2015
DOI: 10.3390/w7084446
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Simulation of Water Level Fluctuations in a Hydraulic System Using a Coupled Liquid-Gas Model

Abstract: Abstract:A model for simulating vertical water level fluctuations with coupled liquid and gas phases is presented. The Preissmann implicit scheme is used to linearize the governing equations for one-dimensional transient flow for both liquid and gas phases, and the linear system is solved using the chasing method. Some classical cases for single liquid and gas phase transients in pipelines and networks are studied to verify that the proposed methods are accurate and reliable. The implicit scheme is extended us… Show more

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Cited by 15 publications
(7 citation statements)
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“…Particularly interesting, then, is the oscillatory behavior after the third anomaly. Qualitatively, similar oscillations can be observed in two-phase pipe-relief valve systems in industrial applications, e.g., in hydropower stations (see engineering application presented by Wang et al [47]). Nevertheless, the oscillations at Hartoušov lasted almost 24 h with changing amplitudes and frequencies (see Figure 12C).…”
Section: Tentative Hydro-mechanical Modelsupporting
confidence: 62%
“…Particularly interesting, then, is the oscillatory behavior after the third anomaly. Qualitatively, similar oscillations can be observed in two-phase pipe-relief valve systems in industrial applications, e.g., in hydropower stations (see engineering application presented by Wang et al [47]). Nevertheless, the oscillations at Hartoušov lasted almost 24 h with changing amplitudes and frequencies (see Figure 12C).…”
Section: Tentative Hydro-mechanical Modelsupporting
confidence: 62%
“…The aforementioned Saint-Venant equations are first-order quasi-linear hyperbolic partial differential equations; generally, an analytical solution cannot be obtained directly, and instead an approximate solution is obtained using a discrete numerical method [21]. After comprehensive comparison, we used the Preissmann four-point weighted implicit difference scheme with good stability, high calculation accuracy, and fast convergence to discretize the Saint-Venant equations [22], and we used the chase method to solve them [23]. The form of the discretization grid [24] is shown in Figure 3.…”
Section: One-dimensional Hydrodynamic Modelmentioning
confidence: 99%
“…The Preissmann four-point implicit difference method was used to discretize the Saint Venant equations due to its advantages of fast convergence, high efficiency, and good stability [40], and the chasing method was used to solve the discrete equation [41]. See [6] for detailed steps.…”
Section: Water Conveyance Structurementioning
confidence: 99%