# A Physical Interpretation of the Wind-Wave Instability as Interacting Waves

@article{Carpenter2017API, title={A Physical Interpretation of the Wind-Wave Instability as Interacting Waves}, author={Jeffrey Carpenter and Anirban Guha and E. Heifetz}, journal={Journal of Physical Oceanography}, year={2017}, volume={47}, pages={1441-1455} }

AbstractOne mechanism for the growth of ocean surface waves by wind is through a shear instability that was first described by Miles in 1957. A physical interpretation of this wind-wave instability is provided in terms of the interaction of the surface gravity wave with perturbations of vorticity within the critical layer—a near-singularity in the airflow where the background flow speed matches that of the surface gravity wave. This physical interpretation relies on the fact that the vertical… Expand

#### 7 Citations

Instability of a smooth shear layer through wave interactions

- Physics
- Physics of Fluids
- 2019

Wave interaction theory can be used as a tool to understand and predict instability in a variety of homogeneous and stratified shear flows. It is however, most often limited to piecewise-linear… Expand

Effect of free surface on submerged stratified shear instabilities

- Physics
- Journal of Fluid Mechanics
- 2018

In this paper, we have considered the effects of the shallowness of the domain as well as the air–water free surface on the stratified shear instabilities of the fluid underneath. First, we… Expand

A generalized action-angle representation of wave interaction in stratified shear flows

- Physics, Geology
- Journal of Fluid Mechanics
- 2017

In this paper we express the linearized dynamics of interacting interfacial waves in stratified shear flows in the compact form of action-angle Hamilton’s equations. The pseudo-energy serves as the… Expand

Understanding the destabilizing role for surface tension in planar shear flows in terms of wave interaction

- Physics
- 2017

Both surface tension and buoyancy force in stable stratification act to restore perturbed interfaces back to their initial positions. Hence, both are intuitively considered as stabilizing agents.… Expand

Wave interaction approach to regular and singular modes in neutrally stable shear layers

- Physics
- 2020

In a recent letter, Carpenter and Guha (2019) compared the neutral modes of a smooth two dimensional shear profile without an inflection point to the modes of its corresponding piecewise-linear… Expand

On a new non-Boussinesq instability in stratified lakes and oceans

- Physics
- 2016

Lakes and many other geophysical flows are shallow, density stratified, and contain a free-surface. Conventional studies on stratified shear instabilities make Boussinesq approximation. Free-surface… Expand

Wave interactions in neutrally stable shear layers: Regular and singular modes, and non-modal growth

- Physics
- 2020

In a recent letter, Carpenter and Guha (2019) compared the neutral modes of a smooth two dimensional shear profile without an inflection point to the modes of its corresponding piecewise-linear… Expand

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