Title :

Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

Author(s) :

Krell, Stella [Auteur]
COmplex Flows For Energy and Environment [COFFEE]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Université Côte d'Azur [UniCA]
Moatti, Julien [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Conference title :

Finite Volumes for Complex Applications X

City :

Strasboug

Country :

France

Start date of the conference :

2023-10-30

Journal title :

Springer Proceedings in Mathematics & Statistics

Publisher :

Springer Nature Switzerland

Publication place :

Cham

Publication date :

2023-10-01

English keyword(s) :

Discrete Duality Finite Volume
Hybrid Finite Volume
Positivity preserving methods
Discrete entropy/dissipation relation
Long-time behaviour

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

We made a comparison between a Discrete Duality Finite Volume (DDFV) scheme and a Hybrid Finite Volume (HFV) scheme for a drift-diffusion model with mixed boundary conditions on general meshes. Both schemes are based on a ...
Show more >We made a comparison between a Discrete Duality Finite Volume (DDFV) scheme and a Hybrid Finite Volume (HFV) scheme for a drift-diffusion model with mixed boundary conditions on general meshes. Both schemes are based on a nonlinear discretisation of the convection-diffusion fluxes, which ensures the positivity of the discrete densities. We investigate the behaviours of the schemes on various numerical test cases.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL