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11.17.11: Relationship between Lagrangian mean velocity across mean PV contours and dissipation - Part 3ΒΆ

We have added two simulations to the plot of Fig. 2 of this note. The two simulations are similar to the other simulations shown in blue here except that they are run with DT=600s and DTBT=8s (blue stars; Fig. 1) instead of DT=1200s (blue squares and disk). We see that the results are nearly insensitive to that change.


Figure 1: (a): Lagrangian-mean dissipation versus Lagrangian-mean velocity due to change of Lagrangian-mean PV over a cycle plus Lagrangian-mean velocity across mean PV contours. (b): Lagrangian-mean dissipation versus its Laplacian coefficient. The suite of experiments in red has twice the amplitude of the suite of experiments in blue. The circle marker in both panels enable to see the correspondence between the two blue curves and two red curves of each panel. The blue stars symbols indicate simulation exp29 and exp30 that have been run with DT=600s and DTBT=8s. All other ‘blue’ simulations are run with DT=1200s. For the “red” suite, some are run with DT=1200s, other with DT=800 s (see the caption of Fig. 2 of this note to one which ones). The dashed line in a shows the one-to-one relationship between the transport and dissipation in the case of perfect stationarity.

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.