Similarity constraints in decaying isotropic turbulence

The focus of this study is to analyze the self-similar scaling approach for decaying isotropic turbulence by comparing a Direct Numerical Simulation with theoretical results. Constraints on the similarity solution are used to show that the temporal evolution of the length scale set the exponent of decay, and a functional form for the dissipation scaling parameter is determined without any curve-fitting to the dissipation data. Collapse of the single time, two-point triple-correlations are shown, with the scaling parameter both differing from the classic analysis and being completely determined from the length scale and double-correlation scaling.