Nitsche's Method for Defective Boundary Value Problems in Incompressibile Fluid-dynamics

Authors:
Christian Vergara
Affiliations:
Department of Information Technology and Mathematical Methods, Università degli Studi di Bergamo, Dalmine, Italy 24044
Venue:
Journal of Scientific Computing
Year:
2011

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Abstract

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.