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Open AccessArticle

Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver

State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
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Water 2020, 12(5), 1245; https://doi.org/10.3390/w12051245
Received: 21 February 2020 / Revised: 20 April 2020 / Accepted: 21 April 2020 / Published: 27 April 2020
(This article belongs to the Special Issue Advances in Modeling and Management of Urban Water Networks)
Transition between free-surface and pressurized flows is a crucial phenomenon in many hydraulic systems. During simulation of such phenomenon, severe numerical oscillations may appear behind filling-bores, causing unphysical pressure variations and computation failure. This paper reviews existing oscillation-suppressing methods, while only one of them can obtain a stable result under a realistic acoustic wave speed. We derive a new oscillation-suppressing method with first-order accuracy. This simple method contains two parameters, Pa and Pb, and their values can be determined easily. It can sufficiently suppress numerical oscillations under an acoustic wave speed of 1000 ms−1. Good agreement is found between simulation results and analytical results or experimental data. This paper can help readers to choose an appropriate oscillation-suppressing method for numerical simulations of flow regime transition under a realistic acoustic wave speed. View Full-Text
Keywords: flow regime transition; finite volume methods; numerical oscillations; numerical viscosity; Preissmann slot model flow regime transition; finite volume methods; numerical oscillations; numerical viscosity; Preissmann slot model
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Mao, Z.; Guan, G.; Yang, Z. Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver. Water 2020, 12, 1245.

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