We consider a finite volume scheme for the two-dimensional incompressible Navier-Stokes equations. We use a triangular mesh. The unknowns for the velocity and pressure are respectively piecewise constant and affine. We use a projection method to deal with the incompressibility constraint. In a former paper, the stability of the scheme has been proven. We infer from it its convergence.
@article{arxiv.0704.0787,
title = {Convergence of a finite volume scheme for the incompressible fluids},
author = {Sebastien Zimmermann},
journal= {arXiv preprint arXiv:0704.0787},
year = {2007}
}