scholarly journals Fourth order transport model on Yin-Yang grid by multi-moment constrained finite volume scheme

2012 ◽  
Vol 9 ◽  
pp. 1004-1013 ◽  
Author(s):  
Xingliang Li ◽  
Xueshun Shen ◽  
Xindong Peng ◽  
Feng Xiao ◽  
Zhaorong Zhuang ◽  
...  
Keyword(s):  
Finite Volume ◽  
Fourth Order ◽  
Transport Model ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Yin Yang

Finite volume scheme for numerical simulation of the sediment transport model

2019 ◽  
Vol 33 (24) ◽  
pp. 1950283
Author(s):  
Kamel Mohamed ◽  
Aly Seadawy
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Finite Volume ◽  
Transport Model ◽  
Two Dimensions ◽  
Special Treatment ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Sediment Transport Model ◽  
Sediment Transport Equation

In this paper, we propose and apply a modified Rusanov scheme for numerical solution of the sediment transport model in one and two dimensions. This model consists of two parts, the first part is modeled by shallow water equations and the second part is described by the bed-load transport equation. The scheme consists of a predictor stage scheme including a local parameter of control. It is responsible for the numerical diffusion. To control this parameter, we use a strategy depending on limiter theory. In the corrector stage, we used special treatment of the bed to get a well-balanced discretization between the flux gradient and source term. Some numerical results are presented for the sediment transport equation in two forms called A-formulation and C-formulation. These results show that the finite volume scheme is accurate and robust for solving the sediment transport equation in one and two dimensions.

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