Five
cases:
1)
Surface jet, around 72h, GWs propogate upward up to model top
2)
Surface jet, around 270h, GWs propogate only to 3~4 km
3)
Middle level jet, 84h, GWs propogate upward
4)
Middle level jet, 84h, GWs propogate downward
5)
Tropopause jet, around 198h, GWs propogate upward
In
each of these cases, I start thousands of rays initialized at 9-12 points
(mostly in jet-exit regions) but with different phase speed, different
orientation of wave vectors and different wavelengths. In the following plots,
only those rays at some points are shown.
Case 1 and Case 2
Horizontal plot of
divergence.
Horizontal plot (72h) of Case
1. The red numbers denote where ray are started at 0.2km.
Horizontal plot (270h) of Case
2.
This is the vertical cross
section along the line in the horizontal plot.
Vertical cross section for
Case 1 (72h).
Vertical cross section for
Case 2 (270h).
IÕll show how rays start from
point No.6 propagate upwards.
Plots of Rays starting from
No.6. Nine panels are
x-y, x-z, y-z,
lh-z,
lz-z, w-z,
t-z, u-z, v-z.
where, lh, lz and w are horizontal wavelength, vertical wavelength and
intrinsic frequency, respectively.
Rays
(from point No.6) for Case1.
Rays
(from point No.6) for Case2.
Difference
between Case1 and Case2:
á
More rays turn to left
in Case 2. ( x-z plots)
á
More rays can go up over
6km in Case 1. (x-z, lh-z plots)
á
Intrinsic frequency tend
to decrease faster to inertial frequency in Case 2. (w-z plots)
However,
Ray tracing does not show really much difference between these two cases. IÕm
still working on this and trying to see more plots.
Case
3 (upward propagating) and Case 4 (downward propagating).
Case3
Case4
Upgoing
rays and downgoing rays are almost symmetric. These are rays start at 9km.
Case3.
Case4.
Case
5.
Horizontal
plane.
Vertical
cross section.
Rays
started from points No. 3, 4 and 5 at the height of 9km. Those rays with
relatively shorter wavelength
can
propagate up to 13-14km. Most rays with relatively longer wavelength(>300km)
are trapped below 12.5km.
