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Peer-reviewedCC BY-NC-ND 4.0Physical Review Fluids

Numerical simulations of annular disc dynamics in homogeneous and density-stratified fluids at moderate Reynolds number

Abstract

The transport of particles in density-stratified fluids is an ubiquitous feature of natural environments. In the ocean, for example, particles and marine snow move through water columns with pronounced density variations arising from temperature and salinity gradients. Such stratification can significantly modify particle rise or settling rates and promote accumulation near sharp density transitions. Although previous works have largely focused on spherical particles, including their isolated motion, pairwise interactions, and collective transport in stratified fluids, the dynamics of non-spherical porous bodies remain less explored. Here, we examine the rising dynamics of an annular disc in both homogeneous and linearly stratified fluids using particle-resolved, three-dimensional direct numerical simulations based on an immersed-boundary method in a Cartesian domain. We quantify how the dynamics depend on the Froude and Archimedes numbers, and the diffusivity of the stratifying agent through the Schmidt number.

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BibTeX
@article{abdal2026numerical,
  title = {{Numerical simulations of annular disc dynamics in homogeneous and density-stratified fluids at moderate Reynolds number}},
  author = {A. Abdal and D. Panda and L. Kahouadji and M. Shams and S. Shin and J. Chergui and Damir Juric and O. Matar},
  journal = {Physical Review Fluids},
  year = {2026},
  month = oct,
  doi = {10.1103/32fm-np8h},
  url = {https://hal.science/hal-05835195v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - JOUR
TI  - Numerical simulations of annular disc dynamics in homogeneous and density-stratified fluids at moderate Reynolds number
AU  - A. Abdal
AU  - D. Panda
AU  - L. Kahouadji
AU  - M. Shams
AU  - S. Shin
AU  - J. Chergui
AU  - Damir Juric
AU  - O. Matar
PY  - 2026
DA  - 2026/10/20
JO  - Physical Review Fluids
DO  - 10.1103/32fm-np8h
UR  - https://hal.science/hal-05835195v1
AB  - The transport of particles in density-stratified fluids is an ubiquitous feature of natural environments. In the ocean, for example, particles and marine snow move through water columns with pronounced density variations arising from temperature and salinity gradients. Such stratification can significantly modify particle rise or settling rates and promote accumulation near sharp density transitions. Although previous works have largely focused on spherical particles, including their isolated motion, pairwise interactions, and collective transport in stratified fluids, the dynamics of non-spherical porous bodies remain less explored. Here, we examine the rising dynamics of an annular disc in both homogeneous and linearly stratified fluids using particle-resolved, three-dimensional direct numerical simulations based on an immersed-boundary method in a Cartesian domain. We quantify how the dynamics depend on the Froude and Archimedes numbers, and the diffusivity of the stratifying agent through the Schmidt number.
SN  - 2469-990X
ER  -