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

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

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

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

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

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