Long-time dynamics of internal wave streaming

Abstract

Abstract

Finite-amplitude instabilities of thin internal wave beams: experiments and theory

“…As pointed out by recent work, transverse variations in the primary wave beam enable production of mean potential vorticity, which results in a horizontal mean flow (Bordes et al 2012;Kataoka & Akylas 2015;Fan et al 2018;Jamin et al 2020). This induced mean flow has two components, one of inviscid and the other of viscous origin.…”

“…2018; Jamin et al. 2020). This induced mean flow has two components, one of inviscid and the other of viscous origin.…”

“…Instead, they observed a growing horizontal mean flow of the streaming type which also impacts the beam itself via refraction. This induced mean flow is of viscous origin and hinges on the combined effects of transverse variations and nonlinearity (Kataoka & Akylas 2015;Fan, Kataoka & Akylas 2018;Jamin et al 2020). However, as noted by Dauxois et al (2018), it is unclear whether streaming and TRI can coexist, and the conditions that would favour one over the other remain largely unexplored.…”

“…This induced mean flow is of viscous origin and hinges on the combined effects of transverse variations and nonlinearity (Kataoka & Akylas 2015; Fan, Kataoka & Akylas 2018; Jamin et al. 2020). However, as noted by Dauxois et al.…”

Instabilities of finite-width internal wave beams: from Floquet analysis to PSI

“…It should be noted that three-dimensional (m / = 0) instabilities are possible and may be important at large amplitudes (Onuki & Tanaka 2019). Furthermore, other three-dimensional instability mechanisms such as streaming, which involves the generation of a resonant mean flow due to finite transverse variations of a beam (Kataoka & Akylas 2015;Fan, Kataoka & Akylas 2018;Fan & Akylas 2020;Jamin et al 2021) and thus falls beyond the scope of linear stability analysis, may be important in other contexts.…”