02.06.13: Wave field in all simulations run with 2 τ¶
Figure 1: Meridional component of the velocity field in layer 1 for exp19 (K=8e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 2: Meridional component of the velocity field in layer 2 for exp19 (K=8e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 3: Meridional component of the velocity field in layer 3 for exp19 (K=8e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 4: Meridional component of the velocity field in layer 1 for exp20 (K=4e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 5: Meridional component of the velocity field in layer 2 for exp20 (K=4e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 6: Meridional component of the velocity field in layer 3 for exp20 (K=4e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 7: Meridional component of the velocity field in layer 1 for exp21 (K=2e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 8: Meridional component of the velocity field in layer 2 for exp21 (K=2e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 9: Meridional component of the velocity field in layer 3 for exp21 (K=2e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 10: Meridional component of the velocity field in layer 1 for exp22 (K=1e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 11: Meridional component of the velocity field in layer 2 for exp22 (K=1e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 12: Meridional component of the velocity field in layer 3 for exp22 (K=1e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 13: Meridional component of the velocity field in layer 1 for exp23 (K=0.5e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 14: Meridional component of the velocity field in layer 2 for exp23 (K=0.5e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 15: Meridional component of the velocity field in layer 3 for exp23 (K=0.5e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 16: Meridional component of the velocity field in layer 1 for exp24 (K=0.25e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 17: Meridional component of the velocity field in layer 2 for exp24 (K=0.25e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figure 18: Meridional component of the velocity field in layer 3 for exp24 (K=0.25e3 m2/s): (left) time series along 30°N and (right) snapshot on day 2000.
Figs. 19 and 20 show a snapshot of the balance of terms in dqdt in exp20 (K=4e3 m2/s) and exp24 (K=25e3 m2/s) to see if the wave is mostly a long or short Rossby wave. We see that, for exp20, the stretching term (panel a) is dominant although the time rate of change of relative vorticity is not negligible (panel b) suggesting that the wave is mostly a long Rossby wave in that simulation. Haidvogel and Rhines (1983) also describe the wave field as being composed of long Rossby waves in their case. For exp24, however, the time rate of change of relative vorticity is as large, if not larger, than the stretching term. This suggests that lowering K may make the Rossby wave less and less long.
Figure 19: Instantaneous map of the terms composing dqdt, where q is PV, in exp20.
Figure 20: Instantaneous map of the terms composing dqdt, where q is PV, in exp24.
Figs. 21 and 22 show a snapshot of the terms in the PV balance for exp20 and exp24. First, the nonlinear term is as strong as the other terms. Second, the dissipative term plays only a role around the forcing area and along the western boundary and it may be considered negligible in exp24.
Figure 21: Instantaneous map of the terms in the PV balance in exp20.
Figure 22: Instantaneous map of the terms in the PV balance in exp24.
Figs. 19 to 22 were done with PV_test_fixed_point_script.m in RESEARCH/MODELISATION/HIM/studies/PV_and_dissipation/forced_damped_wave/exp20 and RESEARCH/MODELISATION/HIM/studies/PV_and_dissipation/forced_damped_wave/exp24 on the main disk on ipu1.