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02.12.13: LPV analysis of exp2_l

In this note, I show results of several simulations, some with or without sponges. One of them (exp2_l) in particular has zero dissipation in the middle layer and is configured with a sponge layer. This simulation was run with a weaker wind run than in recent simulations (MAG=100 instead of MAG=500 and 1000). The first diagnostic of this simulation shows that, at least in the middle layer, the Eulerian-mean flow stabilizes after about day 2000 (lower panels of Fig. 1).

I show here the Eulerian-mean flow, the Lagrangian-mean flow and the LPV analysis for two different periods: around day 2000 (average over two cycles starting at day 2015 and 2065) and around day 4200 (average over two cycles starting at day 4215 and 4265).

Conclusions are:

  1. The LPV analysis works well (outside the sponge layer at least). Note that there is no panel for the dissipative term; it is exactly zero here in this case (because it depends on KH which is set to zero).
  2. There is not much difference between the two periods of analysis.
  3. Because the time rate of change of QL is not zero, we do not have zero VL to be zero and we may need to perform the analysis over many more cycles in order to cancel the time rate of change.
../../../../../_images/UE_VE_UL_VL_day2015_day_2065_exp2_l.png

Figure 1: Eulerian- and Lagrangian-mean flow around day 2000 (average over two cycles starting at day 2015 and 2065) in the middle layer for exp2_l.

../../../../../_images/UE_VE_UL_VL_day4215_day_4265_exp2_l.png

Figure 2: Same as in Fig. 1 but around day 4200 (average over two cycles starting at day 4215 and 4265).

../../../../../_images/LPV_analysis_day2015_day_2065_exp2_l.png

Figure 3: LPV analysis around day 2000 (average over two cycles starting at day 2015 and 2065) in the middle layer for exp2_l.

../../../../../_images/LPV_analysis_day4215_day_4265_exp2_l.png

Figure 4: Same as in Fig. 3 but around day 4200 (average over two cycles starting at day 4215 and 4265).


Computed with theory_test_several_cycles_script.m in RESEARCH/MODELISATION/HIM/studies/diss_train_of_eddies/exp2/exp2_l/analysis_1d on the main disk on ipu1. The Matlab files are diag_VC_two_cycles_100day_long_day2015_day2065_exp2_l.mat and diag_VC_two_cycles_100day_long_day4215_day4265_exp2_l.mat in that same directory.