Abstract
The Preissmann slot model is one of the most widely used models to conceptualize both free-surface and pressurized flows in urban drainage systems. Despite its simplicity and wide range of applications, numerical solutions of the Preissmann slot model suffer from the spurious oscillations, especially when flow conditions switch from free-surface flow to pressurized flow. To overcome this problem, a new hybrid numerical flux solver of the Preissmann slot model is proposed herein, in which the upwind flux solver is combined with the centered flux solver. Numerical experiments are conducted for multiple flow conditions such as typical filling, pipe-filling, and transition-flow conditions. The numerical results indicate that the proposed scheme generally outperforms the conventional flux schemes for various hydraulic conditions and wave velocities. The proposed scheme should be useful to further enhance integrated urban water modeling in which transient mixed flow conditions significantly impact the simulation accuracy during extreme floods.
Highlights
Numerical modeling of sewer-pipe flow is of significant importance for a wide range of urban water problems such as urban inundation analysis, detecting the damage of a sewer pipe, or design of the sewer system
The objective of this study is to develop a new hybrid numerical scheme of the Preissmann slot model and, through numerical experiments, demonstrate its applicability for a wide range of transient mixed-flow conditions
We propose a hybrid flux solver of the Preissmann slot model and evaluate it for the improved
Summary
Numerical modeling of sewer-pipe flow is of significant importance for a wide range of urban water problems such as urban inundation analysis, detecting the damage of a sewer pipe, or design of the sewer system. The numerical modeling of transient mixed flows is associated with infrastructure damage or operational problems. When using two governing equations, it is difficult to track the mixed flow interfaces and switch smoothly between the two systems. Previous research [1,2] has shown that a compressible one-dimensional fluid equation with a linearized pressure law is an attractive alternative for modeling of transient mixed flows in pipe; a compressible fluid system is more complex to solve than a one-dimensional shallow water system usually used to represent open channel flows. The Preissmann slot model can avoid this difficulty and has been widely used to solve multiple flow conditions in sewer systems [3,4,5,6,7,8,9]
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