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 …

We review studies of the statistics of isotropic turbulence in an incompressible fluid at high
Reynolds numbers using direct numerical simulation (DNS) from the viewpoint of …

We study the statistical properties of homogeneous and isotropic three-dimensional (3D)
turbulent flows. By introducing a novel way to make numerical investigations of Navier …

Helicity is the signature of parity breaking in incompressible fluid flows. For example, the
most general twopoint velocity correlation consistent with homogeneity and isotropy but not …

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg-
Landau theory is presented. The Abrikosov flux lattice solution is derived using an …

In this paper we establish sufficient conditions for locality of turbulent cascades, by an exact
analysis of the fluid equations. No assumptions of homogeneity or isotropy are invoked and …

To draw concrete pictures of the hierarchy of multiscale coherent vortices in turbulence
behind a cylinder and to reveal their sustaining mechanism, we conduct direct numerical …

We prove that interscale transfer of kinetic energy in compressible turbulence is dominated
by local interactions. In particular, our results preclude direct transfer of kinetic energy from …

We report an investigation of inverse energy cascade in steady-state two-dimensional
turbulence by direct numerical simulation (DNS) of the two-dimensional Navier–Stokes …

The conservative cascade of kinetic energy is established using both Fourier analysis and a
new exact physical-space flux relation in a simulated compressible turbulence. The subgrid …