Pictures of the vorticity of 2D Navier-Stokes equations

turbulent vorticity

Computational data

• Navier-Stokes equations in 2D torus
• Reynolds number = 500.0, t = 4.0
• initial vorticity = -10[ cos y + cos(2y) + 5 cos(2x) + 5 cos(2x+y) - 5cos(x-y) ]

Snapshopts st $ t=0.0, 1.2, 2.4, 4.0$.

See our paper " A computer-assisted analysis of the two dimensional Navier-Stokes equations, Springer Lecture Notes in Mathematics, vol. 1540 (1993), pp. 309--318.

The same situation with Reynolds number 100. Animation GIF file 737 KB