A Numerical Study of Inviscid Helical Turbulence

抄録

Since helicity was found to be time-invariant in inviscid flows, equilibrium states of inviscid, incompressible, homogeneous turbulence have obtained a much variety in the form of energy spectrum, etc. In fact, the energy equipartition does not coexist with non-zero helicity. In this paper, a simple numerical investigation to clarify this fact is presented. The time-evolution of three-dimensional random flow velocity fields, with truncated wave components and initially set with some net helicity, is pursued in a computer until the spectrums of velocity variance, helicity, etc. reach a steady state in a certain coarse-graining sense. The results evidently support the known theory.