We study quasisteady inverse cascades in unbounded and bounded two-dimensional turbulence driven by time-independent injection and dissipated by molecular viscosity. It is shown that an inverse… (More)

The test-field model is shown to be potentially nonrealizable in the presence of linear waves such as those frequently encountered in models of plasma and geophysical turbulence. A new statistical… (More)

The energy-Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Formal stability… (More)

Inertial-range scaling laws for twoand three-dimensional turbulence are re-examined within a unified framework. A new correction to Kolmogorov’s k scaling is derived for the energy inertial range. A… (More)

Algorithms are developed for calculating dealiased linear convolution sums without the expense of conventional zero-padding or phase-shift techniques. For one-dimensional in-place convolutions, the… (More)

A type of eddy-damped quasinormal Markovian (EDQNM) closure is shown to be potentially nonrealizable in the presence of linear wave phenomena. This statistical closure results from the application of… (More)

We study the dual cascade scenario for two-dimensional turbulence driven by a spectrally localized forcing applied over a finite wavenumber range [kmin, kmax] (with kmin > 0) such that the respective… (More)

A technique is described for constructing three-dimensional vector graphics representations of planar regions bounded by cubic Bézier curves, such as smooth glyphs. It relies on a novel algorithm for… (More)