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为了满足明渠水流入流的边界条件,扩展SPH方法在明渠恒定流模拟中的应用,本文建立SPH方法的出入流模型,通过设置相应的出入流边界条件,研究不同坡度下消力池内陡坡水跃特性。针对两种不同流量,对斜坡坡角θ分别在20°、30°、45°条件下的陡坡水跃进行数值模拟。模拟结果与文献中的实验结果进行对比分析,结果表明:出入流模型能为陡坡水跃的数值模拟提供稳定的水流。各陡坡不同流量下水面线的变化趋势基本相同,误差均在±10%内;相同坡角时,单宽流量为0.063 m2/s的消能效果均大于单宽流量为0.105 m2/s的消能效果。该方法处理出入流边界简单,合理准确,能够较好地模拟不同坡度下消力池内陡坡水跃,得到陡坡水跃特性,具有一定的可行性和可靠性。
Abstract:In order to satisfy the boundary condition of open channel inflow and extend the application of SPH method in the simulation of the open channel steady flow, a SPH(smoothed particle hydrodynamics)-based inflow-outflow model is established herein, and then the characteristics of the steep-slope hydraulic jump in stilling pool under the conditions of different gradients are studied through setting the corresponding inflow-outflow boundary conditions. For both different flow rates, the steep-slope hydraulic jumps under the conditions with the slope angles of 20°, 30° and 45° are numerically simulated respectively. The simulated result is comparatively analyzed with the experiment results given in the relevant literatures and the result shows that the inflow-outflow model can provide stable flow for the numerical simulation of the steep-slope hydraulic jump, from which the changing trends of the water surface lines under the conditions of different flow rates of all the steep-slopes are basically the same with the error within 10%, while the energy dissipation effects of all the flow rates of 0.063 m3/s are larger than those of the flow rates of 0.105 m3/s, when the slope angles are the same. This method can simply, reasonably and accurately deal with the inflow-outflow boundaries and better simulate the steep-slope hydraulic jumps in stilling pool under the conditions of different gradients for obtaining the hydraulic jump characteristics concerned, thus has certain feasibility and reliability.
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基本信息:
DOI:10.13928/j.cnki.wrahe.2019.09.017
中图分类号:TV135.2
引用信息:
[1]张云云,任立群,薄夫萍,等.基于SPH消力池内陡坡水跃的数值模拟[J].水利水电技术,2019,50(09):127-133.DOI:10.13928/j.cnki.wrahe.2019.09.017.
基金信息:
青海省科技计划基础研究计划项目(2018-ZJ-710);; 国家自然科学基金(51869025)