Numerical model of a compressible multi-fluid fluctuating flow

Christophe Berthon (1, 2) , Boniface Nkonga (2, 1)

1 SCALAPPLIX - Algorithms and high performance computing for grand challenge applications
2 MAB - Laboratoire de Mathématiques Appliquées de Bordeaux

In the present work, we consider the numerical approximations of multi-fluid compressible fluctuating flows. Assuming that the flow is composed by non mixing compressible fluids, we derived a modelization that can be view as an extension of the standard compressible (k, ǫ). This model is fundamentally in non conservation form (the coupling between fluids and turbulence involves non conservative products) and the usual finite volume methods fail. The nonlinear projection scheme is used to preserve, at the discrete level, the main properties of the model. The numerical computations are performed on the Richtmeyer-Meshkov instability to validate the approach and to measure the influence of fluctuations.

Mots clés: compressible flows; velocity fluctuations; non-conservative equations; nonlinear projection methods

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]

Christophe Berthon, Boniface Nkonga. Numerical model of a compressible multi-fluid fluctuating flow. International Journal on Finite Volumes, 2005, 2, pp.1-22. ⟨hal-01115330⟩