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Table 4

Volume- and time-averaged inner products, for each run, of vorticity with the vorticity source terms introduced in Eqs. (17) and (18): baroclinic (), advective (), compressive (), galaxy shear and rotation (), and stretching (); and with vorticity and velocity (helicity).

ω
[ωrms3] [ωrms3] [ωrms3] [ωrms3] [ωrms3] [ωrms2] [ωrmsu′rms] [ωrmsu′rms]
4Ωp 2.61 ± 2.16 –0.39 ± 0.34 –0.84 ± 0.73 –10−2.9 ± 10−2.3 –0.96 ± 0.64 0.98 ± 0.48 –0.08 ± 0.10 0.06 ± 0.11
2Ωp 2.61 ± 1.95 –0.36 ± 0.31 –0.87 ± 0.77 –10−3.3 ± 10−2.7 –0.94 ± 0.67 1.11 ± 0.73 –0.06 ± 0.11 0.03 ± 0.13
1Ωp 3.00 ± 2.48 –0.41 ± 0.38 –0.95 ± 0.94 10−3.7 ± 10−2.9 –1.12 ± 0.87 1.20 ± 0.84 –0.01 ± 0.07 0.02 ± 0.10
0Ω0 3.33 ± 2.32 –0.46 ± 0.36 –0.97 ± 0.74 –1.14 ± 0.72 1.18 ± 0.60 0.01 ± 0.04 –0.01 ± 0.06
1Ωn 1.50 ± 0.88 –0.27 ± 0.19 –0.64 ± 0.43 10−3.7 ± 10−3.2 –0.66 ± 0.33 1.18 ± 0.47 0.03 ± 0.06 –0.02 ± 0.06
2Ωn 1.27 ± 0.72 –0.19 ± 0.13 –0.55 ± 0.40 –10−4.6 ± 10−3.1 –0.55 ± 0.28 1.20 ± 0.56 0.05 ± 0.08 –0.03 ± 0.07
4Ωn 1.52 ± 1.06 –0.21 ± 0.16 –0.58 ± 0.53 10−3.5 ± 10−2.7 –0.54 ± 0.34 1.03 ± 0.58 0.11 ± 0.13 –0.12 ± 0.18

Notes. The standard deviation in time is indicated. Positive (negative) source terms are indicative of vorticity generation (reduction). Helicity is averaged north (south) of the midplane. Normalisation is given in factors of time-averaged rms turbulent velocity and vorticity for each run.

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