Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field

This paper proposes a new two-point closure model that is compatible with the Kolmogorov -5/3 power law for homogeneous isotropic turbulence in an incompressible fluid using the Lagrangian specification of the flow field. A closed set of three equations was derived from the Navier-Stokes equation with no adjustable free parameters. The Kolmogorov constant and the skewness of the longitudinal velocity derivative were evaluated to be 1.779 and -0.49, respectively, using the proposed model. The bottleneck effect was also reproduced in the near-dissipation range.