Laboratories of Applied Hydrodynamics and Hydraulic Constructions
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1 Flood routing Laboratories of Applied Hydrodynamics and Hydraulic Constructions AIMS : Unsteady computation of floods in any comple network of rivers Any natural cross-sections Eplicit computation of floodplains (discarge and water dept) Network of te Meuse river PROCESS : Quasi-bidimensional finite volume sceme Tabulated relationsips between Dept / Section / Perimeter Handling movable boundaries for floodplains at eac time-step computational nodes arms of a river confluences
2 Quasi-bidimensional Navier-Stokes Equations : Variable longitudinal discretisation of te river arms (- 2 m) Automatic time-step adaptation Second order precision for spatial and temporal discretisation Original splitting of te convective terms Sock capturing properties to andle mied regimes wit unsteady ydraulic jumps General resolution of any confluence = 2 sin u qp R q gu n g q gp qu q q t m L νω θ ω ω ω Conservation of mass Momentum conservation Manning s or Cezy friction law ( ) ( ) = = = d g l l l d l p d l p ω ), ( ) ( ), ( ) (
3 AIMS : Zone de stockage Zone d'écoulement Zone de stockage Pase stationnaire To go over te limitations of te classical metods as conveyance, Pase de crue Pase de décrue To numerically manage longitudinal free surface flows To induce transverse free surface and water ead gradients governing tranfers between riverbeds Eemples de pases instationnaires PROCESSES : Separate computation of te ydrodynamic beavior of eac riverbed Eplicit evaluation of te lateral ecanges according to te instantaneous state of eac river components
4 Hydrodynamics of te floodplains: Lits majeurs de la rivière Q 1 Q 2 Q 3 Lit mineur de la rivière Section transversale Plaines d'inondation Zones de stockage naturelles Lit mineur de la rivière Q Section transversale
5 AIMS : Lag effect of te floodplains on te main cannel Accelerator effect of te main cannel on te floodplains PROCESSES : t 3 D f 3 D f 3 D f 2 D f 2 t 2 Computation of te interactions between longitudinal flows Introduction of fluid-fluid friction between eac cannel t 1
6 Eperimental validation of te software : Débits longitudinau Débits latérau Débits (m³/s) Abscisse Lit majeur Lit mineur Débits (m²/s) Abscisse Proportion of discarge in te floodplain : Real : 19% Simulated : 22% Conveyance law : 5% Répartition des vitesses longitudinales selon la largeur Numérique Epérimental Vitesse (m/s) -.1
7 Computed networks in te framework of MOHICAN : Network of te Meaigne river Network of te Semois river 291 computationel nodes - 7 arms of rivers 1489 computational nodes - 21 arms of rivers Network of te Hoyou river Network of te Amblève river Network of te Lesse river 128 computational nodes - 5 arms of rivers 119 computational nodes - 19arms of rivers 378 computational nodes - 19 arms of rivers
8 Semois river : eample of flood propagation Etat après 3 Etat après 6 Etat après 12 Etat après 4 Etat après 9 Crue de la Semois Etat après 5 Etat après 1 Débit (m³/s) Temps (eures) Automatic optimisation of movable dams operations for staggered rivers Flood control, inland navigation,
9 Management of large reservoirs Reservoir = special kind of boundary element in te discretisation Imposition of a Froude number at te inlet Computation of flows spillways and regulation Filling management of te reservoir Discarge law to feed te downstream network Eample :dam on te Vesdre river
10 Eample of large dam management General situation Scale model : First situation Scale model : Final situation Topograpy Topograpy General topograpy Discarge modulus (m²s) Final situation : Modification of te filling basin s topograpy Deflectors Discarge modulus (m²s) Discarge modulus (m²s)
11 Situation before te pier break Laboratories of Applied Hydrodynamics and Hydraulic Constructions Future situation : 3 oles of 14m * 3m Discarge modulus (m²s) Discarge modulus (m²s) Flow of 9/1999 Free surface level (m) Free surface level (m) Historical view (191)
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