An asymptotic preserving multi-dimensional ALE method for a system of two compressible flows coupled with friction

Stéphane del Pino (1) , Emmanuel Labourasse (1) , Guillaume Morel (1)

1 DSSI - Département des Sciences de la Simulation et de l'Information

We present a multi-dimensional asymptotic preserving scheme for the approximation of a mixture of compressible flows. Fluids are modeled by two Euler systems of equations coupled with a friction term. The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that behaves well in all regimes (i.e. whatever the friction parameter value is). The method we propose is defined in ALE coordinates, using a Lagrange plus remap approach. This imposes a multi-dimensional definition and analysis the scheme.

Mots clés: Compressible gas dynamics; multi-fluid; finite-volumes; unstructured meshes; asymptotic preserving; arbitrary-Lagrangian-Eulerian (ALE)

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Physique des plasmas [physics.plasm-ph]; Milieux fluides et réactifs

Stéphane del Pino, Emmanuel Labourasse, Guillaume Morel. An asymptotic preserving multi-dimensional ALE method for a system of two compressible flows coupled with friction. 2017. ⟨hal-01505238⟩