Abstract
The decay of helicity and its impact on kinetic energy is analyzed at very large Reynolds numbers in homogeneous isotropic turbulence lacking mirror symmetry, using the Eddy-Damped Quasi-Normal Markovian closure. A theoretical time decay exponent for helicity is derived and assessed numerically. In addition to the initial well-known slowing down of non-linear transfers, it is further shown that helicity slightly accelerates the decay of kinetic energy in Batchelor turbulence, because it decreases the \(k^4\) back transfers, which is proved analytically using non-local expansions. Finally, unlike the kinetic energy spectrum in Batchelor turbulence, the permanence of large eddies is verified for the helical spectrum.
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Briard, A., Gomez, T. (2019). Infrared Dynamics and Decay of Helicity in Homogeneous Isotropic Turbulence. In: Gorokhovski, M., Godeferd, F. (eds) Turbulent Cascades II. ERCOFTAC Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-12547-9_1
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DOI: https://doi.org/10.1007/978-3-030-12547-9_1
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