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Nitsche's method for incompressible flows
【2014.7.25 3:00pm, Z301】

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 2014-7-25 

  Colloquia & Seminars 

  Speaker

Prof. Roland Becker,Laboratoire de Mathématiques Appliquées. Université de Pau et des Pays de l'Adour, France  

  Title

Nitsche's method for incompressible flows 

  Time

2014.7.25 3:00pm

  Venue

Z301   

  Abstract

In this talk we study the finite element formulation of general boundary conditions for incompressible flow problems. Distinguishing between the contributions from the inviscid and viscid parts of the equations, we use Nitsche's method to develop a discrete weighted weak formulation valid for all values of the viscosity parameter, including the limit case of the Euler equations. In order to control the discrete kinetic energy, additional consistent terms are introduced. We treat the limit case as a (degenerate) system of hyperbolic equations, using a balanced spectral decomposition of the flux Jacobian matrix, in analogy with compressible flows. Following the theory of Friedrich's systems, the natural characteristic boundary condition is generalized to the considered physical boundary conditions. Then we consider further applications of this technique to residual-based stabilization and domain decomposition. Several numerical experiments, including standard benchmarks for viscous flows as well as inviscid flows are presented.  

  Affiliation

 

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