Showing papers by "William H. Matthaeus published in 1980"
TL;DR: In this article, the Navier-Stokes equation has been used for measurements of turbulent fluctuations only for three-dimensional flows, where enstrophy is cascaded to high wave numbers and dissipated at a finite rate even at infinite Re.
Abstract: Implications of certain applications of turbulence theory to two-dimensional turbulence and magnetohydrodynamic flow are discussed. It is shown that the use of the Navier-Stokes equation (NSE) for measurements of turbulent fluctuations has been effective only for three-dimensional flows. For two-dimensional flows, used for the study of large-scale motions in the atmosphere or ocean, enstrophy is cascaded to high wave numbers and dissipated at a finite rate even at infinite Re. MHD flows are numerically calculated for the two-dimensional case and analytically for the three-dimensional case, for which discrepancies in the relative rates of energy and cross helicity decay lead to a recommendation that numerical calculations for the three-dimensional case be carried out to determine the precise decayed states.
314 citations