A level set approach for dilute non-collisional fluid-particle flows Article

Liu, H, Wang, Z, Fox, RO. (2011). A level set approach for dilute non-collisional fluid-particle flows . JOURNAL OF COMPUTATIONAL PHYSICS, 230(4), 920-936. 10.1016/j.jcp.2010.08.030

cited authors

  • Liu, H; Wang, Z; Fox, RO



  • Gas-particle and other dispersed-phase flows can be described by a kinetic equation containing terms for spatial transport, acceleration, and particle processes (such as evaporation or collisions). However, computing the dispersed velocity is a challenging task due to the large number of independent variables. A level set approach for computing dilute non-collisional fluid-particle flows is presented. We will consider the sprays governed by the Williams kinetic equation subject to initial distributions away from equilibrium of the form ∑i=1Nρi(x)δ(ξ-ui(x)). The dispersed velocity is described as the zero level set of a smooth function, which satisfies a transport equation. This together with the density weight recovers the particle distribution at any time. Moments of any desired order can be evaluated by a quadrature formula involving the level set function and the density weight. It is shown that the method can successfully handle highly non-equilibrium flows (e.g. impinging particle jets, jet crossing, particle rebound off walls, finite Stokes number flows). © 2010 Elsevier Inc.

publication date

  • February 20, 2011

published in

Digital Object Identifier (DOI)

start page

  • 920

end page

  • 936


  • 230


  • 4