Internal Wave Generation in Uniformly Stratified Fluids. 1 ... - LEGI

Internal wave generation. 1. Green’s function 58
Figure 9. Points of contact T + and T – of the uppermost and lowermost tangents from a
point r to the sphere.
Figure 10. Boussinesq internal wave field of a monochromatically pulsating sphere. Waves
are confined in regions III and V, bounded by characteristic cones of semi-angle
θ 0 = arc cos (ω/N). There, coordinates σ ± describe transverse distances, with
which the phase variates.
Figure 11. Boussinesq internal wave field of an impulsively pulsating sphere. Out of the
characteristic torus of radius Nta gravity waves, whose surfaces of constant phase
are conical (cf. figure 2), dominate. Inside the torus they give way to buoyancy
oscillations, whose phase is constant.
Figure 12. Original integration path (dotted line), and steepest descent contours (heavy
lines), for the asymptotic expansion of (D12). The saddle points ω 1 and ω 2 are
situated a distance (α/2t) 2/3 from the origin ω 3 = 0 which makes no contribution to
the expansion.