Title :

Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures

Author(s) :

Bailo, Rafael [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Rey, Thomas [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]

Journal title :

Journal of Computational Physics

Pages :

111082

Publisher :

Elsevier

Publication date :

2022-06

ISSN :

0021-9991

English keyword(s) :

Multispecies gas
kinetic mixture
Boltzmann equation
BGK model
projective integration
Sod Tube
Kelvin-Helmholtz
Richtmyer-Meshkov

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Modèles multi-échelles et simulation numérique hybride de semi-conducteurs
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Comment :

36 pages, 16 figures, 3 tables

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL