Journal ArticleDOI
Impulse response and spatio-temporal wave-packets: The common feature of rogue waves, tsunami, and transition to turbulence
TLDR
In this article, the impulse response of the canonical zero pressure gradient boundary layer from the dynamical system approach is presented. But the authors do not consider the effect of the wall excitation of the boundary layer on the formation of a wave front.Abstract:
Here, we present the impulse response of the canonical zero pressure gradient boundary layer from the dynamical system approach. The fundamental physical mechanism of the impulse response is in creation of a spatio-temporal wave-front (STWF) by a localized, time-impulsive wall excitation of the boundary layer. The present research is undertaken to explain the unit process of diverse phenomena in geophysical fluid flows and basic hydrodynamics. Creation of a tsunami has been attributed to localized events in the ocean-bed caused by earthquakes, landslides, or volcanic eruptions, whose manifestation is in the run up to the coast by surface waves of massive amplitude but of very finite fetch. Similarly rogue waves have often been noted; a coherent account of the same is yet to appear, although some explanations have been proposed. Our studies in both two- and three-dimensional frameworks in Sengupta and Bhaumik [“Onset of turbulence from the receptivity stage of fluid flows,” Phys. Rev. Lett. 107(15), 154501...read more
Citations
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Journal ArticleDOI
Numerical study of the landslide tsunami in the South China Sea using Herschel-Bulkley rheological theory
Zhiyuan Ren,Xi Zhao,Hua Liu +2 more
Journal ArticleDOI
Effects of forced frequency oscillations and free stream turbulence on the separation-induced transition in pressure gradient dominated flows
Aditi Sengupta,Paul G. Tucker +1 more
TL;DR: In this paper, the individual and cumulative effects of forced frequency oscillations and free stream turbulence (FST) on the separation-induced transition caused by an adverse pressure gradient on a flat plate geometry, are numerically investigated by solving the Navier-Stokes equation.
Journal ArticleDOI
A High Accuracy Preserving Parallel Algorithm for Compact Schemes for DNS
TL;DR: A new accuracy-preserving parallel algorithm employing compact schemes is presented for direct numerical simulation of the Navier-Stokes equations, with the connotation of accuracy preservation.
Journal ArticleDOI
Effects of forced frequency oscillations and unsteady wakes on the separation-induced transition in pressure gradient dominated flows
Aditi Sengupta,Paul G. Tucker +1 more
TL;DR: In this article, the individual and cumulative effects of forced frequency oscillations and unsteady wakes, on the separation-induced transition caused by an adverse pressure gradient on a flat plate geometry, are investigated.
Journal ArticleDOI
Is Tollmien-Schlichting wave necessary for transition of zero pressure gradient boundary layer flow?
TL;DR: In this article, the authors show the theoretical basis of natural transition by spatiotemporal stability analysis, as used in the work of Sengupta et al., by invoking finite start-up of the frequency response to wall excitation.
References
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BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
TL;DR: Numerical experiments indicate that the new variant of Bi-CG, named Bi- CGSTAB, is often much more efficient than CG-S, so that in some cases rounding errors can even result in severe cancellation effects in the solution.
Journal ArticleDOI
Optical rogue waves
TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
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The disintegration of wave trains on deep water Part 1. Theory
T. Brooke Benjamin,J. E. Feir +1 more
TL;DR: In this paper, a theoretical analysis of the stability of periodic wave trains to small disturbances in the form of a pair of side-band modes is presented, where the wave train becomes highly irregular far from its origin, even when the departures from periodicity are scarcely detectable at the start.
Journal ArticleDOI
Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
Journal ArticleDOI
The Peregrine soliton in nonlinear fibre optics
Bertrand Kibler,Julien Fatome,Christophe Finot,Guy Millot,Frédéric Dias,Frédéric Dias,Goëry Genty,Nail Akhmediev,John M. Dudley +8 more
TL;DR: The Peregrine soliton was observed experimentally for the first time by using femtosecond pulses in an optical fiber as mentioned in this paper, which gave some insight into freak waves that can appear out of nowhere before simply disappearing.
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