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Sea Ice Modeling

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Sea ice modeling

Korina Kuhar
Modern physics
04/20/16

Content:

SEA ICE:
- introduction
- characteristics
- importance

Content:

SEA ICE:
- introduction
- characteristics
- importance

Content:

POLAR REGIONS

SEA ICE:
- introduction
- characteristics
- importance

Content:

POLAR REGIONS

WHY THE NEED FOR


MODELS

SEA ICE:
- introduction
- characteristics
- importance

Content:

POLAR REGIONS

WHY THE NEED FOR


MODELS
MODELING:
- physics behind the
models
- simple model

SEA ICE:
- introduction
- characteristics
- importance

Content:

WHY THE NEED FOR


MODELS
MODELING:
- physics behind the
models
- simple model

RESULTS
CONCLUSION
POLAR REGIONS

Introduction

frozen ocean water, grows and melts


in the ocean

Introduction

frozen ocean water, grows and melts


in the ocean

- found in remote polar oceans


- covers about 25 million km2 of the Earth (2.5 x area of Canada
or 15% of world's oceans)
- up to 3m thick

Characteristics
Sweet water freezes at 0C Ocean water freezes at around -1.8 C

Characteristics
Sweet water freezes at 0C Ocean water freezes at around -1.8 C

In deep ocean top 100-150 m needs to reach


freezing point for the ice to form

Salty,
dense,
cooler

Less salty,
less dense,
warmer

Importance

Source:
http://worldoceanreview.com/en/wor-1/climate-system/g
reat-ocean-currents/
(16/04/2016)

Source:
http://www.realclimate.org/index.php/archives/2015/03/whats-going-onin-the-north-atlantic/
(16/04/2016)

Structure

BRINE pockets between ice crystals saline


and liquid (ice around it is NOT salty!)
-over the time brine can dry out
- the older the ice, less
salty it is
- brine concentration affects
thickness

Brine
Source: All about sea ice
(16/04/2016)

POLAR REGIONS
Arctic

Antarctic

Geography

Semi enclosed ocean

Mainly land mass


surrounded by sea

Ice thickness

2-3 m (5m max)

1-2 m

Ice area

15 milion km2

18 milion km2

Ice are during warm


period

7 milion km2

3 milion km2

Trend, 1979-2008

decrease of 4.1%

increase of 0.9%

Arctic and Antarctic ice coverage

Source:
http://nsidc.org/cryosphere/seaice/ch
aracteristics/difference.html
(16/04/2016)

NEED FOR SEA ICE MODELS

Systematic measurements: only last ~40 years

Limited number of sensors

Lack of satellite coverage, bad weather

Predictions
Models for climate studies:
how sea ice evolves and how it will be affected by
changing climate

Model
(x,y)

(h)

Sea ice in cells (10 km2)


No variation in properties
within a cell

Group of cells: domain


Values of properties in
each cell change as the
time evolves

A cell is a stacked pile of


layers (12)
Properties do not vary
within a layer
Values of properties in
each cell change as the
time evolves

Time step: 1 day

Physics of sea ice

Source:
http://karelnovosti.ru/incidents/dvoe-zhitelej-karelii-provalili
s-v-avtomobile-pod-led/
(16/04/2016)

Atmosphere above and ocean below


BOUNDARY CONDITIONS
Processes: thermodynamics and dynamics

Physics of sea ice


4 GOVERNING EQUATIONS
DESCRIBING 4 PHYSICAL
PROPERTIES

Source:
http://karelnovosti.ru/incidents/dvoe-zhitelej-karelii-provalili
s-v-avtomobile-pod-led/
(16/04/2016)

Ice thickness distribution

Conservation of momentum

Conservation of enthalpy

Heat equation

Atmosphere above and ocean below


BOUNDARY CONDITIONS
Processes: thermodynamics and dynamics

THICKNESS:

Ice thickness distribution (ITD)

Internal stress(ridging)

(thermodynamic growth,f)

Reduction due to
lateral melting, L

g(x ,h , t)

THERMODYNAMICS:

Specific heat c
Density
Thermal conductivity k

Rate of change
from TD

Heat equation

Mechanical
redistribution
Conservation of enthalpy

DYNAMICS:

Wind

u
Stress tensor

Ocean
currents

Conservation of motion

Coriolis force
Sea surface
tilt

Simple algorithm flow


1) Solve sea ice momentum equation to
obtain velocity
2) Solve the heat equation for each layer
separately
3) Solve ITD equation, obtain updated g( x ,h , t )
4) Results obtained in 2 insert into enthalpy
distribution
5) Update the temperatures

Results

Simulated Antarctic sea ice thickness

Results, Arctic

Predictions, 2030

Source: http://www.atmos.washington.edu/~bitz/BitzCongressionalBrief_20Mar2013.pdf (19/04/2016)

Conclusion

Sea ice and ocean


(atmosphere): 2 way
street
Models: a long term
climate study
Model the past to
'predict' the future

Issues:
- anomalies
- missing parameters
- relevant/irrelevant
factors

THANKS FOR YOUR


ATTENTION!

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