Abstract
We present several aspects of a general monolithic formulation for the steady-state interaction of a viscous incompressible flow with an elastic structure undergoing large displacements. The problem is solved in a direct fully-coupled manner by a Newton–Raphson adaptive finite element method. A pseudo-solid formulation is used to manage the deformations of the fluid domain. The formulation uses fluid velocity, pressure, and pseudo-solid 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. Its capabilities are then demonstrated on different fluid-structure configurations ranging from aeronautical to biomedical fields.
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