Adaptive Immersed Mesh Method (AIMM) for Fluid Structure Interaction

The need to simulate flexible, relatively thin structures is of growing interest with applications ranging from thin cylindrical sensors to membrane like structures. These structures usually interact with their surroundings to accumulate data, or for a specific purpose. The inevitable interaction between the surrounding fluid and the solid is solved using a novel Fluid Structure Interaction (FSI) coupling scheme. This paper proposes a novel way to model the interaction between fluid and solid. It consists of a hybrid methods that combines both the traditional monolithic and partitioned approaches for Fluid Structure Interaction (FSI). The solid mesh is immersed in a fluid solid mesh at each time iteration, whilst having its own independent Lagrangian hyperelastic solver. The Eulerian mesh contains both the fluid and solid, and accommodate additional physical phenomena. Anisotropic mesh adaptation and the Level-Set methods are used for the interface coupling between the solid and fluid to better capture the interaction between them. All of the above components form the Adaptive Immersed Mesh Method (AIMM). The Variational Multi-Scale (VMS) method is used for both solvers to damp out any spurious oscillations that may arise for piece wise linear tetrahedral elements. The framework is constructed in 3D with parallel computing in mind. Various 2D numerical problems are investigated to evaluate the accuracy, robustness, and capabilities of our method. Different three dimensional test cases are presented and are compared to experimental results as well.