Abstract
This paper presents a three-dimensional viscous vortex method for the simulation
of particulate flows with two-way coupling. The flow is computed using Lagrangian
vortex elements advected with the local velocity, while their strength is modified to
account for viscous diffusion, vortex stretching, and generating vorticity induced by
the particles. The solid particles move according to viscous drag and gravity, creating
vorticity, which is discretised using vortex elements. This method adaptively tracks
the evolution of the vorticity field and the generation of new computational elements
to account for the vorticity source term. A key aspect of the present scheme is the remeshing
of the computational elements to adaptively accommodate the production
of vorticity induced by the solid particles, and to ensure sufficient support for the
proper resolution of the diffusion equation. High-order moment-conserving formulas
are implemented to maintain the adaptive character of the method while they remain
local to minimize the computational cost. These formulas are also implemented in
the particle–mesh interpolation of the field and particle quantities in the context of
a Vortex-in-Cell algorithm. The method is validated against the results of a related
finite-difference study for an axisymmetric swirling flow with particles. The method
is then applied to the study of a three-dimensional particle blob falling under the effect
of gravity. It is shown that drastically different behaviours are found depending on
the presence of an initial vorticity field.
Keyword: Vortex methods,Particle-laden flows,Lagrangian method
Keyword: Vortex methods,Particle-laden flows,Lagrangian method
Original language | English |
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Journal | Journal of Computational Physics |
Volume | 167 |
Pages (from-to) | 39-71 |
ISSN | 0021-9991 |
DOIs | |
Publication status | Published - 2001 |
Externally published | Yes |