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Next: The Wave Period and Up: Interfacial Standing Wave Simulations Previous: Standing Wave Initialisation

Standing Wave Simulations

A velocity map and the position of the interface, seen through the value of the order parameter, is shown at times tex2html_wrap_inline16077 , i=1, 2, ..., 7 in figures 7-2 - 7-15 for a typical interfacial wave on a 256 by 256 grid with

   figure5938
Figure 7-2: Velocity vector plot at tex2html_wrap_inline12187 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure5949
Figure 7-3: The order parameter at tex2html_wrap_inline12187 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure5960
Figure 7-4: Velocity vector plot at tex2html_wrap_inline12203 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure5971
Figure 7-5: The order parameter at tex2html_wrap_inline12203 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure5982
Figure 7-6: Velocity vector plot at tex2html_wrap_inline12219 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure5993
Figure 7-7: The order parameter at tex2html_wrap_inline12219 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure6004
Figure 7-8: Velocity vector plot at tex2html_wrap_inline12235 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure6015
Figure 7-9: The order parameter at tex2html_wrap_inline12235 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure6026
Figure 7-10: Velocity vector plot at tex2html_wrap_inline12251 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure6037
Figure 7-11: The order parameter at tex2html_wrap_inline12251 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure6048
Figure 7-12: Velocity vector plot at tex2html_wrap_inline12267 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure6059
Figure 7-13: The order parameter at tex2html_wrap_inline12267 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

   figure6070
Figure 7-14: Velocity vector plot at tex2html_wrap_inline12283 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 .

   figure6081
Figure 7-15: The order parameter at tex2html_wrap_inline12283 of an interfacial standing wave on a 256 by 256 grid with tex2html_wrap_inline12189 , tex2html_wrap_inline12191 and tex2html_wrap_inline12193 . Only halve the grid, centred on the interface, is shown.

tex2html_wrap_inline12189 , tex2html_wrap_inline12315 , tex2html_wrap_inline12417 , tex2html_wrap_inline12323 and tex2html_wrap_inline12193 . The interface is seen to be sharp since the interfacial energy tex2html_wrap_inline12095 is set to 0.001. Comparing, for example, the velocity and interface at tex2html_wrap_inline12187 , figures 7-2 and 7-3, with those at tex2html_wrap_inline12283 , figures 7-14 and 7-15, it is obvious that the wave is being damped at a considerable rate. The wave velocities, the wave frequency and the damping rate will be examined in more detail in the rest of this chapter.


next up previous contents
Next: The Wave Period and Up: Interfacial Standing Wave Simulations Previous: Standing Wave Initialisation

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