Simple diffusion hopping model with convection

B. Fitzgerald, J.T. Padding, R.A. van Santen

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Abstract

We present results from a new variant of a diffusion hopping model, the convective diffusive lattice model, to describe the behavior of a particulate flux around bluff obstacles. Particle interactions are constrained to an underlying square lattice where particles are subject to excluded volume conditions. In an extension to previous models, we impose a real continuous velocity field upon the lattice such that particles have an associated velocity vector. We use this velocity field to mediate the position update of the particles through the use of a convective update after which particles also undergo diffusion. We demonstrate the emergence of an expected wake behind a square obstacle which increases in size with increasing object size. For larger objects we observe the presence of recirculation zones marked by the presence of symmetric vortices in qualitative agreement with experiment and previous simulations.
Original languageEnglish
Article number013307
Number of pages11
JournalPhysical Review E
Volume95
Issue number1
DOIs
Publication statusPublished - Jan 2017

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Convection
convection
velocity distribution
Velocity Field
cliffs
Update
particle interactions
wakes
Model
particulates
Wake
Lattice Model
Square Lattice
vortices
Vortex
Interaction
simulation
Demonstrate
Experiment
Simulation

Cite this

Fitzgerald, B. ; Padding, J.T. ; van Santen, R.A. / Simple diffusion hopping model with convection. In: Physical Review E. 2017 ; Vol. 95, No. 1.
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Simple diffusion hopping model with convection. / Fitzgerald, B.; Padding, J.T.; van Santen, R.A.

In: Physical Review E, Vol. 95, No. 1, 013307 , 01.2017.

Research output: Contribution to journalArticleAcademicpeer-review

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