| 摘要: |
| 【目的】分析比较4种不同构造形式TVD格式在捕捉水击波时耗散性和压制性数值性能的差异, 为带调压室水电站压力管道水击波过程模拟提供参考。【方法】采用具有代表性的Harten TVD格式、Sweby TVD格式、TVD MacCormark格式以及全离散TVD格式求解水击控制方程，结合给定的调压室系统水击模型边界条件，对某工程实例进行计算，并对数值模拟结果与试验数据进行分析。【结果】TVD格式可模拟调压室系统水击波的变化过程，最大水击压力与试验数据相对误差不超过1%，且间断处能够有效地捕捉激波振荡；对比4种格式计算结果，在水击波上升和振荡过程中，Harten TVD格式的计算结果与实测数据吻合最好。【结论】TVD格式计算精度较高，是模拟调压室水击现象行之有效的方法之一。 |
| 关键词: 调压室系统 水击波 数值模拟 TVD格式 数值通量 |
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| Numerical simulation of water hammer with four TVD schemes in surge chamber |
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DONG Yu,LIU Hansheng,CAO Changchong
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| Abstract: |
| 【Objective】Four TVD schemes with different construction methods were presented to analyze and compare the numerical performances of dissipative and compressible features when capturing the water hammer wave,aiming to provide reference for simulating water hammer process of surge pressure pipeline in hydropower station.【Method】Four typical TVD schemes including the modified Harten’s TVD scheme,Sweby’s TVD scheme,TVD MacCormark scheme and fully discrete TVD scheme were used to solve the water hammer equation numerically.Combined with the given surge chamber system water hammer model boundary conditions,a practical engineering problem was calculated and numerical simulation results were compared with experimental data.【Result】TVD schemes can numerically simulate the water hammer process of surge pressure.In contrast with the experimental data,the relative error of the maximum water hammer pressure was less than 1%,and TVD scheme had the ability to capture the shock wave discontinuous.Comparison of calculation results showed that the modified Harten’s TVD scheme was the best for simulating water hammer because it agreed well with the experimental data in the process of water hammer wave rise and oscillation.【Conclusion】TVD schemes have high calculation precision and are effective methods to simulate water hammer of surge chamber. |
| Key words: surge chamber water hammer numerical simulation TVD scheme numerical flux |
