An axisymmetric inertia-gravity wave generator

Maurer, P.; Ghaemsaidi, Sasan J.; Joubaud, Sylvain; Peacock, Thomas; Odier, Philippe

doi:10.1007/s00348-017-2423-x

Cited by 13 publications

(32 citation statements)

References 39 publications

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“…The effect of rotation on a conical wave beam emitted in a stratified fluid has already been documented in previous studies [20,26]. Hence, results for gravity waves could be easily extended to a rotating case with inertial or, more generally, inertia-gravity waves, as it mainly changes the vertical wave number m. In this study, we focus on a nonrotating fluid (f = 0).…”

Section: A Governing Equationsmentioning

confidence: 65%

“…Furthermore, to our knowledge, there is no quantitative study of resonant confined modes, even in two-dimensional geometries. In this paper, we perform laboratory experimental realizations of axisymmetric modes, made possible by the new form of wave generator developed by Maurer et al [26]. In section 2 we establish the general theory for axisymmetric modes of internal waves by considering both radial and vertical confinement as well as weakly viscous effects.…”

Section: Introductionmentioning

confidence: 99%

“…In section 2 we establish the general theory for axisymmetric modes of internal waves by considering both radial and vertical confinement as well as weakly viscous effects. Then, in section 3, we describe our experimental apparatus, adapted from Maurer's [26]. Experimental results are presented in section 4, followed by conclusions and discussion in section 5.…”

Section: Introductionmentioning

confidence: 99%

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Excitation and resonant enhancement of axisymmetric internal wave modes

2019

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To date, axisymmetric internal wave fields, which have relevance to atmospheric internal wave fields generated by storm cells and oceanic near-inertial wave fields generated by surface storms, have been experimentally realized using an oscillating sphere or torus as the source. Here, we use a novel wave generator configuration capable of exciting axisymmetric internal wave fields of arbitrary radial form to generate axisymmetric internal wave modes. After establishing the theoretical background for axisymmetric mode propagation, taking into account lateral and vertical confinement, and also accounting for the effects of weak viscosity, we experimentally generate and study modes of different order. We characterize the efficiency of the wave generator through careful measurement of the wave amplitude based upon group velocity arguments. This established, we investigate the ability of vertical confinement to induce resonance, identifying a series of experimental resonant peaks that agree well with theoretical predictions. In the vicinity of resonance, the wave fields undergo a transition to non-linear behaviour that is initiated on the central axis of the domain and proceeds to erode the wave field throughout the domain.

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Section: A Governing Equationsmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Excitation and resonant enhancement of axisymmetric internal wave modes

2019

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“…For a more general framework in further sections, for example while considering vertically confined wave fields, the vertical component will be noted φ. As in cartesian geometry, the parameters ω, l, and m are linked through the internal wave dispersion relation (Boury et al 2019;Maurer et al 2017)…”

Section: Governing Equationsmentioning

confidence: 99%

“…More recently, Ansong & Sutherland (2010) investigated internal waves excited by an axisymmetric convective plume in a constant density-gradient stratification. To obtain a high degree of control on the spatial form of an axisymmetric source, Maurer et al (2017) adapted the oscillating plate planar generator of Gostiaux et al (2006) to produce a wave generator capable of producing axisymmetric internal wave fields of arbitrary radial form, such as truncated Bessel modes or annular patterns, which opens the door on a wide range of possible experimental investigations. Inspired by studies on confined two dimensional internal waves, Boury et al (2019) used this apparatus to produce pure axisymmetric modes that can be used as the basis for understanding the behaviour of more complex fields via modal decomposition using the natural cylindrical basis of Bessel functions.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications

2020

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To date, the influence of non-linear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in non-linear stratifications of axisymmetric internal wave. Two configurations are studied, both theoretically and experimentally. In the case of a free incident wave, a transmission maximum is found in the vicinity of evanescent frequencies. In the case of a confined incident wave, resonant effects lead to enhanced transmission rates from an upper layer to layer below. We consider the oceanographic relevance of these results by applying them to an example oceanic stratification, finding that there can be real-world implications.Key words: Authors should not enter keywords on the manuscript, as these must be chosen by the author during the online submission process and will then be added during the typesetting process (see http://journals.cambridge.org/data/relatedlink/jfm-keywords.pdf for the full list) †

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The magic carpet: an arbitrary spectrum wave maker for internal waves

2019

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We present a novel apparatus for generating internal waves of arbitrary size and shape, including both phase-locked and propagating waves. It is an actively driven, flexible "magic carpet" in the base of a tank. Our wave maker is computercontrolled to enable easy configuration. The actuation of a smooth, flexible surface produces clean waveforms with a predictable spectrum, for which we derive a theoretical model. We demonstrate the versatility of our wave maker through an experimental study of linear and nonlinear, isolated, and combined internal waves, including some that are sufficiently nonlinear to break remote from their source.

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An axisymmetric inertia-gravity wave generator

Cited by 13 publications

References 39 publications

Excitation and resonant enhancement of axisymmetric internal wave modes

Excitation and resonant enhancement of axisymmetric internal wave modes

Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications

The magic carpet: an arbitrary spectrum wave maker for internal waves

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