Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows
Robert Eymard, Raphaèle Herbin, Jean-Claude Latché, Bruno Piar (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
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...