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CUDAM Department of Civil and Environmental Engineering University of Trento

IMPACT Investigation of Extreme Flood Processes & Uncertainty. Zaragoza, Nov 3 th -5 th 2004. CUDAM Department of Civil and Environmental Engineering University of Trento. Composition of the numerical group: L. Fraccarollo M. Giuliani G. Rosatti. 1D mathematical and numerical approach.

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CUDAM Department of Civil and Environmental Engineering University of Trento

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  1. IMPACT Investigation of Extreme Flood Processes & Uncertainty Zaragoza, Nov 3th-5th 2004 CUDAM Department of Civil and Environmental Engineering University of Trento Composition of the numerical group:L. FraccarolloM. GiulianiG. Rosatti

  2. 1D mathematical and numerical approach => Finite-volume conservative scheme (Fraccarollo et. al. 2003) =>Fulling coupling hydro-morphodynamics =>The simulation starts at the dyke =>We represent the real section and interpolate in between

  3. 1D mathematical model Awet area, u average velocity, bs width at surface, zb average bottom-elevation, c average concentration, cb bottom oncentration, rwwater density, rs sediment density, I1 first order of the wetted cross section with respect to the free surface; I2 spatial derivative of the first moment I1, Rh hydraulic radius, t bottom shear-stress, ac Coriolis compensation coefficient.

  4. Starting assumptions for the 1D modelling There is no account for the bedrock profile (future work)

  5. Data section input BED and ROCK

  6. Results

  7. Results Rock outcrop

  8. Results Section Rock out Strano che non affiori la roccia

  9. Results section

  10. Results Rock outcrop Trento

  11. Volume

  12. 2D mathematical and numerical approach =>Fulling coupling hydro-morphodynamics (following 1D) =>The simulation includes the upstream lake =>Rectangular computational cells =>Finite volume extension of the 1D conservative scheme

  13. Two-phase mixture: sediments water (up,vp) (u,v) g Definition of theangle-phase displacements : Grain trajectory g

  14. Mathematical model with the angle-phase displacements Mass balance: solid liquid+solid Momentum balance: liquid+solid x - direction liquid+solid y - direction

  15. Some details on Ha!Ha! simulations =>The breach has not been represented =>The qinput is inserted far-away from the dyke, with no momentum =>Initial conditions: downstream of the dyke there is no water =>No informations about sediments

  16. Hints to preliminary results

  17. Problems: => Sediment fluxes have to corrected in our Riemann approximate solver => Boundary are saw-edged represented • => Bank erosions and angle-phase displacements have to be included yet

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