A vector projection method for solving the Navier-Stokes equations

We propose a method of solving the Navier-Stokes equations in incompressibl e 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 con cerns how the projection is made, directly operating on all the components of the velocity field through a coupling. A highly implicit algorithm allow s Its to maintain all physical boundary conditions of the problem during th e solution steps. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.