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| HAL : hal-00448465, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (19-01-2010) | v2 (14-06-2011) |
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| The Discrete Duality Finite Volume method for the Stokes equations on 3-D polyhedral meshes |
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| Stella Krell 1Gianmarco Manzini 2 |
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| (19/01/2010) |
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| We develop a Discrete Duality Finite Volume (\DDFV{}) method for the three-dimensional steady Stokes problem with a variable viscosity coefficient on polyhedral meshes. Under very general assumptions on the mesh, which may admit non-convex and non-conforming polyhedrons, we prove the stability and well-posedness of the scheme. We also prove the convergence of the numerical approximation to the velocity, velocity gradient and pressure, and derive a priori estimates for the corresponding approximation error. Final numerical experiments confirm the theoretical predictions. |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| 2 : | Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI-CNR) |
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Consiglio Nazionale delle Ricerche |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| 3-D Stokes equations – discrete duality finite volume method – polyhedral mesh – variable viscosity |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00448465, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00448465 | |
| oai:hal.archives-ouvertes.fr:hal-00448465 | |
| Contributeur : Stella Krell | |
| Soumis le : Mardi 14 Juin 2011, 15:17:52 | |
| Dernière modification le : Mardi 14 Juin 2011, 15:57:18 | |
