Pw. Egolf, DIFFERENCE-QUOTIENT TURBULENCE MODEL - A GENERALIZATION OF PRANDT MIXING-LENGTH THEORY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1260-1268
A difference mean-velocity turbulence model to calculate quasistationa
ry fully developed turbulent motion is presented. It takes account of
the various eddy sizes in turbulent flows. As a consequence, some gaps
between semiempirical closure models and sophisticated theories, desc
ribing eddy energy cascades, are reduced. In a first-order expansion,
the model is identical to Prandtl's mixing-length theory, which is sti
ll contained in modern numerical computation schemes, e.g., k-epsilon
models.