20
Land-Ocean Systems in the Siberian Arctic: Dynamics and History
here A, Band C - following matrixes:
Aj,j = fJFjFjdxdy
!l
If aF
Bj,j = Fj -a J dxdy
!l
x
ff aF
Cj,j = Fj i-dxdy
!l
y
Thus, after descretization of the domain, equations (1) can be rewritten:
(11)
(12)
Gradients a~, a~, aa P ' and aa P ' in equations (13) were obtained from (11),
oxoy x
y
This finite element formulation strongly differs from those suggested in (Connor and
Brebbia, 1979; Peyret and Taylor, 1986), It appeared to be more stable, and allowed the usage
of longer time steps (from Courant - Friedrichs - Lewy condition ~t=600sec),
Integration through time started from a state of zero displacement and motion, expressed by:
~(x,y;t)= 0, U(x,y;t)= V(x,y;t)= 0
(14)
For time integration a simple explicit scheme was applied,
Fields of atmospheric pressure on the sea surface (defined in points of regular geographic
grid with step ~

atmospheric pressure input is interpolated linearly in time between the daily specified values,
The wind velocity and direction are computed from:
(15)