Observations on subsonic edge tones.

Jet drive mechanisms in edge tones and organ pipes

Measurements of the phases of free jet waves relative to an acoustic excitation, and of the pattern and time phase of the sound pressure produced by the same jet impinging on an edge, provide a consistent model for Stage I frequencies of edge tones and of an organ pipe with identical geometry. Both systems are explained entirely in terms of volume displacement of air by the jet. During edge-ton...

Catalan Pre-Nuclear Accents: Evidence for Word Edge Tones

The phonological interpretation of pre-nuclear rising accents in Catalan declaratives is examined within the Autosegmental-Metrical framework. Former studies have shown that pre-nuclear rises can neither be described as L*+H (the H is not located at a fixed distance from L* as expected in bitonality) nor as H* with peak delay (there is no correlation between syllable duration and location of th...

Subsonic Regions

Observations on Gabriel meshes and Delaunay edge flips

We undertake a study of the local properties of 2-Gabriel meshes: manifold triangle meshes each of whose faces has an open Euclidean diametric ball that contains no mesh vertices. We show that, under mild constraints on the dihedral angles, such meshes are Delaunay meshes: the open geodesic circumdisk of each face contains no mesh vertices. We detail the distinction between these two mesh struc...

On Two-Dimensional Sonic-Subsonic Flow

A compensated compactness framework is established for sonic-subsonic approximate solutions to the two-dimensional Euler equations for steady irrotational flows that may contain stagnation points. Only crude estimates are required for establishing compactness. It follows that the set of subsonic irrotational solutions to the Euler equations is compact; thus flows with sonic points over an obsta...