Name
Title | ||
|---|---|---|
Combined characteristics and finite volume methods for sediment transport and bed morphology in surface water flows |
Abstract | ||
|---|---|---|
Abstract: We propose a new numerical method for solving the equations of coupled sediment transport and bed morphology by free-surface water flows. The mathematical formulation of these models consists of the shallow water equations for the hydraulics, an advection equation for the transport of sediment species, and an Exner equation for the bedload transport. The coupled problem forms a one-dimensional hyperbolic system of conservation laws with geometric source terms. The proposed numerical method combines the method of characteristics with a finite volume discretization of the system. The combined method is simple to implement and accurately resolves the governing equations without relying on Riemann problem solvers. Numerical results are presented for several test examples on sediment transport and bed morphology by free-surface water flows. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.matcom.2010.12.025 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
sediment transport,method of characteristics,bed morphology,shallow water equation,new numerical method,shallow water equations,proposed numerical method,sediment species,finite volume method,combined method,free-surface water flow,numerical result,combined characteristic,finite volume scheme,bedload transport | Mathematical analysis,Method of characteristics,Bed load,Sediment transport,Numerical analysis,Finite volume method,Exner equation,Mathematics,Riemann problem,Shallow water equations | Journal |
Volume | Issue | ISSN |
81 | 10 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
1 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fayssal Benkhaldoun | 1 | 53 | 10.38 |
| Mohammed Seaïd | 2 | 54 | 16.35 |