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2D Numerical Simulation of Sediment Transport with Variable Density

Author(s): Carmelo Juez; Javier Murillo; Pilar Garcia-Navarro

Linked Author(s): Pilar García-Navarro

Keywords: Finite volume method; 2D shallow water; Variable density; Sediment transport; Roe method

Abstract: In this work an approximate augmented Riemann solver is formulated providing an appropriate numerical scheme for mathematical models of free surface flows over erodible bed considering variable density. When numerically modelling these phenomena, conventional methods solve the decoupled hydrodynamic and morphodynamic systems, using splitting techniques. Considering that momentum conservation equations include source terms arising from the variation of the bed level, uncoupled solvers are not adequate for rapidly varying flows, leading to unstable solutions even in cases of moderate transient flows. Therefore, it is necessary to define a coupled formulation for the sediment transport, able to deal with a full range of hydrodynamic and morphodynamic problems. Hence a new Roe-type scheme which includes the presence of variable density and source terms involving erosion/deposition processes is defined on 2D meshes.


Year: 2013

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