A non intrusive reduced basis method : application to computational fluid dynamics
CHAKIR ; MADAY ; PARNAUDEAU ; JOLY
Type de document
COMMUNICATION ORALE SANS ACTES (COM)
Langue
anglais
Auteur
CHAKIR ; MADAY ; PARNAUDEAU ; JOLY
Résumé / Abstract
For the real-time or many-query context classical discretization techniques such as finite element method are genrally too expensive. The reduced basis method exploits the parametric structure of the governing PDEs to construct rapidly, convergenta and computationally efficient approximations. Previous work on the reduced basis method in numerical fluid dynamics has been carried and more particularly for the steady Navier-Stokes equations which requires treatment of non-linearities and non-affine parametric dependence. In an industrial framework, for optimization processes for instance these reduced basis methods have a great potential. On of the keys of this technique is the decomposition of the computational work into an off-line and on-line stage. Previous vork on the reduced basis method in numerical fluid dynamics has been carried and more particularly for the steady Navier-Stokes equations which requires treatment of non-linearities and non-affine parametic dependence. However in some situation, it's not possible to perform all the off-line computations required with an efficient performance of the reduced method. For example when the simulation code is used as a black box, one won't be able to perform a very fast and cheap online stage. For this reason, we proposed an alternative method, non intrusive. The aim of this work is to provide tests to validate and generalize our method to fluid dynamics problems.
