Study of the mixed finite volume method for Stokes and Navier-Stokes equations

Jerome Droniou, Robert Eymard

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Abstract

We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in Droniou and Eymard, Numer Math 105 (2006), 35-71, and can be applied to any type of grid (without orthogonality assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.
Original languageEnglish
Pages (from-to)137 - 171
Number of pages35
JournalNumerical Methods for Partial Differential Equations
Volume25
Issue number1
DOIs
Publication statusPublished - 2009
Externally publishedYes

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