P. Charrier et al., CELL-CENTERED METHOD FOR VISCOUS COMPUTAT IONS ON UNSTRUCTURED MESHES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(1), 1996, pp. 91-94
We propose a new method to compute the diffusive pat of the Navier-Sto
kes equations, in the ''cell-centered'' framework fixed by the hyperbo
lic part treatment. It is based on a finite elements/finite volumes co
upling. A theoretical analysis leading to converge and error estimates
results for a convection-diffusion model problem subtantiates this ap
proach. Moreover; numerical results demonstrate its efficiency for Nav
ier-Stokes computations.