Figure 1: Initial conditions of CNTL from west to east in the middle of Domain 1. PV anomalies (blue thin lines, ci=0.1PVU, negative value dashed), meridional winds (ci=2.5m/s) green thin lines, negative value dashed), 1.5PVU potential vorticity (brown thick line) and potential temperatures (red thin lines, ci=6K). The distance between tick marks is 1000 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 2: Initial conditions for 10 experiments. Vertical cross section of initial potential temperature (thin line, ci = 6 K) and zonal velocity (thick line, ci = 10 m s−1) for the initial basic-state jet. The gray thick line denotes the location of the tropopause where potential vorticity equals 1.5 PVU. )

 

 

Figure 3: Vertical velocities adapted from Fig. 6 in Z04. CNTL simulated potential temperature (thick line, ci = 5 K) and vertical velocity (solid, positive; dashed, negative; ci=  ; values  shaded) at the 13-km level valid at (a) 102 and (b) 108 h, and along the cross section AB valid at (c) 102 and (d) 108 h. The straight line AB in (a) and (b) denotes the location of the cross section in (c) and (d). Contours of potential temperature greater than 340 K are generally flat but dense in the stratosphere and were thus not plotted in (c) and (d). The distance between tick marks in (a) and (b) is 100 km.

 

 

 

 

 

 

Figure 4: CNTL simulated 8-km pressure (thick line, ci = 4 hPa), the residual of the nonlinear balance equation (shaded, solid, positive; dashed, negative; ci= ), and wind speed over 40m/s (bold contours, ci=5m/s) valid at (a) 78, (b) 84, (c) 90, (d) 96, (e) 102, and (f) 108 h The straight line DE denotes the location of the cross section plotted in Fig. 11 . The distance between tick marks is 300 km. Adapted from Fig. 9 in Z04.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 5: Potential temperature (ci = 5K),  vector and geopotential  (ci = 1000 m2s-2) at 7km. Adapted from RSS94 Fig. 13.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 6: CNTL simulated Flow pattern at 6km at 90h(a), 96h(b), 102h(c), 108h(d). Pressure (dashed lines, ci = 6hPa), potential temperature   (red solid lines, ci=5K), 1.5 PVU (brown thick lines) and wind speed (black lines, ci=5m/s starts at 40m/s). The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 7: CNTL simulated flow imbalanced flow at 6km at 90h(a), 96h(b), 102h(c) and 108h(d). Imbalance  (shaded, solid, positive; dashed, negative; ci=) ,  (red solid lines, ci=5K), vertical velocity(blue thin lines, solid, positive; dashed, negative; ci=0.5cm/s in (a), ci=1.0cm/s in (b), ci=1.5cm/s in (c), ci=2cm/s in (d)); and 1.5PVU (brown thick lines). The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 8: Imbalance on tropopause denoted by 1.5PVU plane.  (shaded, solid, positive; dashed, negative; ci=) and geopotential (blue solid lines, ci=800m). The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 9: Surface features for all the five cases.  Potential temperature  (red thin lines, ci=8K) and sea level pressure (Blue thin lines, ci = 6 hPa). Green boxes denote the area in Fig. 15-18. The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 10: Upper level jet. Isotachs (values greater than 35/ms light shaded, dark shaede regions are values great than 55m/s for a-h, 65/ms for i, j), wind vector, geopotential (thick lines, ci=100m) and ( (thin lines, ci=5k) on 300 hPa. The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 11: Divergence pattern 9-12 hours before gravity waves are plotted in Fig. 15. Divergence (thin line; solid and shaded, positive; dashed, negative; ci = 2 × 10−6 s−1), pressure (thick line, ci = 2 hPa) and wind vectors. The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 12: Divergence pattern at times gravity waves are displayed in Fig. 15. Divergence (thin line; solid and shaded, positive; dashed, negative; ci = 2 × 10−6 s−1), pressure (thick line, ci = 2 hPa) and wind vectors. The distance between tick marks is 300 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 13: (a) Time series of MSLP (minimum sea level pressure) in Domain 2 for 10 experiments. (b) Minimum perturbation pressure for the cyclone in Domain1 (hPa).

 

 

 

 

 

 

Figure 14: Growth rates in terms of perturbation pressure for five experiments. Stars indicate the timing for each case in Fig. 20. Big circles indicate the timing GWs are shown in Fig. 15.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 15: Vertical velocities (solid, positive; dashed, negative; ci =  ; values  shaded) and  (blue thick line, ci = 5 K) on 13km in Domain 3. Timing of plots is the same as in Fig. 12. The area is indicated by green box in Fig. 9-12. The distance between tick marks is 100 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 16: Vertical velocities (solid, positive; dashed, negative; ci =  ; values  shaded) and  (red thick line, ci = 5 K) along cross sections indicated in Fig. 15

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 17: Perturbation vertical velocities  (solid, positive; dashed, negative; ci=  ; values  shaded) and  (blue thick line, ci = 5 K) on 13km. The distance between tick marks is 100 km.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figure 18: Perturbation vertical velocities  (solid, positive; dashed, negative; ci= ) and  (thick lines, ci = 5 K) along cross sections indicated in Fig. 15

 

 

 

 

 

 

 

 

 

Figure 19:  Response function (15) for the filter used in Figure 17 18 and 21.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

&nbs