Physics of Fluids,
Год журнала:
2024,
Номер
36(12)
Опубликована: Дек. 1, 2024
This
study
utilizes
physics-informed
neural
networks
(PINNs)
to
analyze
turbulent
flow
passing
over
fluid-saturated
porous
media.
The
fluid
dynamics
in
this
configuration
encompass
complex
features,
including
leakage,
channeling,
and
pulsation
at
the
pore-scale,
which
pose
challenges
for
detailed
characterization
using
conventional
modeling
experimental
approaches.
Our
PINN
model
integrates
(i)
implementation
of
domain
decomposition
regions
exhibiting
abrupt
changes,
(ii)
parameterization
Reynolds
number
model,
(iii)
Averaged
Navier–Stokes
(RANS)
k−ε
turbulence
within
framework.
method,
distinguishing
between
non-porous
regions,
enables
reconstruction
with
a
reduced
training
dataset
dependency.
Furthermore,
facilitates
inference
hidden
first
second-order
statistics
fields.
developed
approach
tackles
both
fields
(forward
problem)
prediction
(inverse
problem).
For
algorithm,
computational
(CFD)
data
based
on
RANS
are
deployed.
findings
indicate
that
parameterized
domain-decomposed
can
accurately
predict
while
requiring
fewer
internal
datasets.
forward
problem,
when
compared
CFD
results,
relative
L2
norm
errors
predictions
streamwise
velocity
kinetic
energy
5.44%
18.90%,
respectively.
inverse
predicted
magnitudes
low
high
numbers
shear
layer
region
show
absolute
differences
8.55%
4.39%
In
the
realm
of
experimental
fluid
mechanics,
accurately
reconstructing
high-resolution
flow
fields
is
notably
challenging
due
to
often
sparse
and
incomplete
data
across
time
space
domains.
This
exacerbated
by
limitations
current
tools
methods,
which
leave
critical
areas
without
measurable
data.
research
suggests
a
feasible
solution
this
problem
employing
an
inverse
physics-informed
neural
network
(PINN)
merge
available
with
physical
laws.
The
method's
efficacy
demonstrated
using
around
cylinder
as
case
study,
three
distinct
training
sets.
One
was
velocity
from
domain,
other
two
datasets
were
limited
obtained
domain
boundaries
sensors
wall.
coefficient
determination
(R2)
mean
squared
error
(RMSE)
metrics,
indicative
model
performance,
have
been
determined
for
components
all
models.
For
28
model,
R2
value
stands
at
0.996
associated
RMSE
0.0251
u
component,
while
v
registers
0.969,
accompanied
0.0169.
outcomes
indicate
that
method
can
successfully
recreate
actual
field
considerable
precision
more
than
cylinder,
highlighting
PINN's
potential
effective
assimilation
technique
mechanics.
Computational
fluid
dynamics
(CFD)
is
a
powerful
tool
for
modeling
turbulent
flow
and
commonly
used
urban
microclimate
simulations.
However,
traditional
CFD
methods
are
computationally
intensive,
requiring
substantial
hardware
resources
high-fidelity
Deep
learning
(DL)
models
becoming
popular
as
efficient
alternatives,
less
computational
to
model
complex
non-linear
interactions
in
A
major
drawback
of
DL
that
they
prone
error
accumulation
long-term
temporal
predictions,
often
compromising
their
accuracy
reliability.
To
address
this
shortcoming,
study
investigates
the
use
denoising
diffusion
probabilistic
(DDPM)
novel
post-processing
technique
mitigate
propagation
models'
sequential
predictions.
this,
we
employ
convolutional
autoencoder
(CAE)
U-Net
architectures
predict
airflow
around
cubic
structure.
The
DDPM
then
applied
model's
refining
reconstructed
fields
better
align
with
statistical
results
from
large-eddy
Results
demonstrate
that,
although
deep
provide
significant
advantages
over
numerical
solvers,
susceptible
predictions;
however,
utilizing
step
enhances
by
up
65%
while
maintaining
three
times
speedup
compared
solvers.
These
findings
highlight
potential
integrating
transformative
approach
improving
reliability
learning-based
simulations,
paving
way
more
scalable
modeling.
High
Reynolds
number
turbulent
flow
of
hypersonic
vehicles
exhibits
multi-scale
structures
and
non-equilibrium
high-frequency
characteristics,
presenting
a
significant
challenge
for
accurate
prediction.
A
deep
neural
network
integrated
with
attention
mechanism
as
reduced
order
model
is
proposed,
which
capable
capturing
spatiotemporal
characteristics
from
high-dimensional
numerical
data
directly.
The
leverages
encoder–decoder
architecture
where
the
encoder
captures
high-level
semantic
information
input
field,
Convolutional
Long
Short-Term
Memory
learns
low-dimensional
characteristic
evolution,
decoder
generates
pixel-level
multi-channel
field
information.
Additionally,
skip
connection
structure
introduced
at
decoding
stage
to
enhance
feature
fusion
while
incorporating
Dual-Attention-Block
that
automatically
adjusts
weights
capture
spatial
imbalances
in
turbulence
distribution.
Through
evaluating
time
generalization
ability,
effectively
evolution
characteristics.
It
enables
rapid
prediction
high
over
reasonable
accuracy
maintaining
excellent
computational
efficiency.
Flow
field
information
within
cascades
is
crucial
for
refined
turbomachinery
design.
Currently,
this
primarily
obtained
through
experimental
methods
or
numerical
simulations,
both
of
which
are
complex
and
time-consuming.
Data-driven
deep
learning
approaches
offer
a
potential
solution
rapid
flow
evaluation.
However,
existing
learning-based
prediction
models
exhibit
certain
limitations
in
accuracy
generalization,
particularly
regions
with
high
gradients,
often
the
primary
sources
aerodynamic
losses.
To
address
these
issues,
study
develops
high-precision
cascade
model,
A-FNO,
based
on
Galerkin-type
self-attention
mechanism
Fourier
Neural
Operator
(FNO).
A-FNO
designed
newly
proposed
FNO,
has
demonstrated
excellent
performance
solving
partial
differential
equations.
This
extends
its
application
to
problems.
mitigate
FNO
predicting
areas
steep
gradient
changes,
we
incorporate
capture
dependencies
between
different
field,
thereby
enhancing
FNO's
ability
express
details.
Experimental
results
demonstrate
that
significantly
improves
surrounding
boundary
layer.
The
maximum
relative
error
velocity
predictions
5%,
pressure
2%,
temperature
1%.
This
paper
realizes
the
application
of
physics-informed
neural
network
(PINN)
in
polymer
flooding
reservoir
model,
achieving
high-precision
calculations
water
saturation
and
concentration
distributions
a
one-dimensional
channel.
The
investigates
impacts
different
PINN
structures,
forms
governing
equations
used,
strength
artificial
viscosity
added
to
on
computational
performance
PINN,
especially
accuracy.
Three
numerical
examples
are
implemented
this
paper,
with
high-fidelity
solution
serving
as
benchmark.
results
show
that,
when
total
number
grid
parameters
is
similar,
PINN-1,
which
estimates
both
using
single
network,
exhibits
significantly
better
than
PINN-2,
two
separate
networks.
simplification
equation
for
can
improve
training
accuracy
PINN.
addition
enhance
improvement
effect
first
increases
then
decreases
coefficient
increases.
research
provides
reference
subsequent
development
high-accuracy
proxy
models
engineering.
Aerospace,
Год журнала:
2025,
Номер
12(5), С. 434 - 434
Опубликована: Май 13, 2025
Prediction
of
aircraft
aerodynamic
parameters
is
crucial
for
design,
yet
traditional
computational
fluid
dynamics
methods
remain
time-consuming
and
labor-intensive.
This
work
presents
a
novel
model,
the
image
state
information-based
attention-enhanced
physics-informed
neural
network
(ISA-PINN),
which
significantly
improves
prediction
accuracy.
Our
model
incorporates
following
innovations:
designed
attention
module
dynamically
extracts
hidden
features
from
pattern
data
while
selectively
focusing
on
relevant
dimensions
target
information.
Meanwhile,
image-information
fusion
combines
multi-scale
geometric
derived
images
to
enhance
overall
By
embedding
equations,
maintains
physical
consistency
enhancing
interpretability.
Extensive
experiments
validate
effectiveness
our
rapid
parameter
prediction,
achieving
significant
reduction
in
error
that
performance
by
29.25%
RMSE
37.99%
MRE
compared
existing
methods.
A
6.12%
increase
test
set
confirms
model’s
robust
generalization
ability.