Abstract
This paper presents a monolithic formulation for the steady-state interaction of a viscous incompressible flow with an elastic structure undergoing large displacements. This is an initial step towards developing an unsteady analysis formulation for this class of problems. The entire problem is solved in an implicit manner via a Newton-Raphson pseudo-solid approach, using fluid velocity, pressure, and pseudo-structural displacements as unknowns in the flow domain and displacements in the structural components. The adaptive formulation is verified on a problem with a closed form solution and applied to a flexible hydrofoil.
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