Pavlov and Pavlov: Features of Seasonal and Interannual Variability ofthe Sea Level
5
• gridded three-dimensional temperature and salinity fields averaged for the summer and
winter seasons(Polyakov and Timokhov, 1994).
• gridded three-dimensional temperature and salinity fields for the winter seasons from 1950
to 1990, averaged for the each 10 years within a this period (kindly provided by Prof. L.A.
Timokhov).
• gridded three-dimensional temperature and salinity fields for individual years, characterized
by the largest coverage of the Laptev Sea area.
• gridded bottom topography field of the Laptev Sea with a spatial interval of 14 km.
Monthly averaging of the pressure fields, sea level and sea water density at the coastal and
island stations was performed and mean climatic values of these parameters were obtained. Data
of direct current measurements were not used in the work due to their small amount and short
time scan(as a rule less than 1 month).
Method
For modeling the spatial-temporal variability of the surface level and water circulation of the
Laptev Sea a three-dimensional baroclinic model was used. The model is briefly described
below.
The model basic equations are the following equations written in the Bussinesque and
quasistatic approximations. Equations of motion:
a u
a u
a u
a u
_I a p a
a u a
a u a
au
--+u--+v--+w---fv=-p --+--A --+--A --+--A - -
at
ax
ay
az
0 ax az zaz ax Lax ay Lay
(I)
av
av
av
av
_ _ lap a
ava
ava
av
--+ u--+v--+w--+fu- -Po --+--Az--+--AL --+ --A - -
at
ax
ay
az
ay az
az ax
ax ay Lay
Equations of hydrostatics and continuity for non-compressible fluid:
dP
-a;= pg
(2)
~~+~~+~~=o
dx dy dZ
(3)
The above equations are written in the right-hand system of Cartesian coordinates (axis z -
directed downward from undisturbed surface) relative to the Northern Hemisphere.
ll, v, W - represent the components of the current speed vector on the axes x, y, z - respectively.
f= 1.4 104 - Coriolis parameter, P- pressure, P - water density,
A zA L _ coefficients of turbulent exchange by momentum.
Let us assume the following boundary conditions by the vertical coordinate. At sea surface:
z = /;(x,y, t)
(4)
5
• gridded three-dimensional temperature and salinity fields averaged for the summer and
winter seasons(Polyakov and Timokhov, 1994).
• gridded three-dimensional temperature and salinity fields for the winter seasons from 1950
to 1990, averaged for the each 10 years within a this period (kindly provided by Prof. L.A.
Timokhov).
• gridded three-dimensional temperature and salinity fields for individual years, characterized
by the largest coverage of the Laptev Sea area.
• gridded bottom topography field of the Laptev Sea with a spatial interval of 14 km.
Monthly averaging of the pressure fields, sea level and sea water density at the coastal and
island stations was performed and mean climatic values of these parameters were obtained. Data
of direct current measurements were not used in the work due to their small amount and short
time scan(as a rule less than 1 month).
Method
For modeling the spatial-temporal variability of the surface level and water circulation of the
Laptev Sea a three-dimensional baroclinic model was used. The model is briefly described
below.
The model basic equations are the following equations written in the Bussinesque and
quasistatic approximations. Equations of motion:
a u
a u
a u
a u
_I a p a
a u a
a u a
au
--+u--+v--+w---fv=-p --+--A --+--A --+--A - -
at
ax
ay
az
0 ax az zaz ax Lax ay Lay
(I)
av
av
av
av
_ _ lap a
ava
ava
av
--+ u--+v--+w--+fu- -Po --+--Az--+--AL --+ --A - -
at
ax
ay
az
ay az
az ax
ax ay Lay
Equations of hydrostatics and continuity for non-compressible fluid:
dP
-a;= pg
(2)
~~+~~+~~=o
dx dy dZ
(3)
The above equations are written in the right-hand system of Cartesian coordinates (axis z -
directed downward from undisturbed surface) relative to the Northern Hemisphere.
ll, v, W - represent the components of the current speed vector on the axes x, y, z - respectively.
f= 1.4 104 - Coriolis parameter, P- pressure, P - water density,
A zA L _ coefficients of turbulent exchange by momentum.
Let us assume the following boundary conditions by the vertical coordinate. At sea surface:
z = /;(x,y, t)
(4)