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Polyhedral discretizations for industrial applications
Multi angle
Authors : Bonelle, Jérôme (Author of the conference)
CIRM (Publisher )
65N50 - Mesh generation and refinement
65Nxx - Partial differential equations, boundary value problems
76S05 - Flows in porous media; filtration; seepage
Additional resources :
https://imag.umontpellier.fr/~di-pietro/poems2019/jerome_bonelle.pdf
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 65N50 - Mesh generation and refinement
65Nxx - Partial differential equations, boundary value problems
76S05 - Flows in porous media; filtration; seepage
Additional resources :
https://imag.umontpellier.fr/~di-pietro/poems2019/jerome_bonelle.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/05/2019 Conference Date : 02/05/2019 Subseries : Research talks arXiv category : Numerical Analysis ; Analysis of PDEs Mathematical Area(s) : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 00:38:05 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-05-02_Bonelle.mp4 
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Information on the Event
Event Title : POEMs - POlytopal Element Methods in Mathematics and EngineeringEvent Organizers : Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella Dates : 29/04/2019 - 03/05/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1954.html
Citation Data
DOI : 10.24350/CIRM.V.19529203Cite this video as: 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 |
See Also
- [Multi angle] Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour / Author of the conference Chainais-Hillairet, Claire.
- [Multi angle] Combining cut element methods and hybridization / Author of the conference Burman, Erik.
- [Post-edited] Gradient discretisations : tools and applications / Author of the conference Eymard, Robert.
- [Multi angle] Virtual element approximation of magnetostatic / Author of the conference Marini, Donatella.
Bibliography
- 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
