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A reduced basis method for radiative transfer equation

Apparaît dans la collection : Jean-Morlet Chair 2021- Workshop - Numerical Methods for Kinetic Equations (NumKin2021) / Chaire Jean-Morlet 2021 - Workshop - Méthodes numériques pour les équations cinétiques

Leveraging the existence of a hidden low-rank structure hinted by the diffusive limit, in this work, we design and test an angular space reduced order model for the linear radiative transfer equation based on reduced basis methods (RBMs). Our algorithm is built upon a high-fidelity solver employing the discrete ordinates method in the angular space, an upwind discontinuous Galerkin method for the physical space, with an efficient synthetic accelerated source iteration for the resulting linear system. Strategies are particularly proposed to tackle the challenges associated with the scattering operator within the RBM framework. This is a joint work with Z.Peng, Y. Chen, and Y. Cheng.

Informations sur la vidéo

Date de captation 14/06/2021
Date de publication 15/07/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19768903
Citer cette vidéo Li, Fengyan (14/06/2021). A reduced basis method for radiative transfer equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19768903
URL https://dx.doi.org/10.24350/CIRM.V.19768903

Domaine(s)

Analyse numérique

Bibliographie

PENG, Zhichao, CHEN, Yanlai, CHENG, Yingda, et al. A reduced basis method for radiative transfer equation. arXiv preprint arXiv:2103.07574, 2021. - https://arxiv.org/abs/2103.07574

Codes MSC

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