  We present a finite element framework for the numerical prediction of
cavitating turbulent flows interacting with flexible structures. The
vapor-fluid phases are captured through a homogeneous mixture model, with a
scalar transport equation governing the spatio-temporal evolution of cavitation
dynamics. High-density gradients in the two-phase cavitating flow motivate the
use of a positivity-preserving Petrov-Galerkin stabilization method in the
variational framework. A mass transfer source term introduces local
compressibility effects arising as a consequence of phase change. The turbulent
fluid flow is modeled through a dynamic subgrid-scale method for large eddy
simulations. The flexible structure is represented by a set of eigenmodes,
obtained through the modal analysis of the linear elasticity equations. A
partitioned iterative approach is adopted to couple the structural dynamics and
cavitating fluid flow, where the deforming flow domain is described by an
arbitrary Lagrangian-Eulerian frame of reference. Through the numerical
validation study, we establish the fidelity of the proposed framework by
comparing it against experimental and numerical studies for both rigid and
flexible hydrofoils in cavitating flows. Based on the validation study
conducted over a flexible NACA66 rectangular hydrofoil, we elucidate the role
of cavity and vortex shedding in governing the structural dynamics of a
flexible hydrofoil.
