May 31, 2022
Université de Technologie de Compiègne
Europe/Paris timezone

Session

Caterina Calgaro

May 31, 2022, 3:00 PM
Université de Technologie de Compiègne

Université de Technologie de Compiègne

Centre d'Innovation, 57 Av. de Landshut, 60200 Compiègne. Depuis la gare de Compiègne : Ligne 5, direction "Hôpital", arrêt "Centre de recherches". Des documents sont disponibles sur la page d'accueil pour plus d'informations.

Description

Given a specific low-Mach model expressed in velocity, pressure and temperature variables, we
focus our attention on the convergence of a finite volume method to approximate the solution of a
convection-diffusion equation involving a Joule term. In particular:
- we establish a discrete version of a Gagliardo-Nirenberg inequality, to apply it to the analysis
of the numerical scheme,
- we consider a discretization of the Joule term consistent with the non linear diffusion one, in
order to ensure the maximum principle on the solution,
- we prove the convergence of the numerical scheme by compactness arguments.

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