Title :

Approximation volumes finis structure-compatible de systèmes de diffusion croisée couplés par une interface libre

Author(s) :

Cancès, Clément [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Cauvin-Vila, Jean [Auteur]
MATHematics for MatERIALS [MATHERIALS]
Chainais-Hillairet, Claire [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ehrlacher, Virginie [Auteur]
MATHematics for MatERIALS [MATHERIALS]

Conference title :

Finite Volumes for Complex Applications X

City :

Strasbourg

Country :

France

Start date of the conference :

2023-10-30

Book title :

Finite Volume for Complex Applications X -- Volume 1, Elliptic and parabolic problems

Journal title :

Springer Proceedings in Mathematics & Statistics

Publisher :

Springer Nature Switzerland

Publication place :

Cham

Publication date :

2023-10-01

English keyword(s) :

Cross-diffusion system
Cut-cell method
Finite volume scheme
Free energy dissipation
Moving interface
Vapor deposition

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The moving interface is addressed with a ...
Show more >We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The moving interface is addressed with a cut-cell approach, where the mesh is locally deformed around the interface. The scheme preserves the structure of the continuous system, namely: mass conservation, nonnegativity, volume-filling constraints and decay of the free energy. Numerical results illustrate the properties of the scheme.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Systèmes de diffusion croisée sur des domaines en mouvement

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL