Advances in Numerical Simulation of Nonlinear Water Waves

Ma, Qingwei

doi:10.1142/7087

Cited by 36 publications

(33 citation statements)

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“…Many types of phase-resolving models exist. Classically, the mild-slope equation (Berkhoff, 1973;Booij, 1983, Hurdle et al, 1989 and Boussinesq-type wave models (Kirby, 2003;Ma, 2010) have been used. Nowadays, also three-dimensional non-hydrostatic wave models are applied more-andmore (e.g.…”

Section: Numerical Modelling Of a Navigation Channelmentioning

confidence: 99%

Impact of Harbor Navigation Channels on Waves: A Numerical Modelling Guideline

Dusseljee¹,

Klopman²,

Vledder

et al. 2014

Int. Conf. Coastal. Eng.

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This study presents an intercomparison of a SWAN and SWASH wave model and 3D laboratory experiments for an existing navigation channel towards a harbor. Results show that the spectral refraction model SWAN underestimates the wave conditions in the channel and at the lee side of the channel especially -for longer waves travelling under a small angle with the channel -due to the neglect of the effects of wave tunneling by diffraction and evanescent modes. The phase-resolving non-hydrostatic 3D model SWASH does include these effects and performs reasonably well, though computational CPU demands are much higher. A modelling guideline is presented for application to other situations, showing that these effects need to be taken into account in optimizing the (layout) of the harbor; otherwise it may lead to under-or overestimation of the wave conditions and wave penetration into a harbor basin.

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Section: Numerical Modelling Of a Navigation Channelmentioning

confidence: 99%

Impact of Harbor Navigation Channels on Waves: A Numerical Modelling Guideline

Dusseljee¹,

Klopman²,

Vledder

et al. 2014

Int. Conf. Coastal. Eng.

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“…One of the solutions of the NLS equation is the rational solution that could describe the rogue wave propagation. The latter is been a part of the marine folklore for centuries, while oceanographers did not believe in their existence (Ma 2010). Actually, the first measurement of the rogue wave is taken on the oil platform in Norway in 1995 (Müller et al 2005).…”

Section: Introductionmentioning

confidence: 99%

Rogue wave in Titan’s atmosphere

El‐Labany

Moslem

El-Bedwehy

et al. 2011

Astrophys Space Sci

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Rogue wave in a collisionless, unmagnetized electronegative plasma is investigated. For this purpose, the basic set of fluid equations is reduced to the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ionacoustic wavepackets through the derivation of the nonlinear Schrödinger (NLS) equation. In order to show that the characteristics of the rogue wave is influenced by the plasma parameters, the relevant numerical analysis of the NLS equation is presented. The relevance of our investigation to the Titan's atmosphere is discussed.

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“…3 and 4, and that are at play when the wave groups experience a strong nonlinear interaction and significant focusing. These are well-captured in the MNLS approach (Dysthe 1979;Trulsen and Stansberg 2001;Goullet and Choi 2011;Slunyaev et al 2013;Chabchoub 2013;Shemer and Alperovich 2013;Chabchoub and Waseda 2016) or fully nonlinear water wave numerical schemes (Ma 2010). The asymmetry increases when the wave steepness is increased from ak = 0.05 to ak = 0.06.…”

Section: Numerical Simulations and Experimental Set-upmentioning

confidence: 82%

Experiments on higher-order and degenerate Akhmediev breather-type rogue water waves

Chabchoub

Waseda

Kibler

et al. 2017

J. Ocean Eng. Mar. Energy

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A possible mechanism that is responsible for the occurrence of rogue waves in the ocean is the Benjamin-Feir instability or modulation instability. The deterministic framework that describes this latter instability of Stokes waves in deep water is provided by the family of Akhmediev breather (AB) solutions of the nonlinear Schrödinger equation (NLS). It is indeed very convenient to use these exact pulsating envelopes particularly for laboratory experiments, since they allow to generate extreme waves at any location in space at any instant of time. As such, using this framework is more advantageous compared to the classical initialization of the unstable wave dynamics from a three wave system (main wave frequency and one pair of unstable sidebands). In this work, we report an experimental study on higher-order AB hydrodynamics that describe a higher-order stage of modulation instability, namely, starting from five wave systems (main wave frequency and two pairs of unstable sidebands). The corresponding laboratory experiments, that have been conducted in a large water wave facility, confirm the NLS wave dynamics forecast while boundary element method-

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Advances in Numerical Simulation of Nonlinear Water Waves

Cited by 36 publications

References 0 publications

Impact of Harbor Navigation Channels on Waves: A Numerical Modelling Guideline

Impact of Harbor Navigation Channels on Waves: A Numerical Modelling Guideline

Rogue wave in Titan’s atmosphere

Experiments on higher-order and degenerate Akhmediev breather-type rogue water waves

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