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Commit 8ad25807 authored by Spencer Sherwin's avatar Spencer Sherwin
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Merge branch 'pub/update_hackathon' into 'master'

Pub/update hackathon

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author = {Cooke, Emma},
year = {2020},
school = {Imperial College London},
groups = {thesis}
groups = {thesis},
doi = {10.25560/83744},
abstract = { Destabilisation effects of forward facing steps,
backward facing steps and bumps on stationary and
travelling crossflow disturbances are investigated
computationally for a 40 degree infinitely swept
wing. Step and bump heights range from 18\% to 82\% of
the boundary layer thickness and are located at 3\%,
10\% and 20\% chord. The spectral/hp element solver,
Nektar++, is used to compute base flow profiles with
an embedded swept wing geometry. Parabolised
Stability Equations (PSE) and Linearised Harmonic
Navier-Stokes (LHNS) models are used to evaluate
growth of convecting instabilities. The presence of
surface step features impose an extremely rapidly
varying flow field locally, which requires accurate
resolution of the perturbed flow field. Derivations
of these PSE and LHNS models incorporating the
excrescence (PSEh, LHNSh) are elucidated. Unlike the
PSE, which suffer from a stream-wise numerical step
size restriction, the LHNS are a fully elliptic set
of equations which may use an arbitrarily fine grid
resolution. Unsurprisingly, the PSE codes fail to
capture the effect of abrupt changes in surface
geometry introduced by the step features. Results
for the LHNS and roughness incorporating LHNSh are
given for the varying vertical step and ramped type
steps. Comparisons are made between the LHNSh model
and direct numerical simulations involving the
time-stepping linearised Navier-Stokes solver
(NekLNS) in the Nektar++ software framework. Most
previous work in the topic area has focused on
Tollmien-Schlichting perturbations over
two-dimensional flat plate flows or aerofoils, the
novelty of this work lies with analysing crossflow
instability over a swept wing boundary-layer flow
with step features. PSEh and LHNSh models are tested
with convecting Tollmien Schlichting instability
over a dimple and randomly distributed roughness on
an overall flat plate flow. The dimple case performs
very well whereas it is more difficult to obtain
converged results with the random roughness case,
likely due to large stream-wise velocity gradient
changes. A 45degree ramped shape roughness is
investigated and remarkably good agreement between
the LHNSh solution and NekLNS solution is
found. Forward facing ramps and steps are found to
act as greater amplifiers with increased height,
whilst backward facing ramps and steps predict very
weak changes in the disturbance development. This is
contrary to the wider literature and an argument is
made that backward facing steps and ramps initiate
an immediate non-linear interaction which cannot be
captured with linear theory. Vertical forward facing
step cases also predict greater amplification with
increased step height, which is not observed in the
backward facing step cases. Again, this is believed
to be due to non-linear mode interaction that is
immediately triggered by the step. Bump roughness
cases agree well qualitatively with experimental
work on a 40 degree swept wing, the AERAST
geometry. Good agreement locally to the roughness
could not be drawn with the NekLNS solutions, likely
due to the presence of strong stream-wise gradients
and mesh limitations.}
}
@inproceedings{mejia-2020,
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