Finite volume method for general multifluid flows governed by the interface Stokes problem

A new finite volume scheme is used for the approximation of the Navier-Stokes equations on general grids, including non matching grids.. It is based on a discrete approximation of

However, the discrete finite volume Laplace operator involved in the weak formulation for the biharmonic problem (on both solution and test function) is known to be non-consistent

In Section 5, we prove the existence and uniqueness of discrete velocities solution to (7) on general structured or unstructured finite volume meshes (note that for general meshes,

On one hand, the dis- cretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural

We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) for the linear convection diffusion problem with structured and unstructured

In Sections 4 and 5, we study the mixed finite volume approximation respectively for Stokes and Navier-Stokes equations: we show that this method leads to systems (linear in the case

We derive an a posteriori error estimation for the discrete duality finite volume (DDFV) discretization of the stationary Stokes equations on very general twodimensional meshes, when

In order to get rid of the orthogonality constraints that restrict the use of MAC and covolume schemes to certain families of meshes, the price to pay in the DDFV framework is