Convergence of a finite volume scheme for the incompressible fluids

Details Convergence of a finite volume scheme for the incompressible fluids Convergence of a finite volume scheme for the incompressible fluids

2007-04-05

arxiv.org/abs/0704.0787v1

Mathematics

Numerical Analysis

preprint; 19 pages; no figures

Scientific paper

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.

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