arXiv:0704.0787 Abstract | arXiv Analytics

arXiv:0704.0787 [math.NA]Abstract References Reviews Resources

Convergence of a finite volume scheme for the incompressible fluids

Published 2007-04-05Version 1

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.

Comments: preprint; 19 pages; no figures

Categories: math.NA

Subjects: 76M12, 76B99

Keywords: finite volume scheme, incompressible fluids, convergence, two-dimensional incompressible navier-stokes equations, triangular mesh

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