Title :

A finite volume method for a convection- diffusion equation involving a Joule term

Author(s) :

Calgaro, Caterina [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Creusé, Emmanuel [Auteur]
Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 [LAMAV]
Reliable numerical approximations of dissipative systems [RAPSODI]

Scientific editor(s) :

Springer

Conference title :

International Conference on Finite Volumes for Complex Applications IX

City :

Bergen

Country :

Norvège

Start date of the conference :

2020-06-15

Journal title :

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publication date :

2020

HAL domain(s) :

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

English abstract : [en]

This work is devoted to a Finite Volume method to approximate the solution of a convection-diffusion equation involving a Joule term. We propose a way 5 to discretize this so-called "Joule effect" term in a consistent way ...
Show more >This work is devoted to a Finite Volume method to approximate the solution of a convection-diffusion equation involving a Joule term. We propose a way 5 to discretize this so-called "Joule effect" term in a consistent way with the non linear diffusion one, in order to ensure some maximum principle properties on the solution. We then investigate the numerical behavior of the scheme on two original benchmarks.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL