Математичне моделювання,
Journal Year:
2022,
Volume and Issue:
1(46), P. 32 - 43
Published: June 14, 2022
Досліджується
задача
поширення
хвиль
у
тришаровій
гідродинамічній
системі
«шар
з
твердим
дном
–
шар
кришкою».
Для
першого
наближення
отримано
дисперсійне
співвідношення
та
дві
пари
коренів.
Отримано
вирази
відношень
амплітуд
відхилень
поверхонь
контакту,
які
відповідають
кореням
дисперсійного
рівняння.
Залежності
від
різних
фізичних
параметрів
графічно
проілюстровані
проаналізовані.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(10)
Published: Oct. 1, 2023
Internal
solitary
waves
(ISWs)
often
seriously
threaten
the
survivability
of
underwater
submersible.
Most
existing
investigations
focus
on
interaction
between
ISWs
and
fixed
or
suspended
submersibles.
However,
investigation
self-propelled
submersibles
is
still
scarce,
which
a
more
realistic
case
in
marine
engineering.
In
this
paper,
three-dimensional
numerical
model
for
ISW
submersible
developed.
Based
extended
Korteweg–de
Vries
(eKdV)
theory,
generated
two-layer
fluid
wave
tank
by
solving
Navier–Stokes
(N–S)
equation.
By
introducing
hydrodynamic
loadings
provided
environment
into
standard
operation
equation
submersible,
six
degrees-of-freedom
motions
can
be
obtained.
The
dynamic
overset
mesh
technology
adopted
to
simulate
field.
present
validated
comparing
with
experiment
submerged
cylinder
environment.
Using
model,
we
compare
effects
fixed,
suspended,
discuss
influences
propulsive
forces
ISW–structure
effects.
results
show
that
movements
change
remarkably
surge,
heave,
pitch
direction.
Especially,
high
pierce
surface
reach
large
angle
amplitude
36°,
further
35%
motion
speed
decrease
initial
propulsion
Physics of Fluids,
Journal Year:
2024,
Volume and Issue:
36(3)
Published: March 1, 2024
In
contrast
to
the
extensive
research
on
propagation
evolution
of
internal
solitary
waves
(ISWs)
over
continental
shelf
topography,
few
investigations
have
been
conducted
ISWs
downslope
topography.
this
experiment,
characteristics
passing
a
topography
were
investigated
in
an
immiscible
two-layer
fluid
system
clearly
capture
waveform
information.
The
main
objective
study
was
analyze
with
different
incident
amplitudes
through
Using
particle
image
velocimetry
technique,
evolutionary
(such
as
waveform,
wave
height,
energy
budget,
and
flow
field)
are
investigated.
According
field
analysis
results,
phase
velocity
near
changes
ISWs.
Moreover,
gradient
distribution
progressively
becomes
perpendicular
right
surface
Furthermore,
counterclockwise
vortex
gradually
forms
at
upper
vertex
is
influenced
by
varying
water
depth
front
significantly
flat,
back
steeper
than
original
waveform.
Around
tail
wave,
upward
convex
packet
generated.
trends
height
losses
broadly
consistent.
loss
related
20%
higher
rate
for
large-amplitude
small-amplitude
inflection
point
Journal of Marine Science and Engineering,
Journal Year:
2022,
Volume and Issue:
10(8), P. 1045 - 1045
Published: July 29, 2022
An
experimental
investigation
of
the
vertical
structure
characteristics
internal
solitary
waves
(ISWs)
was
systematically
carried
out
in
a
large
gravitationally
stratified
fluid
flume.
Four
different
stratifications
were
established,
and
basic
elements
ISWs
measured
by
conductivity
probe
array.
The
distributions
amplitude,
characteristic
frequency
waveform
two
types
under
obtained,
results
compared
with
theoretical
model.
study
shows
that
most
structures
amplitude
agree
those
model,
while
there
are
some
deviations
for
amplitudes.
Neither
two-layer
model
nor
continuously
can
effectively
describe
variation
at
depths
amplitude.
For
single
small-amplitude
ISW,
first
increases
then
decreases
increasing
depth.
is
largest
depth
maximum
buoyancy
frequency.
an
ISW
relatively
likely
to
be
local
minimum
near
where
lies.
In
stratifications,
sech2
function
KdV
theory
waveforms
well.
Remote Sensing,
Journal Year:
2023,
Volume and Issue:
15(14), P. 3624 - 3624
Published: July 20, 2023
Two
internal
solitary
waves
(ISWs)
with
very
long
fronts
observed
by
synthetic
aperture
radar
(SAR)
images
in
the
northern
South
China
Sea
(NSCS)
are
comparatively
analyzed
based
on
oceanic
reanalysis
data
and
Korteweg–de
Vries
(KdV)
theory.
The
differences
environmental
parameters,
wave
half-width,
amplitude
of
two
ISW
distinct
environments
studied.
In
presence
a
weak
westward
surface
current
approximately
0.05
m/s,
values
linear
speed
increase
up
to
0.056
retrieved
amplitudes
decrease
14
m.
On
contrary,
for
another
background
environment
considering
relatively
strong
eastward
0.2
there
decreases
0.17
m/s
increases
32
m
amplitudes.
However,
results
from
both
SAR
observations
commonly
show
that
along
reach
their
maximums
at
roughly
21°N
toward
southern
sides,
spite
environments.
Physics of Fluids,
Journal Year:
2023,
Volume and Issue:
35(7)
Published: July 1, 2023
We
propose
a
system
of
first-order
balance
laws
that
describe
the
propagation
internal
solitary
waves
in
multilayer
stratified
shallow
water
with
non-hydrostatic
pressure
upper
and
lower
layers.
The
construction
this
model
is
based
on
use
additional
variables,
which
make
it
possible
to
approximate
Green–Naghdi-type
dispersive
equations
by
system.
In
Boussinesq
approximation,
governing
allow
one
simulate
non-linear
waves,
taking
into
account
fine
density
stratification,
weak
velocity
shear
layers,
uneven
topography.
obtain
smooth
steady-state
soliton-like
solutions
proposed
form
symmetric
non-symmetric
mode-2
adjoining
given
constant
flow.
Numerical
calculations
generation
large-amplitude
are
carried
out
using
both
equations.
It
established
these
models
practically
coincide.
advantage
simplicity
numerical
implementation
significant
reduction
calculation
time.
show
results
simulation
good
agreement
experimental
data
evolution
tanks
variable
height.
Journal of Marine Science and Engineering,
Journal Year:
2023,
Volume and Issue:
11(2), P. 355 - 355
Published: Feb. 5, 2023
This
paper
carried
out
laboratory
experiments
to
study
evolution
of
internal
solitary
waves
(ISWs)
over
submarine
canyons
with
a
combination
PIV
(particle
image
velocimetry)
and
PLIF
(planar
laser-induced
fluorescence)
techniques.
Taking
canyon
angle
θ
collapse
height
∆H
as
variables,
Froude
number
Fr,
head
position,
energy
loss,
vorticity
field
turbulence
intensity
when
ISWs
propagate
the
were
analyzed.
According
Fr
values,
cases
can
be
divided
into
three
types:
>
1.7
means
complete
hydraulic
jump
(IHJ);
1
<
denotes
wavy
IHJ
represents
no
IHJ.
The
greater
angle,
depth
amplitude
incident
wave
more
easily
generate
IHJs,
which
lead
in
area.
Among
all
cases,
case
showing
an
obvious
bimodal
distribution
are
smaller
than
cases.
For
IHJ,
dissipation
is
not
obvious,
average
turbulent
performs
“sharp
unimodal
distribution”.
Complete
last
for
long
time
cause
violent
mixing,
largest
its
presents
“gentle
single
peak”
pattern.
180°
conditions
(no
cases),
less
delivered
reflected
dissipated
near
terrain,
so
loss
comparison
other
conditions.
These
findings
will
deepen
our
understanding
mechanisms
propagating
canyons.