Breakage models: lognormality and intermittency

Abstract

A breakage model for the statistical distribution of the dissipation rate is proposed: this model, B-model, is a modification of the Gurvich & Yaglom model (1967) taking the criticism of Mandelbrot (1974) into account. The B-model uses the beta distribution for the breakage coefficient in contrast to all other previously proposed models, and this positive correction agrees with a theoretical argument made in Yakhot etal. (1989). The B-model predicts the structure functions of velocity observed by Anselmet etal. (1984) remarkably well without an empirical fit to the data.