow chart.This was basically consistent with the trend of the experiments.The model was able to accurately model and show good performance in both complex terrain and mixed flow regimes.For the few numerical oscillation problems that occur in the outflow,it may be necessary to adjust the parameters of the artificial viscosity term or to use alternative outflow boundaries to re-duce the occurrence of oscillating waves.[Conclusion]Simulating overland flow in different terrain and rainfall patterns was made possible by the model′s simple framework and reasonably accurate computed result.It showed a certain level of depend-ability and feasibility.

rainfallnumerical simulationoverland flowSmoothed Particle Hydrodynamics(SPH)Shallow Water Equations(SWE)variable mass particlesparticle reconstruction technique

莫诗玙、田丽蓉、顾声龙

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青海大学 土木水利学院,青海 西宁 810016

黄河上游生态保护与高质量发展实验室,青海 西宁 810016

水利部江河源区水生态治理与保护重点实验室,青海 西宁 810016

降雨 数值模拟 坡面水动力过程 光滑粒子数值方法(SPH) 浅水方程(SWE) 变质量粒子 粒子重构技术

2024

水利水电技术(中英文)
水利部发展研究中心

水利水电技术(中英文)

CSTPCD北大核心
影响因子:0.456
ISSN:1000-0860
年,卷(期):2024.55(10)