An examination of Kolmogorov's refined similarity hypotheses for active scalar in compressible turbulence

Using direct numerical simulations of isotropic compressible turbulence driven by large-scale solenoidal force (up to 10243 grid points), we examine the Kolmogorov’s refined similarity hypotheses (RSH) as applied to active scalar, i.e. temperature, with Prandtl number of order one. The three-dimensional compressible Navier-Stokes equations are...