Sur une méthode de projection vectorielle pour la résolution des équations de Navier-Stokes

Abstract

We propose a method of solving the Navier-Stokes equations in incompressible flow. It is based on the projection of the velocity field, approached by a prediction step on a zero divergence field. The novelty of this method concerns how the projection is made, directly operating on all the components of the velocity field through a coupling. A highly implicit algorithm allows us to maintain all physical boundary conditions of the problem during the solution steps.