Integrating 1D and 2D hydrodynamic, sediment transport model for dam-break flow using finite volume method

2014 ◽  
Vol 57 (4) ◽  
pp. 774-783 ◽  
Author(s):  
MingLiang Zhang ◽  
YuanYuan Xu ◽  
ZiNing Hao ◽  
Yang Qiao
2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Szu-Hsien Peng

The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam-break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non-Newtonian fluid or multilayers fluid flow.


Water ◽  
2018 ◽  
Vol 10 (5) ◽  
pp. 616 ◽  
Author(s):  
Gangfeng Wu ◽  
Zhehao Yang ◽  
Kefeng Zhang ◽  
Ping Dong ◽  
Ying-Tien Lin

2013 ◽  
Vol 45 (2) ◽  
pp. 182-189
Author(s):  
Gokmen Tayfur ◽  
Zhiguo He ◽  
Qihua Ran

A finite volume numerical method was employed in the solution of two-dimensional pollutant transport in catchment sheet flow. The full dynamic wave constituted the sheet flow while the advection–diffusion equation with sink/source terms was the pollutant transport model. It is assumed that the solute in the surface active layer is uniformly distributed and the exchange rate of the solute between the active layer and overland flow are proportional to the difference between the concentrations in soil and water volume. Decrease of the solute transfer rate in the active surface layer caused by the transfer of solutes from soil to the overlying runoff is assumed to follow an exponential law. The equations governing sheet flow and pollutant transport are discretized using the finite volume method in space and an implicit backward difference scheme in time. The model was subjected to several numerical tests involving varying microtopographic surface, roughness, and infiltration. The results revealed that spatially varying microtopography plays an important role unlike the roughness and infiltration with respect to the total pollutant rate from the outlet of a catchment.


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