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具绝热指数1的一维非等熵可压流体力学方程组经典解
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作者 刘法贵 姚海鹏 《华北水利水电学院学报》 2007年第1期100-102,105,共4页
考虑具绝热指数1的一维非等熵可压流体力学方程组的Cauchy问题,在一些合理假设下,得到了其整体经典解存在的一个充分必要条件,这一结果是对已有相关文献的补充和完善.
关键词 可压流体力学方程组 绝热指数 CAUCHY问题 整体经典解
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一维可压流体力学方程组整体经典解
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作者 刘法贵 《数学杂志》 CSCD 北大核心 2008年第1期50-56,共7页
本文研究了一维可压流体力学方程组的Cauchy问题,利用特征线法和分析的技巧,在一些合理的假设下,得到了Cauchy问题整体经典解存在的一个充分必要条件.
关键词 一维可压流体力学方程组 CAUCHY问题 整体经典解
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SIMULATION OF HYDRAULIC TRANSIENTS IN HYDROPOWER SYSTEMS USING THE 1-D-3-D COUPLING APPROACH 被引量:22
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作者 ZHANG Xiao-xi CHENG Yong-guang 《Journal of Hydrodynamics》 SCIE EI CSCD 2012年第4期595-604,共10页
Although the hydraulic transients in pipe systems are usually simulated by using a one-dimensional (l-D) approach, local three-dimensional (3-D) simulations are necessary because of obvious 3-D flow features in so... Although the hydraulic transients in pipe systems are usually simulated by using a one-dimensional (l-D) approach, local three-dimensional (3-D) simulations are necessary because of obvious 3-D flow features in some local regions of the hydropower systems. This paper combines the 1-D method with a 3-D fluid flow model to simulate the Multi-Dimensional (MD) hydraulic transients in hydropower systems and proposes two methods for modeling the compressible water with the correct wave speed, and two strategies for efficiently coupling the 1-D and 3-D computational domains. The methods are validated by simulating the water hammer waves and the oscillations of the water level in a surge tank, and comparing the results ~with the 1-D solution data. An MD study is conducted for the transient flows in a realistic water conveying system that consists of a draft tube, a tailrace surge tank and a tailrace tunnel. It is shown that the 1-D-3-D coupling approach is an efficient and promising way to simulate the hydraulic transients in the hydropower systems in which the interactions between 1-D hydraulic fluctuations of the pipeline systems and the local 3-D flow patterns should be considered. 展开更多
关键词 hydropower station hydraulic transients compressible water model coupling of 1-d and 3-d methods
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Transient air-water flow patterns in the vent tube in hydropower tailrace system simulated by 1-D-3-D coupling method 被引量:3
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作者 王希晨 张健 +1 位作者 俞晓东 陈胜 《Journal of Hydrodynamics》 SCIE EI CSCD 2018年第4期715-721,共7页
The vent tube is commonly used for the water hammer protection in the hydropower tailrace system. In transient processes, with air entering and exiting the vent tube, one sees complex hydraulic phenomena, which threat... The vent tube is commonly used for the water hammer protection in the hydropower tailrace system. In transient processes, with air entering and exiting the vent tube, one sees complex hydraulic phenomena, which threaten the station's safe operation. It is necessary to investigate the transient mechanisms in the tailrace system with vent tube. In this paper, a 3-D, two-phase numerical model of a vent tube on the connection of the tailrace tunnel and the diversion tunnel, is developed based on the FLUENT with the volume of fluid(VOF) algorithm to investigate the transient air-water flow patterns and the complex hydraulic phenomena in the vent tube of the tailrace system. A 1-D and 3-D unidirectional adjacent coupling(1-D-3-D-UAC) approach with a linear interpolation method is adopted to adjust the timesteps between the 1-D model and the 3-D model on the tunnel inlet and outlet boundaries through the user defined function(UDF), to transmit the data from the 1-D model to the 3-D model. The model is verified by comparing the results obtained by using the 1-D model alone and from the experiments in literature. The transient flow processes under the full load rejection consist of four stages: the water level dropping stage, the air entering stage, the air pocket collapsing stage, and the air exiting stage. Detailed hydraulic phenomena in the air pocket collapsing process are also discussed. 展开更多
关键词 Vent tube tailrace tunnel two phase volume of fluid (VOF) 1-d-3-d coupling
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