Convergence of a finite volume scheme for the incompressible fluids
arXiv:0704.0787
Abstract
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.
preprint; 19 pages; no figures