map of measurement polygon in vistula lagoon and the baltic sea coastal zone
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International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Map of measurement polygon in Vistula Lagoon and the Baltic sea coastal zone
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Tack 19
Tacks 21/23
Tacks 25/27
Tacks 30/32/35/37
0.00 1.00 2.00 3.00 4.00D istance, km
4.40
4.80
5.20
5.60
6.00
Sal
inity
, psu
Tow ing across the fronta l zone o f the Ba ltic sea w ater in trusion in to the V istu la lagoon,13.08.00 S eacat probe.Tacks 19,21,23,25,27,30,32,35,37.
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0.0 2.0 4.0 6.0 8.0 10.0Дистанция вдоль разреза, км
Температура (оC), Вислинская лагуна, станции 318 - v36. 9.7.1997
-10.0
-5.0
0.0
Salinity, Vistula Lagoon. Stations 318 – v36. 09.07.1997
Temperature, Vistula Lagoon. Stations 318 – v36. 09.07.1997
Distance along tow line, km
Distance along tow line, km
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Typical view of a head of gravity current in laboratory flume (Anuchin&Gritsenko, 1985)
Current head structure, after Benjamin (1968) and Simpson (1982, 1986)
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
6 7 8 9 10 11 12 13 14 15 160
1
2
3
4
6 7 8 9 10 11 12 13 14 15 160
1
2
3
4
6 7 8 9 10 11 12 13 14 15 160
1
2
3
4
6 7 8 9 10 11 12 13 14 15 160
1
2
3
4
Simulated (XZ) current:
a) streamlines and density distribution
b) vorticity and density
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0
5
10
15
20
25
30
35
0
2
4
6
U0 H0 0
grid = 701 x 121x=0.05
Charachteristic scales of simulated current
U0 = 0.5 , 1.0 , 2.0 , 3.0 см/с
H0 = 0.5 , 1.0 , 2.0 , 3.0 см
0 = 0.0005 , 0.001 , 0.005 г/см3
= 0 , 1 , 5 , 10 , 15 , 20 0
Simulated current
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
U0 = 3.0 сm/s
H0 = 3.0 сm
0 = 0.001 g/сm3
= 10 0
Evolution of density field
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
0 5 10 15 20 25 30 350
2
4
6
U0 = 3.0 сm/s
H0 = 3.0 сm
0 = 0.001 g/сm3
= 10 0
Evolution of density field and stream function
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
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6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
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6
0 5 10 15 20 250
2
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0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
Evolution of density field
Slipping condition at the bottom
U0 = 3.0 сm/s
H0 = 3.0 сm
0 = 0.001 g/сm3
= 10 0
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
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6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
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0 5 10 15 20 250
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0 5 10 15 20 250
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0 5 10 15 20 250
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0 5 10 15 20 250
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0 5 10 15 20 250
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0 5 10 15 20 250
2
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0 5 10 15 20 250
2
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6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
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0 5 10 15 20 250
2
4
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0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
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0 5 10 15 20 250
2
4
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0 5 10 15 20 250
2
4
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0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
0 5 10 15 20 250
2
4
6
Evolution of density field and stream function
U0 = 3.0 сm/s
H0 = 3.0 сm
0 = 0.001 g/сm3
= 10 0
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Fine structure of frontal zone
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
Simulated (XZ) current:
a) horizontal density gradient (green region) and streamlines (blue)
b) Vertical density gradient (green region) and streamlines (blue)
Blue background of streamlines is visible through transparent area of density gradient distribution where the last is negligibly small
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
Simulated (XZ) current:
a) density gradient module (green region) and streamlines (blue)
b) density gradient along streamline (negative - green region, positive – pink)
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
Blue background of streamlines is visible through transparent area of density gradient distribution where the last is negligibly small
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Density distribution, stream lines and density gradient along streamline
1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 20
1
2
3
4
5
6
1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 20
1
2
3
4
5
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
Density distribution, stream lines and density gradient along streamline(green- negative,pink –positive)
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 20
1
2
3
4
5
6
1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 20
1
2
3
4
5
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
1 0 1 2 1 4 1 6 1 8 2 0 2 2 2 40
2
4
6
Density distribution, stream lines and velocity module (red lines)
Density distribution, and velocity module (red lines)
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
rot
10 20 300
2
4
6
bt
10 20 300246
y
y
y
y
r1 r2 r3 r40 0.3 0.6 0.9 1.2 1.5
0
2
4
6
8
10
y
y
y
y
u1 u2 u3 u40.5 0 0.5 1
0
2
4
6
y
y
y
y
w1 w2 w3 w40.2 0.1 0 0.1 0.2 0.3
0
2
4
6
Vertical profile of density, horizontal and vertical components in head part of gravity current
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Motion of front of gravity current along the slope
0
5
10
15
20
25
30
35
0
2
4
6
Xfront (t)
trt 0.1
t0 5 10 15 20 25 30 35
0
20
40
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
uj3
vteor
wteor
vt2
wt2
tj3
0 5 10 15 20 25 30 350.5
0.65
0.8
0.95
1.1
1.25
1.4
1.55
1.7
1.85
2
g 980 al 0.175
ha 3.ua 3.droa 0.001roa 1.
gs gdroa
roa gs 0.98
wteor .44 Ha gdroa
roa
1
2 wteor 1.546
vteor ua ha gdroa
roa sin al( )
1
3
vteor 0.863
Frua
gs haFr 1.05
Fralua
gs ha cos al( )Fral 1.058
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 5 10 15 20 25 30 350
2
4
6
Si = area{ i }, Si = Si (time)
s01i
s10i
s25i
s50i
s75i
s95i
tii
0 5 10 15 20 25 30 350
20
40
60
An increase in time of the square between iso-picnes (вовлечение)
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
d01j
d10j
d25j
d50j
d75j
d95j
tij
5 10 15 20 25 30 351
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
a01j
a10j
a25j
a50j
a75j
a95j
tij
5 10 15 20 25 30 350
0.5
1
1.5
2
Ratio of areas under iso-pycnsat following and at previous time steps
Rate of increase of areas under corresponding iso-pycns at following and at previous time steps
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
X
Y
U0 L0 0
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
Density and vorticity distributions on the blue background of streamlines
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 500 1000 1500 2000 2500 3000 3500 4000
D istance, m
18.7
18.8
18.9
19
19.1
19.2
19.3
19.4
19.5
Tem
pe
ratu
re, °
C
4 .5
4 .6
4.7
4.8
4.9
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
Sa
linity
, ‰
1001.9
1002
1002.1
1002.2
1002.3
1002.4
1002.5
1002.6
1002.7
1002.8
Den
sity
, kg
/m³
00au13, tow ing 21
0 500 1000 1500 2000 2500 3000 3500 4000
D istance, m
1001.9
1002
1002.1
1002.2
1002.3
1002.4
1002.5
1002.6
1002.7
1002.8
Den
sity
, kg/
m³
0
0 .025
0.05
0.075
0.1
0.125
0.15
0.175
0.2
Den
sity
gra
dein
t (ab
s. v
alue
), k
g/m
³/m
00au13, tow ing 21
0 500 1000 1500 2000 2500 3000 3500 4000
D istance, m
18.7
18.8
18.9
19
19.1
19.2
19.3
19.4
19.5
Tem
pe
ratu
re, °
C
0
0 .01
0.02
0.03
0.04
0.05
0.06
0.07
Te
mpe
ratu
re g
rad
ien
t (ab
s, v
alu
e),
°C/m
00au13, tow ing 21
Temperature, salinity and density profiles measured across the front of marine water intrusion into the fresh-water lagoon
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 500 1000 1500 2000 2500 3000
D istance, m
19
19.1
19.2
19.3
19.4
19.5
19.6
19.7
19.8
19.9
Tem
pera
ture
, °C
4 .4
4 .5
4.6
4.7
4.8
4.9
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
Sal
inity
, ‰
1001.7
1001.8
1001.9
1002
1002.1
1002.2
1002.3
1002.4
1002.5
1002.6
1002.7
1002.8
1002.9
1003
Den
sity
, kg/
m³
0 500 1000 1500 2000 2500 3000
D istance, m
1001.7
1001.8
1001.9
1002
1002.1
1002.2
1002.3
1002.4
1002.5
1002.6
1002.7
1002.8
1002.9
1003
De
nsity
, kg
/m³
0
0 .005
0.01
0.015
0.02
0.025
0.03
0.035
De
nsi
ty g
rad
ient
(a
bs.
va
lue
), k
g/m
³/m
0 500 1000 1500 2000 2500 3000
D istance, m
19
19.1
19.2
19.3
19.4
19.5
19.6
19.7
19.8
19.9
Tem
pe
ratu
re, °
C
0
0 .01
0.02
0.03
0.04
0.05
0.06
0.07
Te
mpe
ratu
re g
rad
ien
t (ab
s. v
alu
e),
°C/m
Temperature, salinity and density profilesmeasured across the front of marine water intrusion into the fresh-water lagoon
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
0 2 4 6 8 10 120
2
4
6
8
10
12
Upper panel: Velocity module distribution versus density iso-lines (blue – fresh water, gray – saline water)
Lower panel: derivative of density along streamline (blue – streamlines, red – iso-pycns)
International conference “Fluxes and Structures in Fluids” St.Petersburg, 22-27 June 2003
Gritsenko V.A., Chubarenko I.P. On a fine structure of fronral zone of sea water inflow into a lagoon
This work has been supported by INTAS project № 460
Mass transfer through submarine canyons
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