Two phase media and fluid-solid interactions

Continuum Mechanics, Solid Mechanics and/or Fluid Mechanics (see 1^st year Mechanics course)

•  Understand and model solid/fluid interactions in natural or urban environments: porous media (including concrete, soils, rocks and granular media), free surface flows with erosion
•  Acquire the basic elements to approach the hydraulic risk, the flood risk, and the risk analysis associated with reservoir dams and river protection dykes
•  Concepts related to dams and dikes concerning environmental impacts, renewable energies and climate change impacts

•  Mechanics of porous media (including concrete, soils, rocks and granular media): two-phase conservation equations, behavioral laws (Mohr-Coulomb failure criteria, Cam-Clay behavioral models, Hill instability criterion) and solid/fluid interaction (Darcy's law, heat transport, Terzaghi's effective constraints, internal erosion).
•  Two-phase flows, erosion and sediment transport: two-phase conservation equations and jump equations, elements of fluid mechanics (turbulence, roughness), external flow/porous medium interactions (mass exchange, momentum exchange, Brinkman's law, external erosion), free-surface flows
surface flows, Navier-Stokes equations with erosion, shallow water eqs. with erosion
•  Application examples: reservoir dams and river dikes for flood protection (utility, design, safety, hydraulic risk analysis, study of some historical failures), impact of reservoir dams on the environment, reservoir dams and renewable energy, flood risk and climate change
•  Labs :
  -- Session 1: Poromechanical calculation with Abaqus ;
  -- Session 2 : Simulation of the erosion failure of a river protection dam and flood wave propagation with CastorDigue

•  Understand and know how to model porous media, free surface flows with erosion
•  Know how to propose an operational model adapted to the problem
•  Analyze and criticize computational results
•  Develop complex models of multiphase media for a new problem

CC: Reports on practical works (100%)

Course handout 

Stéphane Bonelli (research director, Inrae, Aix-en-Provence)