A fictitious domain method with enhanced interfacial mass conservation for immersed FSI with thin-walled solids
Abstract
In this paper, we extend the low-order fictitious domain method with enhanced mass conservation presented in [ESAIM: Math. Model. Numer. Anal., 58(1):303-333, 2024] to the case of coupling with immersed thin-walled solids. Both surface and 3D-shell models are considered for the description of the solid, including contact between solids. For both models, the interface coupling is enforced on the mid-surface of the shell using a stabilized Lagrange multiplier formulation. Numerical examples in both two and three dimensions illustrate the effectiveness of the method, including its successful application to the simulation of aortic heart valve dynamics.
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