English
Polyhedral discretizations for industrial applications
Multi angle
Auteurs : Bonelle, Jérôme (Auteur de la Conférence)
CIRM (Editeur )
65N50 - Mesh generation and refinement
65Nxx - Partial differential equations, boundary value problems
76S05 - Flows in porous media; filtration; seepage
Ressources complémentaires :
https://imag.umontpellier.fr/~di-pietro/poems2019/jerome_bonelle.pdf
CIRM (Editeur )
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Résumé :
This talk will be devoted to the usage of new discretization schemes on polyhedral meshes in an industrial context. These discretizations called CDO [1, 2] (Compatible Discrete Operator) or Hybrid High Order [3,4] (HHO) schemes have been recently implemented in Code Saturne [5]. Code Saturne is an open-source code developed at EDF R&D aiming at simulating single-phase flows. First, the advantages of robust polyhedral discretizations will be recalled. Then, the underpinning principles of CDO schemes will be presented as well as some applications: diffusion equations, transport problems, groundwater flows or the discretization of the Stokes equations. High Performance Computing (HPC) aspects will be also discussed as it is an essential feature in an industrial context either to address complex and large computational domains or to get a quick answer. Some highlights on the main outlooks will be given to conclude.
Codes MSC : 65N50 - Mesh generation and refinement
65Nxx - Partial differential equations, boundary value problems
76S05 - Flows in porous media; filtration; seepage
Ressources complémentaires :
https://imag.umontpellier.fr/~di-pietro/poems2019/jerome_bonelle.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 28/05/2019 Date de captation : 02/05/2019 Sous collection : Research talks arXiv category : Numerical Analysis ; Analysis of PDEs Domaine : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Durée : 00:38:05 Audience : Researchers Download : https://videos.cirm-math.fr/2019-05-02_Bonelle.mp4 
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Informations sur la Rencontre
Nom de la rencontre : POEMs - POlytopal Element Methods in Mathematics and EngineeringOrganisateurs de la rencontre : Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella Dates : 29/04/2019 - 03/05/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/1954.html
Données de citation
DOI : 10.24350/CIRM.V.19529203Citer cette vidéo: Bonelle, Jérôme (2019). Polyhedral discretizations for industrial applications. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19529203 URI : http://dx.doi.org/10.24350/CIRM.V.19529203 |
Voir aussi
- [Multi angle] Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour / Auteur de la Conférence Chainais-Hillairet, Claire.
- [Multi angle] Combining cut element methods and hybridization / Auteur de la Conférence Burman, Erik.
- [ Post-edited] Gradient discretisations : tools and applications / Auteur de la Conférence Eymard, Robert.
- [Multi angle] Virtual element approximation of magnetostatic / Auteur de la Conférence Marini, Donatella.
Bibliographie
- BONELLE, Jérôme et ERN, Alexandre. Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 2014, vol. 48, no 2, p. 553-581. - https://doi.org/10.1051/m2an/2013104
- Pierre Cantin, Jérôme Bonelle, Erik Burman, Alexandre Ern. A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Computers and Mathematics with Applications, Elsevier, 2016 - https://doi.org/10.1016/j.camwa.2016.07.038
- Daniele Antonio Di Pietro, Alexandre Ern, Simon Lemaire. An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Computational Methods in Applied Mathematics, De Gruyter, 2014, 14 (4), pp.461-472. - https://doi.org/10.1515/cmam-2014-0018
- Daniele Di Pietro, Alexandre Ern, Alexander Linke, Friedhelm Schieweck. A discontinuous skeletal method for the viscosity-dependent Stokes problem. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2016, 306, pp.175-195. - https://doi.org/10.1016/j.cma.2016.03.033
- Code Saturne website - https://www.code-saturne.org
