DDFV method for Navier-Stokes problem with outflow boundary conditions
We propose to present some results on the approximation by DDFV (Discrete Duality Finite Volume) methods of the incompressible Navier-Stokes problem with open boundary conditions on the outflow. The advantage of DDFV schemes is to be able to work on general meshes that do not necessarily satisfy the classical orthogonality condition imposed on finite volume meshes. The boundary conditions we are interested in have been derived by a particular weak formulation of Navier-Stokes that ensures an energy estimate. We propose to recreate the same situation at a discrete level thanks to the DDFV formalism.