Interaction of incompressible hyperelastic structures with turbulent flows

We discuss an Eulerian approach to simulate fluid-structure interaction problems for hyperelastic solids. To solve the momentum conservation equations in the combined domain, we use a one-continuum formulation, and the simulations are performed using our in-house flow solver which uses a finite volume method that is second-order accurate in space and time. In both domains, incompressibility constraints are enforced, and in the solid domain, we use neo-Hookean constitutive equations to account for the hyperelastic behavior. To convect the solid volume fraction, we consider two methodologies - geometric volume-of-fluid and fifth-order weighted essentially non-oscillatory (WENO) scheme. To convect the left Cauchy-Green deformation tensor, we use the fifth-order WENO scheme. Our approach is validated using problems such as a solid disk and a compliant wall in a lid-driven cavity. We apply this methodology to simulate the interaction of wall-bounded turbulent flow with dynamic complex surfaces and investigate the coupling. The results will be discussed.