Numerical simulation: What...
Some numerical simulations in 1-d space which are also stable to the 2-d perturbation.
Transient variability of isothermal flow simulations. Forest et al, (2008). Six snap- shots of 1-d heterogeneous orientation tensor ellipsoids across the gap. The ellipsoids are color-coded in terms of the oblate defect metric, d1-d2, as indicated by the bar code. Dark red is the most highly ordered local phase, while dark blue is the partially disordered oblate phase.
Some numerical simulations in 2-d space.
Steady roll-cell simulation, Yang et.al (2008), the color represents the order parameter d_1-d_2, the arrows mean the secondary flow profile. Comparing the shear flow, the magnitude of the secondary flow are almost 1%
A Defect genesis: blow-up of two oblate cores superimposed with the 2-d projection of the principal axis of M, indicating -1 and +1 degree, respectivley. Yang et.al (2008)
Defects :+1 and -1/2. The -1/2 defect is located exactly in the center of the oblate defect core. +1 defect corresponds to the escape to the third dimension. Yang et.al (2008)