arXiv (Cornell University),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Jan. 1, 2023
This
study
proposes
a
novel
method
for
developing
discretization-consistent
closure
schemes
implicitly
filtered
Large
Eddy
Simulation
(LES).
Here,
the
induced
filter
kernel,
and
thus
terms,
are
determined
by
properties
of
grid
discretization
operator,
leading
to
additional
computational
subgrid
terms
that
generally
unknown
in
priori
analysis.
In
this
work,
task
adapting
coefficients
LES
models
is
framed
as
Markov
decision
process
solved
an
posteriori
manner
with
Reinforcement
Learning
(RL).
optimization
framework
applied
both
explicit
implicit
models.
The
model
based
on
element-local
eddy
viscosity
model.
optimized
found
adapt
its
within
discontinuous
Galerkin
(DG)
methods
homogenize
dissipation
element
adding
more
near
center.
For
modeling,
RL
identify
optimal
blending
strategy
hybrid
DG
Finite
Volume
(FV)
scheme.
resulting
yields
accurate
results
than
either
pure
or
FV
renders
itself
viable
modeling
ansatz
could
initiate
class
high-order
compressible
turbulence
combining
shock
capturing
single
framework.
All
newly
derived
achieve
match
outperform
traditional
different
discretizations
resolutions.
Overall,
demonstrate
proposed
can
provide
closures
reduce
uncertainty
LES.
Theoretical and Applied Mechanics Letters,
Journal Year:
2023,
Volume and Issue:
13(6), P. 100475 - 100475
Published: Oct. 20, 2023
Wind-farm
flow
control
stands
at
the
forefront
of
grand
challenges
in
wind-energy
science.
The
central
issue
is
that
current
algorithms
are
based
on
simplified
models
and,
thus,
fall
short
capturing
complex
physics
wind
farms
associated
with
high-dimensional
nature
turbulence
and
multiscale
wind-farm-atmosphere
interactions.
Reinforcement
learning
(RL),
as
a
subset
machine
learning,
has
demonstrated
its
effectiveness
solving
problems
various
domains,
studies
performed
last
decade
prove
it
can
be
exploited
development
next
generation
for
wind-farm
control.
This
review
two
main
objectives.
Firstly,
aims
to
provide
an
up-to-date
overview
works
focusing
schemes
utilizing
RL
methods.
By
examining
latest
research
this
area,
seeks
offer
comprehensive
understanding
advancements
made
through
application
techniques.
Secondly,
shed
light
obstacles
researchers
face
when
implementing
RL.
highlighting
these
challenges,
identify
areas
requiring
further
exploration
potential
opportunities
future
research.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(12)
Published: Dec. 1, 2023
This
study
proposes
a
novel
method
for
developing
discretization-consistent
closure
schemes
implicitly
filtered
large
eddy
simulation
(LES).
Here,
the
induced
filter
kernel
and,
thus,
terms
are
determined
by
properties
of
grid
and
discretization
operator,
leading
to
additional
computational
subgrid
that
generally
unknown
in
priori
analysis.
In
this
work,
task
adapting
coefficients
LES
models
is
thus
framed
as
Markov
decision
process
solved
an
posteriori
manner
with
reinforcement
learning
(RL).
optimization
framework
applied
both
explicit
implicit
models.
The
model
based
on
element-local
viscosity
model.
optimized
found
adapt
its
within
discontinuous
Galerkin
(DG)
methods
homogenize
dissipation
element
adding
more
near
center.
For
modeling,
RL
identify
optimal
blending
strategy
hybrid
DG
finite
volume
(FV)
scheme.
resulting
yields
accurate
results
than
either
pure
or
FV
renders
itself
viable
modeling
ansatz
could
initiate
class
high-order
compressible
turbulence
combining
shock
capturing
single
framework.
All
newly
derived
achieve
match
outperform
traditional
different
discretizations
resolutions.
Overall,
demonstrate
proposed
can
provide
closures
reduce
uncertainty
LES.
Journal of Fluid Mechanics,
Journal Year:
2024,
Volume and Issue:
981
Published: Feb. 21, 2024
An
accurate
prediction
of
turbulence
has
been
very
costly
since
it
requires
an
infinitesimally
small
time
step
for
advancing
the
governing
equations
to
resolve
fast-evolving
small-scale
motions.
With
recent
development
various
machine
learning
(ML)
algorithms,
finite-time
became
one
promising
options
relieve
computational
burden.
Yet,
a
reliable
motions
is
challenging.
In
this
study,
PredictionNet,
data-driven
ML
framework
based
on
generative
adversarial
networks
(GANs),
was
developed
fast
with
high
accuracy
down
smallest
scale
using
relatively
number
parameters.
particular,
we
conducted
two-dimensional
(2-D)
decaying
at
finite
lead
times
direct
numerical
simulation
data.
The
model
accurately
predicted
turbulent
fields
up
half
Eulerian
integral
over
which
large-scale
remain
fairly
correlated.
Scale
decomposition
used
interpret
predictability
depending
spatial
scale,
and
role
latent
variables
in
discriminator
network
investigated.
good
performance
GAN
predicting
attributed
scale-selection
scale-interaction
capability
variable.
Furthermore,
by
utilising
PredictionNet
as
surrogate
model,
control
named
ControlNet
identify
disturbance
that
drive
evolution
flow
field
direction
optimises
specified
objective
function.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(8)
Published: Aug. 1, 2023
An
ensemble
Kalman
filter
(EnKF)-based
mixed
model
(EnKF-MM)
is
proposed
for
the
subgrid-scale
(SGS)
closure
in
large-eddy
simulation
(LES)
of
turbulence.
The
coefficients
are
determined
through
EnKF-based
data
assimilation
technique.
direct
numerical
(DNS)
results
filtered
to
obtain
benchmark
LES.
Reconstructing
correct
kinetic
energy
spectrum
DNS
(fDNS)
has
been
adopted
as
target
EnKF
optimize
coefficient
functional
part
model.
EnKF-MM
framework
subsequently
tested
LES
both
incompressible
homogeneous
isotropic
turbulence
(HIT)
and
turbulent
mixing
layer
(TML).
performance
comprehensively
examined
predictions
flow
statistics
including
velocity
spectrum,
probability
density
functions
(PDFs)
SGS
stress,
PDF
strain
rate
flux.
structure
functions,
evolution
energy,
mean
Reynolds
stress
profile,
iso-surface
Q-criterion
also
evaluate
spatial-temporal
by
different
models.
consistently
more
satisfying
compared
traditional
models,
dynamic
Smagorinsky
(DSM),
(DMM)
gradient
(VGM),
demonstrating
its
great
potential
optimization
models
AIAA Journal,
Journal Year:
2023,
Volume and Issue:
62(4), P. 1434 - 1446
Published: Dec. 20, 2023
The
constants
and
functions
in
Reynolds-averaged
Navier–Stokes
(RANS)
turbulence
models
are
coupled.
Consequently,
modifications
of
a
RANS
model
often
negatively
impact
its
basic
calibrations,
which
is
why
machine-learned
augmentations
detrimental
outside
the
training
dataset.
A
solution
to
this
identify
degrees
freedom
that
do
not
affect
calibrations
only
modify
these
identified
when
recalibrating
baseline
accommodate
specific
application.
This
approach
colloquially
known
as
“rubber-band”
approach,
we
formally
call
“constrained
recalibration”
paper.
To
illustrate
efficacy
Spalart–Allmaras
log
law
calibration.
By
subsequently
interfacing
data-based
methods
with
freedom,
train
solve
historically
challenging
flow
scenarios,
including
round-jet/plane-jet
anomaly,
airfoil
stall,
secondary
separation,
recovery
after
separation.
In
addition
good
performance
inside
dataset,
trained
yield
similar
Physics of Fluids,
Journal Year:
2025,
Volume and Issue:
37(4)
Published: April 1, 2025
Thermal
convection
in
a
closed
chamber
is
driven
by
warm
bottom,
cold
top,
and
side
walls
at
various
temperatures.
Although
wall
fluxes
are
the
source
of
energy,
accurately
modeling
these
(i.e.,
model)
challenging.
In
large-eddy
simulations
(LESs),
many
models
traditionally
derived
from
canonical
boundary
layer,
which
may
be
unsuitable
for
thermal
bounded
both
horizontal
vertical
walls.
This
study
conducts
model
intercomparison
dry
cubic-meter
using
three
direct
numerical
(DNSs)
four
LESs
with
different
models.
The
employ
traditional
models,
new
employing
physics-aware
neural
networks,
refined
grid
near
experiment
involves
cases
varying
sidewall
Our
results
show
that
capture
main
flow
features
trends
mean
fluxes.
networks
grids
can
improve
temporally
averaged
local
when
large-scale
circulation
has
preferred
direction.
Even
without
improvement
fluxes,
LES
quantities
(temperature
velocities)
still
largely
match
those
DNSs,
provided
flux
matches
DNSs.
Additionally,
DNSs
reveal
variation
corner
treatments
minimal
impacts
on
away
corners.
Finally,
underestimate
entire
due
to
their
inability
resolve
regions,
but
better
DNS.
Journal of Fluid Mechanics,
Journal Year:
2025,
Volume and Issue:
1011
Published: May 13, 2025
Developing
a
consistent
near-wall
turbulence
model
remains
an
unsolved
problem.
The
machine
learning
method
has
the
potential
to
become
workhorse
for
modelling.
However,
learned
suffers
from
limited
generalisability,
especially
flows
without
similarity
laws
(e.g.
separated
flows).
In
this
work,
we
propose
knowledge-integrated
additive
(KIA)
approach
wall
models
in
large-eddy
simulations.
proposed
integrates
knowledge
simplified
thin-boundary-layer
equation
with
data-driven
forcing
term
non-equilibrium
effects
induced
by
pressure
gradients
and
flow
separations.
capability
each
dataset
is
encapsulated
using
basis
functions
corresponding
weights
approximated
neural
networks.
fusion
of
capabilities
various
datasets
enabled
distance
function,
way
that
preserved
generalisability
other
cases
allowed.
demonstrated
via
training
sequentially
data
gradient
but
no
separation,
data.
preserve
previously
tested
turbulent
channel
cases.
periodic
hill
2-D
Gaussian
bump
showcase
different
surface
curvatures
Reynolds
numbers.
Good
agreements
references
are
obtained
all
test
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(5)
Published: May 1, 2023
In
the
present
study,
a
priori
assessment
is
performed
on
ability
of
convolutional
neural
network
(CNN)
for
wall-modeling
in
large
eddy
simulation.
The
data
used
training
process
are
provided
by
direct
numerical
simulation
(DNS)
turbulent
channel
flow.
Initially,
study
carried
out
input
choices
CNN,
and
effect
different
flow
parameters
establishing
wall
model
investigated.
Then,
influence
wall-normal
distance
established
data-driven
studied
choosing
CNN
from
two
regions
inner
layer
(y+>10,y/δ<0.1)
logarithmic
layer.
performance
obtained
models
based
inputs
further
investigated
feeding
with
outside
range.
next
step,
tested
under
various
conditions,
including
grid
size
higher
Reynolds
number.
results
show
that
using
(excluding
y+≤10)
as
have
better
accuracy
compared
to
layer,
especially
when
implemented
After
optimizing
hyperparameters
high
correlation
coefficient
0.9324
achieved
between
shear
stress
calculated
filtered
DNS
predicted
best
model,
which
trained
excluding
y+≤10.
also
existing
wall-stress
models,
it
shown
has
model.
Additionally,
good
applied
or
Physical Review Fluids,
Journal Year:
2023,
Volume and Issue:
8(12)
Published: Dec. 21, 2023
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validation
and
verification
of
black
box
machine
learned
turbulence
models
is
time
consuming
not
always
fruitful.
We
discuss
a
theoretical
framework
that
allows
$a$
$p\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i$
screening
machine-learned
are
based
on
feed-forward
neural
networks.
It
requires
no
knowledge
the
weights
bias
only
activation
function.
The
method
tells
one
whether
model
preserves
basic
calibrations
like
law
wall.