Bulletin of the American Physical Society
77th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 24–26, 2024; Salt Lake City, Utah
Session T35: Waves: Nonlinear Dynamics and Turbulence |
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Chair: Ashleigh Simonis, University of Michigan Room: 355 A |
Monday, November 25, 2024 4:45PM - 4:58PM |
T35.00001: Extreme events in a set of elastic bending waves Murukesh Muralidhar, Antoine Naert, Sébastien Aumaître Rogue waves are exceptionally large & extreme waves that take place in seas and oceans. A more classical definition is, waves with heights exceeding twice the significant height of a given sea state. These rare, destructive events demand an understanding of their underlying physical mechanism for their prediction, particularly considering their impact on seafaring and structures. This study aims to explore the existence and possibly characterize these extreme events in an analogous system—a thin, elastic stainless steel plate. |
Monday, November 25, 2024 4:58PM - 5:11PM |
T35.00002: New Measurements of Bores, Solitons, and Hydraulic Jumps in Towed Topography Joshua Carlson, Roberto Camassa, Richard M McLaughlin, Lingyun Ding We revisit the seminal experiment of wave generation by flow over topography (Lee, Yates and Wu, 1989, Lee, 1985), whereby a shallow, steady current over a localized bottom bump can act as a periodic source of upstream running long waves. We explore new parametric regimes in the two-parameter space of incoming stream velocity (Froude number) and topography amplitude (ratio of bump height and undisturbed fluid depth) in our 27m wave tank with towed topography, and compare our data with numerical simulations and theoretical predictions. |
Monday, November 25, 2024 5:11PM - 5:24PM |
T35.00003: A laboratory experiment to reach an internal gravity wave turbulence regime Samuel Boury, Nicolas Lanchon, Pierre-Philippe Cortet The search for laboratory observations of fully developed internal gravity wave turbulence has been an active topic over the past decade. This regime of weakly non-linear stratified turbulence is, however, difficult to reach due to the separation between the linear and non-linear timescales required by the weakly non-linear assumption. To approach this dynamics, we designed a large-scale laboratory experiment comprising a 2.5m tall cylindrical tank filled with a linearly stratified fluid and a meter-scale wave generator. We will present the first experiments realized with this setup designed to reach higher Reynolds numbers and lower Froude numbers than in previous experiments. These results constitute a significant step towards the observation of fully-developed internal gravity wave turbulence in the lab. |
Monday, November 25, 2024 5:24PM - 5:37PM |
T35.00004: Eliminating flexural-gravity wave resistance on a moving line load with the double-frequency resonant interaction Max Pierce, Yuming Liu, Dick K P Yue We consider a fluid covered by an elastic sheet perturbed by a line load moving at a speed for which the leading wave is double the frequency of the trailing wave. We study resonant interactions among these waves using multiple-scale perturbation analysis and direct numerical simulation with a high-order spectral (HOS) method. We find that simultaneous nonlinear interactions in the leading and trailing wave fields can result in zero wave resistance and a localized, two-component wave packet which is steady in the moving frame. For forcing beneath the elastic sheet rather than above it, we show that the maximum bending stress and wave drag can be nearly double the linear prediction. The double-frequency case we consider is a special case of general triad interactions which can modify the maximum bending stress and wave drag over a wide range of speeds. This work is relevant to safe transportation over sea ice. |
Monday, November 25, 2024 5:37PM - 5:50PM |
T35.00005: Experimental Investigation of Tidally-Forced Internal Wave Turbulence at High Reynolds Number Zachary Taebel, Alberto Scotti, Dylan D Bruney, Pierre-Yves Passaggia Through basin-scale circulations, the ocean regulates global distributions of heat, nutrients, and greenhouse gases. To properly predict the future of the ocean under climate change, we need to develop a thorough understanding of the underlying mechanisms that drive global circulations. An estimated 2 TW of power is required to support interior mixing that balances deep-water formation. Roughly half of this power is believed to come from tidal flow over topography, producing internal gravity waves (IGW's), which can radiate energy throughout the ocean interior. But it is difficult to track the subsequent journey from tidal injection to dissipation, as the energy cascade spans an enormous range of spatio-temporal scales and multiple different nonlinear transfer mechanisms. |
Monday, November 25, 2024 5:50PM - 6:03PM |
T35.00006: ABSTRACT WITHDRAWN
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Monday, November 25, 2024 6:03PM - 6:16PM |
T35.00007: Numerical investigation of the time scales of nonlinear spectral evolution in surface gravity waves Ashleigh P Simonis, Yulin Pan The wave kinetic equation predicts spectral evolution of surface gravity waves on a kinetic time scale of O(ε-4), where ε denotes the wave steepness. However, observations in [1] and several other works have identified that when a surface gravity wave field is subjected to a sudden perturbation by external forcing, its spectrum evolves on a “fast” dynamic time scale of O(ε-2), contradicting the prediction of the wave turbulence theory. This problem was revisited in [2], which utilized the Majda-McLaughlin-Tabak (MMT) model with gravity wave dispersion to investigate the relevant time scales of nonlinear spectral evolution. In the current work, we expand on the findings and apply the methodology developed in [2] to surface gravity waves within the framework of the Euler equations for a free surface. We seek to provide a deeper understanding of the mechanisms governing nonlinear spectral evolution in surface gravity waves, advancing the insights obtained via the simplified MMT model. This study focuses on the nonlinear spectral evolution in both inverse and direct cascade processes in an effort to shed new light on the discrepancy between theoretical predictions and observed phenomena. |
Monday, November 25, 2024 6:16PM - 6:29PM |
T35.00008: The transition from Rayleigh to baroclinic acoustic streaming Remil Mushthaq, Guillaume Michel, Greg P Chini Rayleigh [Phil. Trans. R. Soc. Lond. 175, 1(1884)] computed the time-mean Eulerian flow of a homogeneous fluid driven by the viscous attenuation of standing acoustic waves in oscillatory boundary layers, commonly referred to as Rayleigh streaming. Recently, Chini et.al. [J. Fluid Mech., Vol. 744 (2014), pp. 329-351] demonstrated that, owing to fluctuating baroclinicity, streaming flows in strongly inhomogeneous (thermally-stratified) gases are orders of magnitude faster than those realized in Rayleigh streaming. While these two streaming regimes have been studied separately, an analytical solution capturing the transition between them has not yet been discussed. To address this omission, we perform a systematic asymptotic analysis of an acoustically-driven weakly inhomogeneous ideal gas confined in a horizontal channel. We obtain a strictly analytical description of the resulting steady streaming flow, and validate the analytical solution via comparisons with existing experimental and numerical results. The analysis elucidates the relative contributions of baroclinic and viscous torques to the resulting streaming flow, and reveals the distinguished scaling of the temperature gradient required to trigger a transition from Rayleigh to baroclinic acoustic streaming. |
Monday, November 25, 2024 6:29PM - 6:42PM |
T35.00009: Abstract Withdrawn |
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