通过与横向模型重合对槽模型进行修正

Pandit Saroj Kumar, N. Shigeta, Y. Oka, M. Watanabe, Toru Kawasaki
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引用次数: 1

摘要

Preissmann槽概念是非定常自由面加压流动中被广泛接受的数值计算方法之一。但是Courant的稳定性条件给该方法施加了时间步长限制。狭缝概念在狭缝宽度过小的情况下会产生较大的波速和严格的时间步长限制,而狭缝宽度过大则会产生不精度。推导了考虑松弛效应的附加流横向模型的方程,并与槽型模型的相应方程进行了比较。通过引入系数对槽模型进行修正,在槽模型中对摩擦损失进行评估。对槽模型和修正槽模型的微分方程进行求解,并以直接代入FORTRAN程序的形式进行数值分析。数值计算结果表明,修正槽型模型能更有效地模拟管网瞬态流动。
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MODIFICATION OF SLOT MODEL BY COINCIDING WITH THE LATERAL MODEL
Preissmann Slot concept is one of the most extensively accepted numerical approaches in unsteady free surface pressurized flow. However Courant's stability condition has imposed this method with limitation on the size of the time step. The slot concept produces large wave celerity and a corresponding strict time step limitation with too small slot width, while inaccuracies may result with too large slot width. The equations for a surcharged flow which form the lateral model are derived incorporating the relaxation effect and compared with corresponding equations of slot model. The friction loss is evaluated in slot model by introducing the coefficient, which modifies the slot model. The pair of differential equations of Slot Model and Modified Slot Model are solved and presented in forms for direct substitution into FORTRAN programming for numerical analysis. The numerical result justifies Modified Slot Model to be more efficient for the modeling of transient flow in sewer network.
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