Convergence of the Marker-and-Cell Scheme for the Incompressible Navier–Stokes Equations on Non-uniform Grids

Author:

Gallouët T.,Herbin R.,Latché J.-C.,Mallem K.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Reference31 articles.

1. P. Blanc. Error estimate for a finite volume scheme on a MAC mesh for the Stokes problem. In Finite volumes for complex applications II, pages 117–124. Hermes Sci. Publ., Paris, 1999.

2. P. Blanc. Convergence of a finite volume scheme on a MAC mesh for the Stokes problem with right-hand side in $$H^{-1}$$ H - 1 . In Finite volumes for complex applications IV, pages 133–142. ISTE, London, 2005.

3. F. Boyer and P. Fabrie. Mathematical tools for the study of the incompressible Navier–Stokes equations and related models, volume 183 of Applied Mathematical Sciences. Springer, New York, 2013.

4. E. Chénier, R. Eymard, T. Gallouët, and R. Herbin. An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier–Stokes equations. Calcolo, 52(1):69–107, 2015.

5. R. Chénier. Transferts couplés en convection naturelle/mixte pour des écoulements fluides en régime laminaire ou transitionnel - de la modélisation à la simulation numérique. H.D.R. Université Paris-Est, 12 2012.

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