FSI modeling with the DSD/SST method for the fluid and finite difference method for the structure (Q2512521)

The author presents a partitioned fluid-structure interaction method based on using the deforming-spatial-domain/stabilized space-time method for the fluid mechanics part and a finite difference method for the structural mechanics part. The two-dimensional incompressible Newtonian fluid flow involving moving boundaries and a flexible structure is considered. The fluid flow is modeled by the Navier-Stokes equations. The flexible structure is a geometrically nonlinear plate. The governing equation for the plate is written in a Lagrangian form. The coupling of the deforming-spatial-domain/stabilized space-time and finite difference solvers makes sure that the boundary conditions on the fluid-structure interface at the end of each time step are matched between the fluid and the structure. A hanging plate in vacuum under gravitational force is performed to validate the structure solver. In addition, a pitching plate in a uniform flow is simulated to validate the fluid-structure interaction solver. Specific examples of the mechanical system are considered. The presented results are in reasonable agreement with data predicted by other methods.