Effect of a shock wave on a structure with contact using mesh refinement and parallelism – PRECIS

The goal of this project is the development and mathematical analysis of a numerical tool for the simulation of the interaction of air
shock waves with deformable structures, possibly involving the fragmentation and contact of the solid elements. The solid is
simulated using a Discrete Element method, a Finite Volume method is used for the fluid and coupling is achieved with Immersed
boundaries. To date, only deformation and fragmentation of the solid are taken into account. Integration of contact in the coupling
scheme requires the reconstruction of a fluid/solid interface and the definition of an interface deformation between successive
time-steps in order to ensure conservation of fluid mass. Moreover, in view of numerically resolving cracks and gaps between solids,
we wish to study the ability to integrate parallelization and adaptive mesh refinement of the fluid and the solid into the coupling
scheme.