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Simulation exp6: similar to exp4 but without SPLIT

Conclusion

For this particular regime and configuration (that involves, in particular, weak currents and weak parcel displacements), the SPLIT option make a difference with respect to the PV balance following parcels. In this simulation without the SPLIT option, the PV balance is achieved. It is conceivable that for much larger parcel displacement, the SPLIT option might not be play a role.

Results

Compare to the snapshots from exp4 (see Figs. 2 and 3 in the notes on exp4), the velocity field is slightly different (Figs. 1, 2 and 3).

../../../../../_images/exp6_snap_U_3layers.png

Figure 1: Snapshot of the zonal velocity field U in the three layers.

../../../../../_images/exp6_snap_V_3layers.png

Figure 2: Snapshot of the meridional velocity field V in the three layers.

As for exp4, the net PV change is satisfied (Fig. 3). Because the velocity field is slightly different compared to exp4, the trajectories are also different (Fig. 5) although in both cases, the parcels arrive at about the same location, consistent with the fact that the net PV change is the same for the two simulations. What is different is that in exp61, the PV balance is now satisfied for all time (Figs. 6 and 7).

../../../../../_images/exp4_exp6_U_V_ts_12_65E_22_53N.png

Figure 3: Time series of U and V at 12.65E and 22.53N in exp4 and exp6.

../../../../../_images/exp6_net_PV_change.png

Figure 4: Net PV change (during the wave cycle of days 550-630) using (a) PV output and (b) horizontal friction (HOR) output. The black dots show the initial position of 4 parcels, the trajectories and PV balance are show in Figs. 6 and 7. See analysis_1_script.m in RESEARCH/MODELISATION/HIM/studies/PV_and_dissipation/forced_damped_wave/exp4.

../../../../../_images/exp6_exp4_traj.png

Figure 5: Trajectories of the parcels shown in Fig. 4 in exp6 (black). The numbers at the top of each panel give the maximum zonal and meridional displacements of each parcel, numbers that can be compared to the zonal and meridional resolution in the simulation given in the middle. The trajectories in blue are from exp4.

../../../../../_images/exp6_exp4_PV_change_traj.png

Figure 6: PV balance of the 4 parcels of Figs. 4 and 5.

../../../../../_images/exp6_PV_change_traj_alllat_onelon.png

Figure 7: PV balance of parcels that started at 2.5301E and all latitudes of the domain.