Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2022

Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures

Résumé

We propose fully explicit projective integration and telescopic projective integration schemes for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods employ a sequence of small forward-Euler steps, intercalated with large extrapolation steps. The telescopic approach repeats said extrapolations as the basis for an even larger step. This hierarchy renders the computational complexity of the method essentially independent of the stiffness of the problem, which permits the efficient solution of equations in the hyperbolic scaling with very small Knudsen numbers. We validate the schemes on a range of scenarios, demonstrating its prowess in dealing with extreme mass ratios, fluid instabilities, and other complex phenomena.
Fichier principal
Vignette du fichier
BailoRey_ProjectiveKineticMixtures.pdf (2.36 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03262587 , version 1 (16-06-2021)

Identifiants

Citer

Rafael Bailo, Thomas Rey. Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures. Journal of Computational Physics, 2022, 458, pp.111082. ⟨10.1016/j.jcp.2022.111082⟩. ⟨hal-03262587⟩
42 Consultations
39 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More