POEMs - POlytopal Element Methods in Mathematics and Engineering

Collection POEMs - POlytopal Element Methods in Mathematics and Engineering

Organizer(s) Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella

Date(s) 29/04/2019 - 03/05/2019

linked URL https://conferences.cirm-math.fr/1954.html

00:00:00 / 00:00:00

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Polyhedral discretizations for industrial applications

By Jérôme Bonelle

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.

Information about the video

Date of recording 02/05/2019
Date of publication 28/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19529203
Cite this video Bonelle, Jérôme (02/05/2019). Polyhedral discretizations for industrial applications. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19529203
URL https://dx.doi.org/10.24350/CIRM.V.19529203

Domain(s)

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

MSC codes

Document(s)

https://imag.umontpellier.fr/~di-pietro/poems2019/jerome_bonelle.pdf

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