Nitsche’s method for defective boundary value problems in incompressibile fluid-dynamics

In this work we present a unified formulation for the prescription of defective boundary conditions in fluid-dynamics, by means of the Nitsche’s method. We study the well-posedness of the discrete problem and the convergence of the numerical solution. Finally, we present several numerical results, focusing on the validation of the proposed method, on a comparison with a pre-existing strategy for the prescription of the flow rate, and on the application to the fluid-structure interaction case.