Saddle point preconditioners for linearized Navier-Stokes equations discretized by a finite volume method

International audienceWe are interested in the numerical resolution of the Navier-Stokes problem dis- cretized by a finite-volume method, named DDFV (Discrete Duality Finite Vol- ume method), whose particularity is to work with unstructured and non-conforming meshes. The initial nonlinear system may be transformed into a sequence of Oseen- type problems in rotational form which take the form of saddle-point problems. Some efficient preconditioners have been studied when this kind of Oseen-type prob- lem is discretized by a finite element or a finite difference method but they have not been extended to matrices obtained from finite volume methods. In the present work, we will focus on the adaptation of the most efficient preconditioning tech- niques to our finite-volume scheme