Turbulent fluid-structure-acoustic interaction of an elastic plate in turbulent channel flow for different plate boundary conditions*

We perform a one-way coupled fluid-structure-acoustic interaction of an elastic plate in a turbulent channel flow using Direct Numerical Simulation (DNS) for different plate and flow parameters. The boundary condition's effect on the plate's response is studied at two friction Reynolds numbers, 180 and 400. Most previous works that studied the boundary condition's effect were performed in the frequency domain and compute only statistical quantities such as the plate's displacement cross-spectral density (CSD) using a model wall-pressure CSD. On the other hand, our calculations are performed in the time domain and yield the plate displacement's actual time-history using the DNS wall-pressure fluctuations. To simulate the turbulent flow, we solve the incompressible Navier-Stokes equations using finite volume DNS. To simulate the plate's response, we solve the linear elasticity equations using the continuous Galerkin finite element method. To simulate the far-field sound radiation, we solve the acoustic wave equation using the half-space Green's function. Furthermore, to examine how the fluid sources contribute to the structural vibration as a function of frequency and boundary condition, we use the framework of Anantharamu and Mahesh (2021) to post-process our DNS data.