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Isotropy

To investigate the isotropy of the model a bubble of fluid with tex2html_wrap_inline14943 was initialised inside a fluid with tex2html_wrap_inline12083 = 0.5. The fluid density was tex2html_wrap_inline14947 . 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 tex2html_wrap_inline14949 of the bubble found. Figure 4-7

   figure4373
Figure 4-7: The value of tex2html_wrap_inline12083 at all points on the grid as a function of the points distance from the centre of mass of the bubble tex2html_wrap_inline14953 . Results are shown for tex2html_wrap_inline12095 = 0.1 and 0.2, the results for tex2html_wrap_inline12095 = 0.2 are displaced by ten lu with respect to the results for tex2html_wrap_inline12111

shows the value of tex2html_wrap_inline12083 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 tex2html_wrap_inline12095 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 tex2html_wrap_inline14965 than it is for tex2html_wrap_inline12111 . Figure 4-8 also

   figure4388
Figure 4-8: Contour plot of tex2html_wrap_inline12083 when tex2html_wrap_inline12111

shows the approximate isotropy of the model when tex2html_wrap_inline12111 . A contour plot of tex2html_wrap_inline12083 shows contours which are very close to circular. There is no evidence of a departure from isotropy or of the underlying hexagonal grid.



James Buick
Tue Mar 17 17:29:36 GMT 1998