Adaptive Immersed Mesh Method (AIMM) for Fluid–Structure Interaction.

Our paper proposes an innovative approach for modeling Fluid–Structure Interaction (FSI). Our method combines both traditional monolithic and partitioned approaches, creating a hybrid solution that facilitates FSI. At each time iteration, the solid mesh is immersed within a fluid–solid mesh, all while maintaining its independent Lagrangian hyperelastic solver. The Eulerian mesh encompasses both the fluid and solid components and accommodates various physical phenomena. We enhance the interaction between solid and fluid through anisotropic mesh adaptation and the Level-Set methods. This enables a more accurate representation of their interaction. Together, these components constitute the Adaptive Immersed Mesh Method (AIMM). For both solvers, we utilize the Variational Multi-Scale (VMS) method, mitigating potential spurious oscillations common with piecewise linear tetrahedral elements. The framework operates in 3D with parallel computing capabilities. Our method's accuracy, robustness, and capabilities are assessed through a series of 2D numerical problems. Furthermore, we present various three-dimensional test cases and compare their results to experimental data. • A novel hybrid coupling method for FSI that takes the advantages of the partitioned approach, and retaining the advantages of the monolithic approach. • Ability to handle 2D/3D sharp membrane like geometries and interfaces through tetrahedral anisotropic unstructured finite elements.. • The level set method is used in the immersion of the solid mesh onto the fluid–solid mesh for interface tracking. • Variational Multi-Scale (VMS) stabilization for piece-wise linear finite elements to damp out spurious pressure oscillations and highly advective flows. • Moving Mesh Method (MMM) that considers the solid dynamics and helps track the FSI interface on the solid mesh. [ABSTRACT FROM AUTHOR]