ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS

Teddy Pichard (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We focus on a toy problem which corresponds to a simplification of a boiling twophase flow model. This model is a hyperbolic system of balance laws with a source term defined as a discontinuous function of the unknown. Several discretizations of this source terms are studied, and we illustrate their capacity to capture steady states.

Mots clés: Well-balanced scheme; Boiling flow; Hyperbolic balance laws

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Teddy Pichard. ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS. CIMNE, 2022, ⟨10.23967/eccomas.2022.172⟩. ⟨hal-03752771⟩