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02.06.13: Result of averaging over 13 cycles

I noticed that for exp2_w4, I did not get a perfect PV balance between the component across PV contours and the dissipative term when I use two cycles (Fig. 1). I re-did the calculation using up to 13 different cycles (all 100 day long but separated by 15 days to explore different phase). With 13 cycles, the time rate of change is much weaker and we obtain a good balance between the component across PV contours and the dissipative term (Fig. 2).

Notice something important: The dissipative term is nearly the same in both calculations. This suggests that if we have access to this term, we could compute this term only over a couple of cycles to know the pattern and amplitude of dissipation.

../../../../../_images/PV_balance_2av.png

Figure 1: Lagrangian-mean PV balance obtained from two cycles.

../../../../../_images/PV_balance_13av.png

Figure 2: Lagrangian-mean PV balance obtained from thirteen cycles.


computed with theory_test_several_cycles_script.m which produces the Matlab file diag_VC_thirteen_cycles_100day_long_every15days_exp2_w4.mat, all in RESEARCH/MODELISATION/HIM/studies/diss_train_of_eddies/exp2/exp2_w4/analysis_1d on the main ipu1 disk.