We consider three-dimensional turbulence from which vortex stretching is removed. Using direct numerical simulations, we show that in this system a dual cascade is observed, consisting of a forward enstrophy cascade and an inverse helicity cascade. In the inverse cascade range the energy spectrum scaling is proportional to $k^{-7/3}$, with $k$ being the wave number. In the forward cascade range the spectrum is proportional to $k^{-3}$ with a logarithmic correction.

• Received 16 November 2021
• Accepted 12 August 2022

DOI:https://doi.org/10.1103/PhysRevFluids.7.094601