Finite-amplitude internal wavepacket dispersion and breaking. (English) Zbl 1007.76024

Sutherland, Bruce R.

J. Fluid Mech. 429, 343-380 (2001).

From the summary: The evolution and stability of two-dimensional, large-amplitude, non-hydrostatic internal wavepackets are examined analytically and by numerical simulations. We derive a weakly nonlinear dispersion relation for horizontally periodic, vertically compact internal waves, and apply the results to assess the stability of weakly nonlinear wavepackets to vertical modulations.

MSC:

76E17	Interfacial stability and instability in hydrodynamic stability
76B55	Internal waves for incompressible inviscid fluids
76B70	Stratification effects in inviscid fluids
76E30	Nonlinear effects in hydrodynamic stability

Keywords:

instability condition; stability condition; two-dimensional large-amplitude non-hydrostatic internal wavepackets; weakly nonlinear dispersion relation; vertical modulations