Title :

A skeletal high-order structure preserving scheme for advection-diffusion equations

Author(s) :

Moatti, Julien [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Conference title :

Finite Volumes for Complex Applications X

City :

Strasbourg

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) :

Anisotropic advection-diffusion equations
general meshes
high-order schemes
structure preserving methods

HAL domain(s) :

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

English abstract : [en]

We introduce a nonlinear structure preserving high-order scheme for anisotropic advection-diffusion equations. This scheme, based on Hybrid High-Order methods, can handle general meshes. It also has an entropy structure, ...
Show more >We introduce a nonlinear structure preserving high-order scheme for anisotropic advection-diffusion equations. This scheme, based on Hybrid High-Order methods, can handle general meshes. It also has an entropy structure, and preserves the positivity of the solution. We present some numerical simulations showing that the scheme converges at the expected order, while preserving positivity and long-time behaviour.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