To investigate the isotropy of the model a bubble of fluid with was initialised inside a fluid with = 0.5. The fluid density was . This was done on a 64 by 64 grid and the radius of the circle was 13 lu. The lattice was then allowed to evolved for 10,000 time-steps and the centre of mass of the bubble found. Figure 4-7
Figure 4-7: The value of at all points on the grid
as a function of the points distance from the centre of mass of the
bubble
.
Results are shown for
= 0.1 and 0.2, the results for = 0.2 are displaced
by ten lu with respect to the results for
shows the value of of each point on the grid plotted against the distance of the point from the centre of mass. The results lie on, or very close to, a single curve for each value of showing that the model is, at worst, very close in isotropic. These results agree with similar results obtained elsewhere for the model [38]. It can also be seen from figure 4-7 that the interface is larger for than it is for . Figure 4-8 also
Figure 4-8: Contour plot of when
shows the approximate isotropy of the model when . A contour plot of shows contours which are very close to circular. There is no evidence of a departure from isotropy or of the underlying hexagonal grid.