A velocity map and the position of the interface, seen through the value of the order parameter, is shown at times , i=1, 2, ..., 7 in figures 7-2 - 7-15 for a typical interfacial wave on a 256 by 256 grid with
Figure 7-2: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-3: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-4: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-5: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-6: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-7: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-8: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-9: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-10: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-11: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-12: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-13: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
Figure 7-14: Velocity vector plot at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Figure 7-15: The order parameter at of an interfacial standing
wave
on a 256 by 256 grid with
, and .
Only halve the grid, centred
on the interface, is shown.
, , , and . The interface is seen to be sharp since the interfacial energy is set to 0.001. Comparing, for example, the velocity and interface at , figures 7-2 and 7-3, with those at , 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.