The turbulence in incompressible fluid is represented as a field theory in 3 dimensions.
There is no time involved, so this is intended to describe stationary limit of the Hopf …

This paper presents a recent advancement that transforms the problem of decaying
turbulence in the Navier–Stokes equations in 3+ 1 dimensions into a Number Theory …

This work expands the state-of-the-art computational fluid dynamics (CFD) methods for
simulating three-dimensional, turbulent, external flows by further develo** the immersed …

This paper investigates the recently found [1] reduction of decaying turbulence in the Navier-
Stokes equation in 3+ 1 dimensions to a Number Theory problem of finding the statistical …

We perform direct numerical simulation and large-eddy simulation of an initially spherical
region of turbulence evolving in free space. The computations are performed with a lattice …

This is the first paper in a cycle investigating the exact solution of the loop equation for
decaying unforced turbulence in three dimensions, which we have found in the previous …