An embedded method for fluid-structure interaction based on the L2 - projection between non conforming overlapping meshes
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The use of variational approaches for the stable information transfer between non-matching meshes along surfaces or overlapping meshes in volumes, represents an essential ingredient for the numerical discretization of coupled multi-physics or multi-scale problems arising from contact or fracture mechanics, fluid-structure interaction (FSI) and geoscience. We employ a localized version of the L2-projection for handling the fluid-structure volumetric coupling and a variant of the mortar method for coupling the surfaces of the structures in contact. We present an embedded approach for the numerical solution of contact problems between multiple elastic structures immersed in a fluid flow. The proposed method allows for the transfer of discrete fields between the fluid and the solid meshes, which are geometrically non-conforming and are arbitrarily distributed among processors. Our approach is applied to simulate the full dynamics of a bio-prosthetic heart valve
