| 水力机械非定常流动的三维涡方法计算 |
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| 引用本文： | 王龙步,祝宝山,王宏,曹树良.水力机械非定常流动的三维涡方法计算[J].力学学报,2012,44(3):520-527. |
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| 作者姓名： | 王龙步 祝宝山 王宏 曹树良 |
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| 作者单位： | 1. 清华大学热能工程系, 水沙科学与水利水电工程国家重点实验室, 北京 100084;2. 清华大学核能与新能源技术研究院, 北京 100084 |
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| 基金项目： | 国家自然科学基金，清华水沙科学与水利水电工程国家重点实验室自主课题 |
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| 摘 要： | 利用拉格朗日型涡方法计算了混流式水轮机转轮内部的非定常流动. 采用高精度的边界元法计算域内势流速度以满足固体边界不可穿透条件, 通过在固体边界上导入新生涡满足边界的无滑移条件. 利用拉格朗日法计算涡元的运动, 而离散涡元之间的诱导速度则通过毕奥-萨伐尔公式结合快速多级子算法和自适应树结构算法获得. 通过对某混流式转轮水轮机在设计工况及非设计工况下的数值模拟, 以及模拟结果与实验测量的对比, 验证了该拉格朗日涡方法在计算转轮内部高雷诺数非定常流动中的有效性.
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| 关 键 词： | 三维涡方法 边界元法 非定常涡流 水轮机转轮 |
| 收稿时间： | 2011-12-06 |
| 修稿时间： | 2012-04-12 |
THERE DIMENSIONAL VORTEX METHOD SIMULATION OF UNSTEADY FLOW IN HYDRAULIC TURBINE |
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| Wang Longbu,Zhu Baoshan Wang Hong Cao Shuliang.THERE DIMENSIONAL VORTEX METHOD SIMULATION OF UNSTEADY FLOW IN HYDRAULIC TURBINE[J].chinese journal of theoretical and applied mechanics,2012,44(3):520-527. |
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| Authors: | Wang Longbu Zhu Baoshan Wang Hong Cao Shuliang |
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| Institution: | 1. State Key Laboratory of Hydroscience and Engineering, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China;2. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China |
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| Abstract: | A fast Lagrangian vortex method presented in this paper is employed to simulate the flow inside a francis turbine runner.The normal flux boundary condition is satisfied by superimposing a potential flow on the vortical field,which is solved by the boundary element method(BEM),while the no-slip boundary condition is by generating vortex tiles on solid boundaries.The generalized Biot-Savart’s law is adopted to calculate the vortical field in the Lagrangian frame of reference and the adaptive fast multipole method is utilized to reduce the computation complexity.The calculation results of a sample Francis turbine on design condition and off-design conditions agrees adequately well with experiment data,which confirms that the method is verified and practicable to simulate the complex interior unsteady flow with high Re. |
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| Keywords: | 3-D vortex method boundary element method unsteady vortical flow Francis runner |
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