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Rismo2D is a hydrodynamic numerical computer program to solve for the depth-averaged shallow water equations by means of the Finite Element Method. Rismo2D was developed during a research project funded by the German Research Foundation (DFG) at the Institute of Hydraulic Enginee- ring and Water Resources Management - Aachen University: The development of a numerical computational method for near-natural streams DFG-Project Ro 365 / 31 Rismo2D computes the water elevation and the depth-averaged velocity for stationary or instationary streams. Based on a Finite Element discretization the computation can be carried out for arbitrary water- courses with complex geometrical and hydraulical boundary conditions. Different laws may be used to account for bottom roughness. The friction of submerged and non-submerged flood plain vegetation may be computed by means of geometrical parameters. The approximation of the (turbulent) Reynolds stresses is based on Boussinesqs principle of eddy viscosity, where the eddy viscosity may be computed with different closure models: constant elementwise eddy viscosity predefined by the user algebraic shear stress model (anisotropic / Elder) Prandtl's mixing layer model k-e-turbulence model Furthermore, a Horizontal Large Eddy Simulation (H-LES) based on the Smagorinsky model approach has been proved in some recent project studies. Within the H-LES subgrid turbulence model both horizontal velocity gradients (Prandtl's mixing length model) and bottom shear stresses (Elder model) are taken into account. After the solution of the flow field in one time step, the conservative transport of matter in solution or suspension may be computed decoupled by solving the depth-averaged advection diffusion equation. Also, the transport of sediment as bed load may be computed based on the formulas of Meyer-Peter-Mueller or van-Rijn. The computation of transport pro- cesses is within the stage of development, and limited to one-fractional transport. Bottom elevation changes are computed from the Exner equation and incorporated within the next time step. Michael Schroeder 25. April 2014
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Rismo2D is a hydrodynamic numerical computer program to solve for the depth-averaged shallow water equations by means of the Finite Element Method.
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