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Water 2018, 10(7), 899; https://doi.org/10.3390/w10070899

Hybrid Numerical Scheme of Preissmann Slot Model for Transient Mixed Flows

1
Department of Agricultural & Rural Engineering, Chungnam National University, Daejeon 34134, Korea
2
Climate Change Research Team, APEC Climate Center, Busan 48058, Korea
3
Department of Civil Engineering, University of Texas at Arlington, Arlington, TX 76019, USA
4
Software Development Center, K-water Convergence Institute, Deajeon 34045, Korea
*
Author to whom correspondence should be addressed.
Received: 15 June 2018 / Revised: 3 July 2018 / Accepted: 4 July 2018 / Published: 6 July 2018
(This article belongs to the Special Issue Influence of the Urban Fabric on the Risks of Floods)
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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. View Full-Text
Keywords: Preissmann slot model; transient mixed flow; spurious oscillations; hybrid numerical flux solver Preissmann slot model; transient mixed flow; spurious oscillations; hybrid numerical flux solver
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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An, H.; Lee, S.; Noh, S.J.; Kim, Y.; Noh, J. Hybrid Numerical Scheme of Preissmann Slot Model for Transient Mixed Flows. Water 2018, 10, 899.

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