A finite volume scheme for hybrid turbulent two-phase flow models

Jean-Marc Hérard (1) , Jean-Pierre Minier (2) , Sergio Chibarro

1 EDF - EDF
2 EDF R&D - EDF R&D

In this paper, we present a new hybrid method for the computation of dispersed two-phase flows. As with the classical hybrid method, an Eulerian (or mean-field) and a Lagrangian (or PDF) points of view are coupled but, in the present approach, the hybrid Euler/Lagrange description is extended to the simulation of the particle phase. In particular, the particle volumetric fraction and the particle mean velocity are obtained as solutions of partial differential equations on a mesh where a part of the information is provided by the Lagrangian description as a source term in the evolution equations. The second objective of the paper is to propose a novel numerical technique which relies on the hyperbolic nature of the underlying equations and makes use of relaxation techniques. The numerical ideas are explained and first computational results illustrate the feasability of the new hybrid method.

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

Jean-Marc Hérard, Jean-Pierre Minier, Sergio Chibarro. A finite volume scheme for hybrid turbulent two-phase flow models. 18th AIAA Computational Fluid Dynamics Conference, Jun 2007, New Orleans, United States. pp.2112-2122, ⟨10.2514/6.2007-4587⟩. ⟨hal-01582668⟩