An implicit friction source term treatment for overland flow simulation using shallow water flow model

2018 ◽  
Vol 564 ◽  
pp. 357-366 ◽  
Author(s):  
Jingming Hou ◽  
Tian Wang ◽  
Peng Li ◽  
Zhanbin Li ◽  
Xia Zhang ◽  
...  
Keyword(s):  
Shallow Water ◽  
Water Flow ◽  
Flow Model ◽  
Overland Flow ◽  
Source Term ◽  
Flow Simulation ◽  
Term Treatment ◽  
Shallow Water Flow

GPU computing for shallow water flow simulation based on finite volume schemes

2011 ◽  
Vol 339 (2-3) ◽  
pp. 165-184 ◽  
Author(s):  
Manuel J. Castro ◽  
Sergio Ortega ◽  
Marc de la Asunción ◽  
José M. Mantas ◽  
José M. Gallardo
Keyword(s):  
Shallow Water ◽  
Water Flow ◽  
Finite Volume ◽  
Gpu Computing ◽  
Flow Simulation ◽  
Finite Volume Schemes ◽  
Shallow Water Flow ◽  
Simulation Based

An Implicit 2-D Shallow Water Flow Model on Unstructured Quadtree Rectangular Mesh

2011 ◽  
Vol 59 ◽  
pp. 15-26 ◽  
Author(s):  
Weiming Wu ◽  
Alejandro Sánchez ◽  
Mingliang Zhang
Keyword(s):  
Shallow Water ◽  
Water Flow ◽  
Flow Model ◽  
Shallow Water Flow ◽  
Rectangular Mesh

scholarly journals A Proposed Implicit Friction Source Term Treatment for Simulating Overland Flow

10.29007/fsp8 ◽  
2018 ◽  
Author(s):  
Tian Wang ◽  
Jingming Hou ◽  
Peng Li ◽  
Jiaheng Zhao ◽  
Ilhan Özgen ◽  
...  
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Overland Flow ◽  
Source Term ◽  
Specific Treatment ◽  
Term Treatment ◽  
Finite Volume Scheme ◽  
Flow Problems ◽  
Friction Term ◽  
Water Depths

The fully 2D dynamic shallow water equations have been widely applied for numerical simulation of overland flow in the recent years. However, most of the existing friction term discretisation schemes do not recover the correct asymptotic flow behaviour as water depths becomes small. In this model, the shallow water equations were discretized by the framework of the Godunov-type finite volume scheme. The hydrostatic reconstruction is applied to reconstruct non-negative water depths at wet- dry interfaces. Numerical fluxes are computed with a HLLC solver. The novel aspects of the model include the slope source term treatment. Specific treatment of friction source terms has been proposed to discretize the friction terms to recover the correct asymptotic behaviour of SWEs when the water depth becomes small. The accuracy and robustness of the proposed model are verified by comparing with analytical solutions. The results demonstrate that the proposed method treating friction source term is a relatively more accurate, efficient, straightforward and universal one for evaluating overland flow problems.

Sign in / Sign up

Export Citation Format

Share Document