Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

Collection Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

Organizer(s) Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine

Date(s) 22/03/2021 - 26/03/2021

linked URL https://www.chairejeanmorlet.com/2355.html

00:00:00 / 00:00:00

9 19

Dynamical low-rank approximation for radiation transport

By Martin Frank

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.

Information about the video

Date of recording 25/03/2021
Date of publication 09/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19733803
Cite this video Frank, Martin (25/03/2021). Dynamical low-rank approximation for radiation transport. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19733803
URL https://dx.doi.org/10.24350/CIRM.V.19733803

Domain(s)

Numerical Analysis

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Martin_FRANK.pdf

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