Stabilized methods and inf-sup conditions

Tomas Chacon Rebollo

Instituto de Matematicas, Universidad de Sevilla

Wednesday 4th October 2017

14:00:00

Aula seminari III piano, Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO

Stabilized methods provide a procedure to stabilize the various sources of instabilities that arise in the numerical simulation of incompressible fluid flows with reduced computational cost. It consists in adding to the standard Galerkin formulation specific terms aiming at stabilizing the possible sources of instabilities (convection dominance, pressure discretization,…). We shall describe an analysis technique for Navier-Stokes equations, in which the stability of the pressure discretization is based upon the existence of an underlying inf-sup condition between an augmented velocity space and the pressure space. We will next apply this kind of techniques to the discretization of the Primitive Equations of the Ocean. We will end by presenting an application to reduced-order modeling of turbulence. Contatto: luca.bonaventura@polimi.it