10.21.10: Lagrangian mean quantities for the two suites of numerical experiments¶
I present here the various components of the Lagrangian-mean PV equation in terms of a velocity for the two suites of numerical experiments. The experiments are presented in Tabs. 1 and 2 and their respective plots in Figs. 1 to 15.
The first suite has a unitless amplitude of 500 (Tab. 1), the second of 1000 (Tab. 2).
| Laplacian viscosity (m2/s) | Forcing amplitude (unitless) | Baroclinic time step | |
|---|---|---|---|
| exp18 | 8000 | 500 | 1200 s |
| exp17 | 4000 | 500 | 1200 s |
| exp16 | 2000 | 500 | 1200 s |
| exp15 | 1000 | 500 | 1200 s |
| exp2_w | 500 | 500 | 1200 s |
| exp2_w3 | 250 | 500 | 1200 s |
| exp2_w4 | 100 | 500 | 1200 s |
| exp2_w5 | 50 | 500 | 1200 s |
** Table 1:** Parameters of the first suite of experiments.
| Laplacian viscosity (m2/s) | Forcing amplitude (unitless) | Baroclinic time step | |
|---|---|---|---|
| exp19 | 8000 | 1000 | 1200 s |
| exp20 | 4000 | 1000 | 1200 s |
| exp21 | 2000 | 1000 | 1200 s |
| exp22 | 1000 | 1000 | 800 s |
| exp23 | 500 | 1000 | 800 s |
| exp24 | 250 | 1000 | 800 s |
| exp25 | 100 | 1000 | 800 s |
** Table 2:** Parameters of the second suite of experiments.
exp18¶
Figure 1: (a): Time rate of change the Lagrangian-mean PV.(b): Lagrangian mean velocity across the Lagrangian-mean PV contours. (c); Sum of (a) and (b). (d): Lagrangian-mean velocity across mean PV contours deduced from the change of PV following water parcels. (e) Lagrangian-mean velocity across mean PV contours deduced from dissipation along parcel trajectories. All quantities have been computed for the days 2125-2225.
exp17¶
Figure 2: Same as Fig. 1 but for exp17.
exp16¶
Figure 3: Same as Fig. 1 but for exp16.
exp15¶
Figure 4: Same as Fig. 1 but for exp15.
exp2_w¶
Figure 5: Same as Fig. 1 but for exp2_w.
exp2_w3¶
Figure 6: Same as Fig. 1 but for exp2_w3.
exp2_w4¶
Figure 7: Same as Fig. 1 but for exp2_w4.
exp2_w5¶
Figure 8: Same as Fig. 1 but for exp2_w5.
exp19¶
Figure 9: Same as Fig. 1 but for exp19.
exp20¶
Figure 10: Same as Fig. 1 but for exp20.
exp21¶
Figure 11: Same as Fig. 1 but for exp21.
exp22¶
Figure 12: Same as Fig. 1 but for exp22.
exp23¶
Figure 13: Same as Fig. 1 but for exp23.
exp24¶
Figure 14: Same as Fig. 1 but for exp24.
exp25¶
Figure 15: Same as Fig. 1 but for exp25.
computed with theory_test_script.m in the respective directories of RESEARCH/MODELISATION/HIM/studies/diss_train_of_eddies/exp2/*/analysis_1d/ and RESEARCH/MODELISATION/HIM/studies/PV_and_dissipation/forced_damped_wave/. The matlab routine to produce Fig. 2 is plot_synthesis_transport_vs_diss in RESEARCH/MODELISATION/HIM/studies/PV_and_dissipation/forced_damped_wave/exp15.