Direct numerical simulation of turbulent channel flow with a compliant wall using geometric volume-of-fluid method

We perform Direct Numerical Simulation (DNS) of turbulent channel flow with a compliant bottom wall and a rigid top wall at a bulk Reynolds number of 2800. For this fully coupled fluid-structure interaction (FSI) problem, we use a volume-of-fluid (VOF) formulation to simultaneously solve the momentum conservation equations with incompressibility constraints in both domains. To capture the fluid-solid interface, we use the geometric VOF method, where the interface is reconstructed using the piecewise linear interface calculation (PLIC) method and the interface is advected using the directionally split Lagrangian Explicit (LE) approach. The compliant wall is considered as a viscous hyperelastic solid, where the neo-Hookean material model prescribes the hyperelastic stress using the left Cauchy-Green deformation tensor (B). To treat the advection term involved in the transport equation of B, we use the fifth-order weighted essentially non-oscillatory (WENO) finite difference reconstruction approach. In this study, we assess the impact of compliant wall parameters on near-wall turbulence and the nature of fluid-solid coupling, where the material properties are selected to yield a wide range of deformation levels. We will discuss the results.