A Weighted Average Flux (WAF) scheme applied to shallow water equations for real-life applications

Ata, Riadh; Pavan, Sara; Khelladi, Sofiane; Toro, Eleuterio F.

doi:10.1016/j.advwatres.2013.09.019

Cited by 28 publications

(25 citation statements)

References 26 publications

(45 reference statements)

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“…is scheme requires an accurate numerical flux scheme for approximating the flux at cell interfaces in the shallow water equations. One extensively used scheme is Harten-Lax-van Leer (HLL) [3][4][5]. e modified version for two-dimensional problems is HLLC [5].…”

Section: Introductionmentioning

confidence: 99%

Flood Simulation by a Well-Balanced Finite Volume Method in Tapi River Basin, Thailand, 2017

Vichiantong

Pongsanguansin

Maleewong

2019

Modelling and Simulation in Engineering

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Flood simulation of a region in southern Thailand during January 2017 is presented in this work. The study area covers the Tapi river, the longest river in southern Thailand. The simulation is performed by applying the two-dimensional shallow water model in the presence of strong source terms to the local bottom topography. The model is solved numerically by our finite volume method with well-balanced property and linear reconstruction technique. This technique is accurate and efficient at solving for complex flows in the wet/dry interface problem. Measurements of flows are collected from two gauging stations in the area. The initial conditions are prepared to match the simulated flow to the measurements recorded at the gauging stations. The accuracy of the numerical simulations is demonstrated by comparing the simulated flood area to satellite images from the same period. The results are in good agreement, indicating the suitability of the shallow water model and the presented numerical method for simulating floodplain inundation.

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Section: Introductionmentioning

confidence: 99%

Flood Simulation by a Well-Balanced Finite Volume Method in Tapi River Basin, Thailand, 2017

Vichiantong

Pongsanguansin

Maleewong

2019

Modelling and Simulation in Engineering

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“…The finite volume method following TELEMAC (Ata et al, 2013) are used to solve these equations. And the convection flux on grid faces is calculated using the HLL scheme with WAF approach (Toro, 2001).…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

“…The time step is determined by CFL condition. More details of the numerical schemes can be referred to (Ata et al, 2013).…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

A Dynamic Bidirectional Coupled Hydrologic-Hydrodynamic Model for Flood Prediction

Jiang

Zhou

et al. 2019

Preprint

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Abstract. As one of the main natural disasters, flood disaster poses a great threat to township development and property security. Numerous hydrological models and hydrodynamic models have been developed and implemented for flood simulation, risk prediction and inundation assessment. In this study, a dynamic and bidirectional coupled hydrodynamic-hydrologic-hydrodynamic model (DBCM) is developed to predict and evaluate inundation impact in a catchment in mountain area. Based on characteristic theory, the proposed method is able to dynamically adapt and alternate the simulation domain of hydrologic model, and/or hydrodynamic model according to the local flow condition, and a key feature of the proposed model is the dynamic coupling splitting the hydrologic and hydrodynamic simulation domains. The proposed model shows good prediction accuracy and overcomes the shortage existing in previous unidirectional coupling model (UCM). Existing numerical examples and physical experiments were both used to validate the performance of DBCM. Compared to UCM, results from DBCM show good agreements with analytical and measured data which indicates that the proposed model effectively reproduces flood propagation process and accounts for surface flow interaction between non-inundation region and inundation region. Finally, DBCM is applied to predict the flood in the Longxi river basin, and the simulation results show the capability of DBCM in conducting flood event simulation in interested catchment which can support flood risk early warning and future management.

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“…격자점중심법은 이중셀(dual cell) 생성을 위한 추가 선행처리가 이루어진다. 셀중심법보다 격자품질(mesh quality)에 덜 민감한 장점이 있으며, 가중잔차법에 더 적합하 다 (Ata et al, 2013). 또한 격자점중심법이 사용하는 검사면은 평균 6개로 3개인 셀중심법에 비해 2배나 많다 (Myong, 2012).…”

Section: 수치기법unclassified

Numerical study of dividing open-channel flows at bifurcation channel using TELEMAC-2D

Jung¹,

Jang²,

Jung³

2016

Journal of Korea Water Resources Association

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This study investigates variation of flow characteristics due to variation of branch channel width and discharge ratio at bifurcation channel using 2D numerical model. The calculated result considering secondary flow is more accurate and stable than without considering one. The diversion flow rate (Q3/Q1) is reduced by flow stagnation effect according to the interaction of the secondary flow and flow separation zone in branch channel. The less upstream inflow or the lower upstream velocity, the bigger variation of diversion flow rate by changing branch channel width. At uniform downstream boundary condition, the rate of change in Froude number of downstream of main channel(Fr2)-diversion flow rate (Q3/Q1) relations is similar about -2.4843~-2.6675 when branch channel width ratio (b/B) is decreased. At uniform diversion flow rate (Q3/Q1) condition, the width of recirculation zone in branch channel is decreased when branch channel width ratio (b/B) is decreased. The less upstream inflow in the case of increasing branch channel width or the narrower branch channel width in the case of increasing upstream inflow, the bigger reduction ratio of recirculation zone width. At uniform inflow discharge (Q1) condition, diversion flow rate, the width and length of recirculation zone in branch channel are decreased when branch channel width ratio (b/B) is decreased.

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A Weighted Average Flux (WAF) scheme applied to shallow water equations for real-life applications

Cited by 28 publications

References 26 publications

Flood Simulation by a Well-Balanced Finite Volume Method in Tapi River Basin, Thailand, 2017

Flood Simulation by a Well-Balanced Finite Volume Method in Tapi River Basin, Thailand, 2017

A Dynamic Bidirectional Coupled Hydrologic-Hydrodynamic Model for Flood Prediction

Numerical study of dividing open-channel flows at bifurcation channel using TELEMAC-2D

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