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Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows

Robert EymardRaphaèle HerbinJean-Claude LatchéBruno Piar — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

We present and analyse in this paper a novel cell-centered collocated finite volume scheme for incompressible flows. Its definition involves a partition of the set of control volumes; each element of this partition is called a cluster and consists in a few neighbouring control volumes. Under a simple geometrical assumption for the clusters, we obtain that the pair of discrete spaces associating the classical cell-centered approximation for the velocities and cluster-wide constant pressures is ...

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