Name
Abstract | ||
|---|---|---|
Transient flow over erodible bed is solved in this work assuming that the dynamics of the bed load problem is described by two mathematical models: the hydrodynamic model, assumed to be well formulated by means of the depth averaged shallow water equations, and the Exner equation. The Exner equation is written assuming that bed load transport is governed by a power law of the flow velocity and by a flow/sediment interaction parameter variable in time and space. The complete system is formed by four coupled partial differential equations and a genuinely Roe-type first order scheme has been used to solve it on triangular unstructured meshes. Exact solutions have been derived for the particular case of initial value Riemann problems with variable bed level and depending on particular forms of the solid discharge formula. The model, supplied with the corresponding solid transport formulae, is tested by comparing with the exact solutions. The model is validated against laboratory experimental data of different unsteady problems over erodible bed. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcp.2010.08.006 | J. Comput. Physics |
Keywords | Field | DocType |
hydrodynamic model,bedload sediment transport,flow velocity,exner equation,2d weak solutions,bank equilibrium,two-dimensional transient flow,mathematical model,transient flow,bed load problem,finite volume method,roe method,erodible bed,variable bed level,exact solution,shallow water,bed load transport,sediment transport,weak solution,riemann problem,shallow water equation,first order,power law,partial differential equation | Mathematical analysis,Bed load,Initial value problem,Mathematical model,Two-dimensional flow,Partial differential equation,Finite volume method,Exner equation,Mathematics,Shallow water equations | Journal |
Volume | Issue | ISSN |
229 | 23 | Journal of Computational Physics |
Citations | PageRank | References |
7 | 0.62 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Murillo | 1 | 61 | 6.64 |
| P. García-Navarro | 2 | 80 | 9.99 |