TY - JOUR

T1 - Simple diffusion hopping model with convection

AU - Fitzgerald, Barry W.

AU - Padding, Johan T.

AU - van Santen, R.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://resolver.tudelft.nl/uuid:dd497400-f848-42e8-bf49-2105f6835c7d

UR - http://www.scopus.com/inward/record.url?scp=85010443074&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.95.013307

DO - 10.1103/PhysRevE.95.013307

M3 - Article

AN - SCOPUS:85010443074

VL - 95

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

SN - 1539-3755

IS - 1

M1 - 013307

ER -