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Corpus ID: 2476697

Stability of a finite volume scheme for the incompressible fluids

@article{Zimmermann2007StabilityOA,
title={Stability of a finite volume scheme for the incompressible fluids},
author={S. Zimmermann},
journal={arXiv: Numerical Analysis},
year={2007}
}

We introduce 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. We show that the differential operators in the Navier-Stokes equations and their discrete counterparts share similar properties. In particular we state an inf-sup (Babuska-Brezzi) condition. Using these… Expand