Vortex generation due to internal solitary wave propagation past a sidewall constriction

Deepwell, David; Clarry, Cameron; Subich, Christopher; Stastna, Marek

doi:10.1017/jfm.2021.25

Cited by 7 publications

(1 citation statement)

References 60 publications

(118 reference statements)

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“…Also, there are so many physical situations where external excitation feels, for instance, plasma wave propagating in astronomical space environment moves under the influence of external periodic and hyperbolic forces in many cases [36]- [38]. For instance, for geophysical and marine purposes, waves produced by moving ships or flowing over the bottom topography need to be modeled using external forces [39,40]. Thus, the inclusion of damping and externally applied forces make a dynamic model more realistic and effective.…”

Section: Introductionmentioning

confidence: 99%

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

Raut,

Kairi,

Chatterjee

et al. 2023

Preprint

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This paper claims the integrability of the non-autonomous generalized perturbed KdV (NgPKdV) equation through Painlevé analysis. Additionally, bilinear Bäcklund transformations, Lax pairs, and infinite conservation laws are developed to demonstrate the integrability of the said equation. Employing Hirota's approach, multi-solitons of the NgPKdV equation are constructed, from which the breather and hybrid solutions are explored with the proper choice of polynomial functions in the solution space. The changes in the behavior of non-autonomous solitons under different physical conditions are studied with special care. The propagating properties of single and double non-autonomous breathers along with their interactive properties with solitons are observed from the numerical viewpoint. An extensive study is also conducted on the propagation of solitary interactions and complex hybrid solutions. PACS 52.30-q · 94.30.cq · 52.35.Fp

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Section: Introductionmentioning

confidence: 99%

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

Raut,

Kairi,

Chatterjee

et al. 2023

Preprint

View full text Add to dashboard Cite

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Tuning control parameters of underwater vehicle to minimize the influence of internal solitary waves

Cheng,

Du,

Wang

et al. 2024

Ocean Engineering

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The boundary layer instability beneath internal solitary waves and its sensitivity to vortex wakes

Posada-Bedoya,

Olsthoorn,

Boegman

2024

J. Fluid Mech.

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We investigated the stability of the bottom boundary layer (BBL) beneath periodic internal solitary waves (ISWs) of depression over a flat bottom through two-dimensional direct numerical simulations. We explored the convective versus absolute/global nature of the BBL instability in response to changes in Reynolds number, and the sensitivity of the instability to seeding noise in the front of the ISW – spanning laboratory to geophysical scales. The BBL was laminar at $Re_{ISW}=90$ and convectively unstable at $Re_{ISW}=300$ . At laboratory-scale $Re_{ISW}=300$ , the convective wave packet was periodically amplified by each successive ISW, until vortex shedding occurred. The associated noise-amplification behaviour potentially explains the discrepancies of the critical $Re_{ISW}$ between the lock–release laboratory experiments and our Dubreil–Jacotin–Long-initialized numerical simulations as the result of the difference in background noise. Instability energy decreased under the front shoulder of the ISW, analogous to flow relaminarization under a favourable pressure gradient. At geophysical-scale $Re_{ISW}=900$ , the BBL was initially convectively unstable, and then the instability tracked with the ISW, appearing phenomenologically similar to a global instability. The simulated initial convective instability at both $Re_{ISW}=300$ and $Re_{ISW}=900$ is in agreement with local linear stability analysis which predicts that the instability group speed is always lower than the ISW celerity. Increased free stream perturbations in front of the ISW and larger $Re_{ISW}$ shift the location of vortex shedding (and enhanced bed shear stress) beneath the wave, closer to the ISW trough, thereby potentially changing the location of maximum sediment resuspension, in agreement with field observations at higher $Re_{ISW}$ .

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Vortex generation due to internal solitary wave propagation past a sidewall constriction

Abstract: Abstract

Cited by 7 publications

References 60 publications

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

Tuning control parameters of underwater vehicle to minimize the influence of internal solitary waves

The boundary layer instability beneath internal solitary waves and its sensitivity to vortex wakes

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