Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session T44: Waves: Internal and Interfacial
4:25 PM–5:56 PM,
Monday, November 20, 2023
Room: 208AB
Chair: Pablo Gutierrez, Universidad de O'Higgins
Abstract: T44.00004 : Small-scale instabilities in a plane inertial wave
5:04 PM–5:17 PM
Presenter:
Abhiram D S
(Indian Institute of Technology Madras)
Authors:
Abhiram D S
(Indian Institute of Technology Madras)
Manikandan Mathur
(Geophysical Flows lab, Department of Aerospace Engineering, Indian Institute of Technology Madras)
tions for a wide range of perturbation wave vector orientations. When A is sufficiently small, the only instability mechanism observed is the three-dimensional parametric subharmonic instability (PSI), where the most unstable perturbation wave vector aligns at an angle close to 60o with the inertial wave plane. Moreover, this most unstable perturbation is shear-aligned with the inertial wave within the inertial wave plane. Additionally, in the near-inertial regime, characterized by large Φ, there exists a broad range of perturbation wave vectors whose growth rates are comparable to the maximum growth rate. As we increase Α, the theoretical PSI estimates become less relevant in describing the instability characteristics. Instead, the dominant instability transitions to the two-dimensional shear-aligned instability, which is shown to be driven by third-order resonance. This transition from three-dimensional PSI to two-dimensional shear-aligned instability can be reasonably captured using a Rossby number-based criterion.
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