scholarly journals Integrated 1D-2D model for flood simulation in the Vu Gia-Thu Bon delta

2014 ◽  
Vol 17 (4) ◽  
pp. 43-50
Author(s):  
Giang Song Le ◽  
Hoai Cong Huynh ◽  
Truong Quang Nguyen ◽  
Minh Ngoc Nguyen ◽  
Hong Thi My Tran
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
River System ◽  
Integrated Model ◽  
Two Dimensional ◽  
Flood Simulation ◽  
Saint Venant Equations ◽  
2D Model

This paper presents an integrated model for calculation of flood in the Vu Gia – Thu Bon river system. In this model, the flow in rivers and channels is considered as onedimensional and described by the Saint – Venant equations while the flow on the floodplains is considered as two-dimensional and described by the shallow water equations. All equations are solved by finitevolume method. Roads, railway with conducts on floodplains are also included in the model. The floods in years 1999, 2007, 2009 and 2010 were calculated. The results show that floods in the Vu Gia – Thu Bon delta were simulated in detail with reliable accuracy.

scholarly journals 1D/1D+2D integrated model for urban inundation calculation and application for Nhieu Loc – Thi Nghe basin (HCM city)

2014 ◽  
Vol 17 (1) ◽  
pp. 47-59
Author(s):  
Hong Thi My Tran ◽  
Giang Song Le
Keyword(s):  
Mathematical Model ◽  
Shallow Water ◽  
Finite Volume Method ◽  
Shallow Water Equations ◽  
Overland Flow ◽  
Integrated Model ◽  
One Dimensional ◽  
Saint Venant Equations ◽  
2D Flow ◽  
Volume Method

This paper presents a mathematical model for detailed calculate the flooding flow in NhieuLoc – ThiNghe basin. The flow in sewers is considered as one-dimensional while overland flow is modeled using the 1D+2D integrated model. 1D flow was calculated from the Saint – Venant equations and 2D flow was calculated from the shallow water equations. The finite volume method was used. The linkage of models was received a necessary consideration. The application for NhieuLoc – ThiNghe basin case showed that the model could respond to the practical requirements.

scholarly journals Modelling Weirs in Two-Dimensional Shallow Water Models

Water ◽  
2021 ◽  
Vol 13 (16) ◽  
pp. 2152
Author(s):  
Gonzalo García-Alén ◽  
Olalla García-Fonte ◽  
Luis Cea ◽  
Luís Pena ◽  
Jerónimo Puertas
Keyword(s):  
Experimental Data ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Water Model ◽  
Two Dimensional ◽  
Shallow Water Model ◽  
Experimental Dataset ◽  
River Hydraulics ◽  
Shallow Water Models ◽  
Water Models

2D models based on the shallow water equations are widely used in river hydraulics. However, these models can present deficiencies in those cases in which their intrinsic hypotheses are not fulfilled. One of these cases is in the presence of weirs. In this work we present an experimental dataset including 194 experiments in nine different weirs. The experimental data are compared to the numerical results obtained with a 2D shallow water model in order to quantify the discrepancies that exist due to the non-fulfillment of the hydrostatic pressure hypotheses. The experimental dataset presented can be used for the validation of other modelling approaches.

scholarly journals A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

2021 ◽  
pp. 105152
Author(s):  
Victor Michel-Dansac ◽  
Christophe Berthon ◽  
Stéphane Clain ◽  
Françoise Foucher
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
High Order ◽  
Two Dimensional

Finite difference methods for 2D shallow water equations with dispersion

2019 ◽  
Vol 34 (2) ◽  
pp. 105-117 ◽  
Author(s):  
Gayaz S. Khakimzyanov ◽  
Zinaida I. Fedotova ◽  
Oleg I. Gusev ◽  
Nina Yu. Shokina
Keyword(s):  
Finite Difference ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Finite Difference Methods ◽  
Original System ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Elliptic Type ◽  
Two Dimensional ◽  
Nonlinear Hyperbolic System

Abstract Basic properties of some finite difference schemes for two-dimensional nonlinear dispersive equations for hydrodynamics of surface waves are considered. It is shown that stability conditions for difference schemes of shallow water equations are qualitatively different in the cases the dispersion is taken into account, or not. The difference in the behavior of phase errors in one- and two-dimensional cases is pointed out. Special attention is paid to the numerical algorithm based on the splitting of the original system of equations into a nonlinear hyperbolic system and a scalar linear equation of elliptic type.

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