A two-dimensional relaxation scheme for the hybrid modelling of two-phase flows

Kateryna Dorogan (1, 2) , Jean-Marc Hérard (2, 1) , Jean-Pierre Minier (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 EDF - EDF

Recently, a new relaxation scheme for hybrid modelling of two-phase flows has been proposed. This one allows to obtain stable unsteady approximations for a system of partial differential equations containing non-smooth data. This paper is concerned with a two-dimensional extension of the present method, in which two alternative relaxation schemes are compared. A partial analysis of continuous stability is given.

Domaines: Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]

Kateryna Dorogan, Jean-Marc Hérard, Jean-Pierre Minier. A two-dimensional relaxation scheme for the hybrid modelling of two-phase flows. Jaroslav Fort - Jiri Furst - Jan Halama - Raphaele Herbin - Florence Hubert. PROM, 4, pp.351-359, 2011, Springer Proceedings in Mathematics, ⟨10.1007/978-3-642-20671-9_37⟩. ⟨hal-01580269⟩