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Article Dans Une Revue Numerical Methods for Partial Differential Equations Année : 2008

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

Résumé

We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in [6], and can be applied on 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.
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Dates et versions

hal-00110911 , version 1 (02-11-2006)

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Jerome Droniou, Robert Eymard. Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Numerical Methods for Partial Differential Equations, 2008, ⟨10.1002/num.20333⟩. ⟨hal-00110911⟩
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