Modeling Compressible Viscous Fluid-Solid Interaction Using a Nitsche-Based Finite Element Method
* Presenting author
Abstract:
Modeling the interaction between a flexible structure and a viscous compressible fluid has a wide range of applicability, for instance, in micro-electro-mechanical systems. Despite the importance of fluid compressibility in sound propagation, its impact has been seldom studied in modeling fluid-solid interactions. In this work, we propose and analyze a Nitsche-based finite element method for modeling the interaction between a compressible viscous fluid and an elastic solid. The Nitsche method enforces the coupling conditions in a weak sense, thus supporting the non-conforming mesh discretization at the interface. In our model, linearized balances of mass, momentum, and energy are used to capture the viscous and thermal behavior of the fluid, and the balance of momentum is used to model the elastic solid. We applied our formulation in multiple test case scenarios with combinations of various solid and fluid materials. In doing so, the results of our model agree with those estimated by other analytical and numerical models.