Multiscale three-point velocity increment correlation in turbulent flows

The three-point velocity increment correlation function is proposed to represent the multiscale correlations in turbulent flows. The inertial–inertial correlation and the inertial–dissipative correlation are discussed due to their endogenetic properties in turbulence and their roles in large-eddy simulation. The zero-correlation points are then emphasized as equilibrium points between them. The credibility of this theoretical result is numerically verified in both isotropic and anisotropic flows. Results imply the universality of this zero-correlation scaling in different turbulent flows. This work is expected to be a dependable theoretical base for creating multiscale subgrid models in large-eddy simulation.