3.1 Numerical Procedure of the Contour Dynamics Model
< Summary of the theory (section 2.2) >
1.
The vorticity distribution is assumed to be
(3.1)
for regions Dj ( j=1,2, ... ,J ) ( Dj1Ç Dj2 = j
) on an infinite plane.
2.
The velocity at an arbitrary point on the plane is calculated
using the points x(j) on each contour Cj as
(3.2)
< Procedure to calculate the time evolution of the vorticity distribution >
1.
Calculate the velocities of the nodes { xi(j) }
on the contours by using (3.2):
(3.3)
2. Integrate (3.3) to know the positions of the contours at the next time t + Δt .
3. Repeat these processes to obtain the time evolution.