Optimal perturbation growth on a breaking internal gravity wave

DOI10.1017/jfm.2021.603zbMath1473.76026OpenAlexW3194319728MaRDI QIDQ5152467

Christopher J. Howland, C. P. Caulfield, Jeremy P. Parker, R. R. Kerswell

Publication date: 24 September 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2021.603

zbMATH Keywords

convective instabilitystratified flowenergy growthshear-flow instability

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Absolute and convective instability and stability in hydrodynamic stability (76E15) Internal waves for incompressible inviscid fluids (76B55) Parallel shear flows in hydrodynamic stability (76E05) Stratification effects in inviscid fluids (76B70)

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Cites Work

• Unnamed Item
• The ‘zoo’ of secondary instabilities precursory to stratified shear flow transition. Part 1 Shear aligned convection, pairing, and braid instabilities
• Mixing in forced stratified turbulence and its dependence on large-scale forcing
• Optimal perturbations for boundary layers subject to stream-wise pressure gradient
• Length scales of turbulence in stably stratified mixing layers
• The onset of turbulence in finite-amplitude Kelvin–Helmholtz billows
• A note on an algebraic instability of inviscid parallel shear flows
• Instability and breakdown of internal gravity waves. I. Linear stability analysis
• Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations
• The anatomy of the mixing transition in homogeneous and stratified free shear layers
• Shear-induced breaking of internal gravity waves
• Kelvin–Helmholtz billows above Richardson number
• Evolution of an initially turbulent stratified shear layer
• Transient perturbation growth in time-dependent mixing layers
• The critical layer for internal gravity waves in a shear flow
• V<scp>ERTICAL</scp> M<scp>IXING</scp>, E<scp>NERGY</scp>, <scp>AND THE</scp> G<scp>ENERAL</scp> C<scp>IRCULATION OF THE</scp> O<scp>CEANS</scp>
• Stability of two-dimensional parallel flows for three-dimensional disturbances
• The effects of Prandtl number on the nonlinear dynamics of Kelvin–Helmholtz instability in two dimensions