Affordable Access

Publisher Website

Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows

Authors
Journal
Progress in Energy and Combustion Science
0360-1285
Publisher
Elsevier
Publication Date
Volume
32
Issue
3
Identifiers
DOI: 10.1016/j.pecs.2005.07.002
Keywords
  • Dispersed Two-Phase Flows
  • Turbulence
  • Pdf Methods
  • Particle/Mesh Algorithms
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract The purpose of this paper is to give an overview in the realm of numerical computations of polydispersed turbulent two-phase flows, using a mean-field/PDF approach. In this approach, the numerical solution is obtained by resorting to a hybrid method, where the mean fluid properties are computed by solving mean-field (RANS) equations with a classical finite volume procedure whereas the local instantaneous properties of the particles are determined by solving stochastic differential equations (SDEs). The fundamentals of the general formalism are recalled and particular attention is focused on a specific theoretical issue: the treatment of the multiscale character of the dynamics of the discrete particles, i.e. the consistency of the system of SDEs in asymptotic cases. Then, the main lines of the particle/mesh algorithm are given and some specific problems, related to the integration of the SDEs, are discussed, for example, issues related to the specificity of the treatment of the averaging and projection operators, the time integration of the SDEs (weak numerical schemes consistent with all asymptotic cases), and the computation of the source terms. Practical simulations, for three different flows, are performed in order to demonstrate the ability of both the models and the numericals to cope with the stringent specificities of polydispersed turbulent two-phase flows.

There are no comments yet on this publication. Be the first to share your thoughts.