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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

../../../../../_images/theory_test_exp18_d2125_2225.png

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

../../../../../_images/theory_test_exp17_d2125_2225.png

Figure 2: Same as Fig. 1 but for exp17.

exp16

../../../../../_images/theory_test_exp16_d2125_2225.png

Figure 3: Same as Fig. 1 but for exp16.

exp15

../../../../../_images/theory_test_exp15_d2125_2225.png

Figure 4: Same as Fig. 1 but for exp15.

exp2_w

../../../../../_images/theory_test_exp2_w_d2125_2225.png

Figure 5: Same as Fig. 1 but for exp2_w.

exp2_w3

../../../../../_images/theory_test_exp2_w3_d2125_2225.png

Figure 6: Same as Fig. 1 but for exp2_w3.

exp2_w4

../../../../../_images/theory_test_exp2_w4_d2125_2225.png

Figure 7: Same as Fig. 1 but for exp2_w4.

exp2_w5

../../../../../_images/theory_test_exp2_w5_d2125_2225.png

Figure 8: Same as Fig. 1 but for exp2_w5.

exp19

../../../../../_images/theory_test_exp19_d2125_2225.png

Figure 9: Same as Fig. 1 but for exp19.

exp20

../../../../../_images/theory_test_exp20_d2125_2225.png

Figure 10: Same as Fig. 1 but for exp20.

exp21

../../../../../_images/theory_test_exp21_d2125_2225.png

Figure 11: Same as Fig. 1 but for exp21.

exp22

../../../../../_images/theory_test_exp22_d2125_2225.png

Figure 12: Same as Fig. 1 but for exp22.

exp23

../../../../../_images/theory_test_exp23_d2125_2225.png

Figure 13: Same as Fig. 1 but for exp23.

exp24

../../../../../_images/theory_test_exp24_d2125_2225.png

Figure 14: Same as Fig. 1 but for exp24.

exp25

../../../../../_images/theory_test_exp25_d2125_2225.png

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.