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Simulations of stably stratified flow past two spheres at Re = 300

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journal contribution
posted on 12.04.2021, 13:42 by F Cocetta, Joanna Szmelter, Mike Gillard
Flows past two spheres immersed in a horizontally moving, linearly-stratified fluid are investigated at a moderate Reynolds number of 300. Characterisation of flow patterns considers representative geometrical configurations defined by varying both the distance between the spheres and their relative orientation to the free stream direction. Simulations are performed on unstructured meshes chosen to accurately resolve the dynamics of fluids in regions close to the spheres for Froude numbers Fr ∈ [0.25,∞]. Results illustrate the evolution of boundary layers, separation, and the wakes interaction under the influence of a gravity induced buoyancy force. Computations utilise a limited area, nonhydrostatic model employing Non-oscillatory Forward-in-Time (NFT) integration based on the Multidimensional Positive Definite Advection Transport Algorithm (MPDATA). The model solves the Navier-Stokes equations in the incompressible Boussinnesq limit, suitable for describing a range of mesoscale atmospheric flows. Results demonstrate that stratification progressively dominates the flow patterns as the Froude number decreases and that the interactions between the two spheres’ wakes bear a resemblance to atmospheric flows past hills.

Funding

EPSRC studentship grant 1965773

Horizon 2020 Research and Innovation Programme (ESCAPE2 grant agreement no. 800897)

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Physics of Fluids

Volume

33

Issue

4

Publisher

AIP Publishing

Version

AM (Accepted Manuscript)

Rights holder

© The authors

Publisher statement

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Cocetta, F., Szmelter, J. and Gillard, M. (2021). Simulations of stably stratified flow past two spheres at Re = 300. Physics of Fluids, 33(4): 046602 and may be found at https://doi.org/10.1063/5.0044801

Acceptance date

16/03/2021

Publication date

2021-04-06

Copyright date

2021

ISSN

1070-6631

eISSN

1089-7666

Language

en

Depositor

Dr Mike Gillard Deposit date: 8 April 2021

Article number

046602

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