A new AI based computation method of the Eddington factor in the M1-multigroup model - Joseph Louis LAGRANGE
Preprints, Working Papers, ... Year : 2024

A new AI based computation method of the Eddington factor in the M1-multigroup model

Gonzague Radureau
Claire Michaut
  • Function : Author
  • PersonId : 1180944

Abstract

The M1-multigroup model intricately captures the interaction between light and matter, incorporating the spectral behaviour of photons. However, a critical aspect of this model lies in determining the Eddington factor, which is used in the closure relation linking radiative pressure to radiative energy. Despite lacking an analytical expression, our investigation unveils that the Eddington factor depends solely on three parameters: the radiative temperature, the reduced flux, and the frequency bounds’ ratio of a considered group. To address this challenge, we have devised a novel approach leveraging neural networks and polynomials, enabling rapid and accurate estimation of this quantity. Our method showcases significant advantages over existing techniques. It demonstrates speeds up to 3,000 times faster than the most precise method utilising a line search algorithm and achieves precision levels up to 1,000 times higher than those relying on the M1-grey model’s Eddington factor expression. Moreover, unlike interpolation-based methods, our approach eliminates the need for prior knowledge of radiative quantities. Consequently, our method emerges as one of the most efficient means to precisely compute the Eddington factor in the M1-multigroup model, offering a potent tool for advancing radiative hydrodynamics simulations.
Fichier principal
Vignette du fichier
Radureau_Michaut_2024.pdf (2.54 Mo) Télécharger le fichier
Origin Files produced by the author(s)
licence
Public Domain

Dates and versions

hal-04661994 , version 1 (25-07-2024)

Licence

Public Domain

Identifiers

  • HAL Id : hal-04661994 , version 1

Cite

Gonzague Radureau, Claire Michaut. A new AI based computation method of the Eddington factor in the M1-multigroup model. 2024. ⟨hal-04661994⟩
166 View
32 Download

Share

More