Multi-grid Beam and Warming scheme for the simulation of unsteady flow in an open channel

Rahimpour, Majid; Tavakoli, Ali

doi:10.4314/wsa.v37i2.65868

Cited by 4 publications

(1 citation statement)

References 16 publications

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“…These equations are nonlinear, first-order, hyperbolic, partial differential equations for which closed-form solutions are not available, except for under certain simplified conditions; therefore, these equations are solved using suitable numerical techniques [4,5]. A wide range of numerical schemes based on the finite difference [6][7][8][9][10][11], finite element [12][13][14], and finite volume [15] methods have been applied to solve the open channel flow equations.…”

Section: Introductionmentioning

confidence: 99%

Transient Flow in an Open Channel Bound by Two Step Pumping Stations

Ibrahim

Qiu

Feng

2018

Water

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Pumping stations play a great role in open channel flow applications. After starting pump units in the pumping stations, unsteady flows in the open channel are immediately generated. In this paper, the behavior of unsteady flow in a prismatic trapezoidal channel between two step pumping stations is studied. A mathematical model is constructed to simulate one-dimensional, unsteady, gradually-varied open channel flow in the channel. The soil leakage and evaporation from the water surface along the channel are also involved. The Lax diffusive scheme is applied to solve the proposed model. The model is applied on a real open channel located in China. The accuracy of the model is calculated by varying the scheme grid steps. We also calculate and discuss the water surface elevation, the flow rate and the lateral outflow per unit length, as well as several influential factors at various stages along the channel. In this work, the wave propagation mechanism is clearly presented and analyzed. The computed results show that the water surface profile in the open channel varies continuously over time until it becomes almost constant. Thus, the pumping station operation duties change over time. The accuracy of the results is validated by comparing the computed results with measured data.

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