English
Dynamical low-rank approximation for radiation transport
Virtualconference
Auteurs : Frank, Martin (Auteur de la conférence)
CIRM (Editeur )
76M12 - Finite volume methods
65M08 - Finite volume methods
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Martin_FRANK.pdf
CIRM (Editeur )
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Résumé :
The dynamical low-rank approximation is a low-rank factorization updating technique. It leads to differential equations for factors in a decomposition of the solution, which need to be solved numerically. The dynamical low-rank method seems particularly suitable for solving kinetic equations, because in many relevant cases the effective dynamics takes place on a lower-dimensional manifold and thus the solution has low rank. In this way, the 5-dimensional (3 space, 2 angle) radiation transport problem is reduced, both in computational cost as well as in memory footprint. We show several numerical examples.
Codes MSC : 76M12 - Finite volume methods
65M08 - Finite volume methods
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Martin_FRANK.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 09/04/2021 Date de Captation : 25/03/2021 Sous Collection : Research talks Catégorie arXiv : Numerical Analysis Domaine(s) : Analyse Numérique & Calcul Formel Format : MP4 (.mp4) - HD Durée : 00:36:53 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-03-25_Frank.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la Rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL de la Rencontre : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19733803Citer cette vidéo: Frank, Martin (2021). Dynamical low-rank approximation for radiation transport. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19733803 URI : http://dx.doi.org/10.24350/CIRM.V.19733803 |
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Bibliographie
- PENG, Zhuogang, MCCLARREN, Ryan G., et FRANK, Martin. A low-rank method for two-dimensional time-dependent radiation transport calculations. Journal of Computational Physics, 2020, vol. 421, p. 109735. - https://doi.org/10.1016/j.jcp.2020.109735
