AIMM for Fluid—Structure Interaction
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Applications consisting of membrane like, relatively thin structures are of growing interest. These applications are usually comprised of a structure, and a surrounding fluid. In order to fully model these phenomena, one must be able to simulate the inevitable fluid—structure interaction of these two mediums. This is done through the Adaptive Immersed Mesh Method (AIMM) for Fluid—Structure Interaction (FSI). It is a hybrid method that combines advantages of existing method in the literature. Both the fluid and the solid are first resolved in a Eulerian manner, taking advantage of the immersed method to implicitly represent the fluid-solid interface, and to anisotropically adapt the mesh at said interface. Also, a hyperelastic Lagrangian solver is used to represent the solid on a separate Lagrangian mesh, taking advantage of more complicated constitutive laws, non-linear resolution, and the Moving Mesh Method (MMM) for interface tracking. The Variational Multi-Scale (VMS) method is used for both the fluid and solid resolution for stabilization purposes. Finally, the coupling between the separate representation is insured through dynamic re-immersion, data interpolation. Different numerical examples are investigated to assess the robustness, accuracy, and capabilities of the proposed AIMM for FSI.
