TVD格式数值模拟水电站水击波新探

New Study on Numerical Simulation of Water Hammer Waves of Hydropower Stations with TVD Scheme

水电站有压管道水击波数值模拟十分重要,其计算方法一直都是重点研究方向,TVD格式是数值模拟水击波的新方法,特别适合数值模拟强间断问题。其限制函数是该格式的核心问题,具有四种不同形式,将其运用于水击方程,数值模拟阀门突然关闭时水击波压力变化,与解析解进行对比,以此探究限制函数类型对TVD数值模拟水击波结果的影响。结果表明:四种限制函数TVD格式的计算结果,在间断处避免了非物理振荡,Superbee型TVD格式的分辨率最高,推荐该限制函数数值模拟水电站水击波。

The numerical simulation of water hammer waves in pressure pipes of hydropower stations is very important .Its calculation method has always been a key research issue .TVD scheme is a new method to simulate water hammer waves with its strength in simulating strong discontinutity problems .The limiter function which possesses four different forms is the essence of the scheme .Here ,they were applied to the water hammer equation to simulate the variations of surge pres-sure when the valve suddenly closed .In order to discuss the effect that the type of limiter function had on the results of water hammer waves’ numerical simulation with TVD scheme ,the results of numerical simulation were compared with that of the analytical solutions .It indicates that the calculations of TVD scheme with four limiter functions can avoid nu-merical oscillations at discontinuity point .The TVD scheme with Superbee limiter fountion has the highest resolution and it is recommended for simulating water hammer waves of hydropower stations .