Multiphysics simulation in mechanical design

The objective of the course is to present the formulations and the discretization methods capable of simulating coupled problems. For this purpose, the integral and variational formulations, adapted to fluid and solid media, will be analyzed and put in complementarity. Digital implementations on concrete examples will be carried out within the framework of 3 BE. The fluid-structure coupling, with and without flow, will be particularly studied as well as the electromagnetic and electro-static coupling in the case of solid and fluid media (piezoelectics, ferro-fluids, magneto-strictives).

1 / Discretization of problems Case of media without flow: Integral formulations; Variational formulations. Case of flowing fluids: Finite volumes, Variational formulations. 2 / Fluid-structure coupling Vibro-acoustics of structures coupled to a compressible and non-compressible fluid. Calculation of the behavior of structures subjected to a fluid flow. 3 / Thermo-mechanical coupling Formulation of thermo-mechanical problems Calculation of stationary and transient behaviors. Application to the braking system. 4 / Electro-mechanical coupling Calculation of the dynamic behavior of structures with piezoelectric materials. Calculation of the behavior of solids and fluids subjected to electromagnetic fields.