Computing hyperbolic two-fluid models with a porous interface

Frédéric Archambeau (1) , Laëtitia Girault (2, 1) , Jean-Marc Hérard (1) , Olivier Hurisse (1)

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

The paper examines the suitability of some finite-volume schemes in order to compute two-fluid models in a porous medium. The hyperbolic two-fluid model is governed by an entropy inequality, and admits unique jump conditions. Closure laws for drag effects and heat exchange are in agreement with standard single pressure two-fluid models. Emphasis is put on the behaviour of finite volume schemes when the computational domain contains a sharp porosity variation. Only two among the three schemes examined herein are shown to preserve a basic porous solution, whatever the mesh size is. Other properties including the preservation of the maximum principle for the void fractions are discussed, and the true behaviour of schemes in a test case representative of the propagation of a rarefaction wave in a pipe with sudden contraction is presented. The behaviour of the third scheme is indeed much better.

Mots clés: porous medium; two-phase flows; finite volumes; non-conservative schemes

Domaines: Mécanique des fluides [physics.class-ph]; Analyse numérique [cs.NA]; Physique Numérique [physics.comp-ph]

Frédéric Archambeau, Laëtitia Girault, Jean-Marc Hérard, Olivier Hurisse. Computing hyperbolic two-fluid models with a porous interface. Robert Eymard; Jean-Marc Hérard. Finite Volumes for Complex Applications V. Problems & Perspectives, ISTE; Wiley, pp.193-200, 2008, Proceedings of Finite Volumes for Complex Applications V, 978-1848210356. ⟨hal-01580985⟩