Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

In three-dimensional hydrodynamic turbulence forced at large length scales, a constant
energy flux Π u flows from large scales to intermediate scales, and then to small scales. It is …

These notes originated from a series of lectures given at Waseda University in April–May
2021, supported by Top Global University Project of Waseda University. The first author …

Coherent structures/motions in turbulence inherently give rise to intermittent signals with
sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting the …

It is known that rapidly rotating turbulent flows are characterized by the emergence of
simultaneous upscale and downscale energy transfer. Indeed, both numerics and …

The properties of rotating turbulence driven by precession are studied using direct numerical
simulations and analysis of the underlying dynamical processes in Fourier space. The study …

We numerically explore the two-dimensional, incompressible, isothermal flow through a
wavy channel, with a focus on how the channel geometry affects the routes to chaos at …

In nature, turbulent flows exist that are neither simply 2D nor 3D but are forced towards one
state or the other by boundary conditions such as varying stratification. Here, we report the …

By using direct numerical simulations of up to a resolution of 512× 512× 32 768 grid points
we discover the existence of a metastable out-of-equilibrium state in rotating turbulence. We …

Helical rotating turbulence is a chiral and anisotropic flow. The energy and helicity transfers
of helical rotating turbulence are studied in this paper. First, we discuss the antisymmetry …