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A reduced basis method for radiative transfer equation

Appears in 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.

Information about the video

Date of recording 14/06/2021
Date of publication 15/07/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19768903
Cite this video 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

Domain(s)

Numerical Analysis

Bibliography

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

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