Run-up amplification of transient long waves

Stefanakis, Themistoklis; Xu, Shanshan; Dutykh, Denys; Dias, Frédéric

doi:10.1090/s0033-569x-2015-01377-0

Cited by 9 publications

(20 citation statements)

References 42 publications

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“…Among those, the ones that are the most relevant to the discussion in the present study are Stefanakis et al (2015), Stefanakis et al (2011), Carrier and Noiseux (1983), Ezersky et al (2013a), Fuentes et al (2015), Volker et al (2010), and Yamazaki and Cheung (2011). The last two of these studies report coastal resonance mechanisms leading to amplified run-ups during the 2009 Samoa and 2010 Chile tsunamis respectively.…”

Section: Introductionmentioning

confidence: 77%

“…With this boundary condition their results diverged at certain discrete real frequencies (Eq. 46 in Stefanakis et al, 2015). They attributed this to run-up resonance.…”

Section: Green's Function and The Free Mode Expansionmentioning

confidence: 97%

“…Recently Stefanakis et al (2015) attempted to calculate resonant frequencies for a geometry similar to Ezersky et al (2013b) but imposed an offshore Dirichlet condition of the form η = 2η 0 sin(ωt) at a specified point x = L using a numerical wave maker. With this boundary condition their results diverged at certain discrete real frequencies (Eq.…”

Section: Green's Function and The Free Mode Expansionmentioning

confidence: 99%

“…During the last decades, several analytical and numerical studies of coastal run-up were published (see Synolakis, 1987;Brocchini, 1998;Brocchini and Gentile, 2001;Carrrier et al, 2003;Kânoglu, 2005;Kânoglu and Synokalis, 2005;Antuono and Brocchini, 2008;Özeren and Postacioglu, 2012;Stefanakis et al, 2015), most of which made use of Carrier-Greenspan transformations (Carrrier et al, 2003). Some of these works, for instance Stefanakis et al (2015Stefanakis et al ( , 2011 and Ezersky et al (2013b), identified the resonance as the fundamental factor for the run-up amplification.…”

Section: Introductionmentioning

confidence: 99%

“…Some of these works, for instance Stefanakis et al (2015Stefanakis et al ( , 2011 and Ezersky et al (2013b), identified the resonance as the fundamental factor for the run-up amplification. The bulk of the present study will be dedicated to determining the physical settings in which this might be the case.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the resonance hypothesis of storm surge and surf beat run-up

Postacıoğlu¹,

Özeren²,

Canlı³

2017

Nat. Hazards Earth Syst. Sci.

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Abstract. Resonance has recently been proposed as the fundamental underlying mechanism that shapes the amplification in coastal run-up for storm surges and surf beats, which are long-wavelength disturbances created by fluid velocity differences between the wave groups and the regions outside the wave groups. It is without doubt that the resonance plays a role in run-up phenomena of various kinds; however, we think that the extent to which it plays its role has not been completely understood. For incident waves, which we assume to be linear, the best approach to investigate the role played by the resonance would be to calculate the normal modes by taking radiation damping into account and then testing how those modes are excited by the incident waves. Such modes diverge offshore, but they can still be used to calculate the run-up. There are a small number of previous works that attempt to calculate the resonant frequencies, but they do not relate the amplitudes of the normal modes to those of the incident wave. This is because, by not including radiation damping, they automatically induce a resonance that leads to infinite amplitudes, thus preventing them from predicting the exact contribution of the resonance to coastal run-up. In this study we consider two different coastal geometries: an infinitely wide beach with a constant slope connecting to a flat-bottomed deep ocean and a bay with sloping bottom, again, connected to a deep ocean. For the fully 1-D problem we find significant resonance if the bathymetric discontinuity is large.The linearisation of the seaward boundary condition leads to slightly smaller run-ups. For the 2-D ocean case the analysis shows that the wave confinement is very effective when the bay is narrow. The bay aspect ratio is the determining factor for the radiation damping. One reason why we include a bathymetric discontinuity is to mimic some natural settings where bays and gulfs may lead to abrupt depth gradients such as the Tokyo Bay. The other reason is, as mentioned above, to test the role played by the depth discontinuity for resonance.

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Section: Introductionmentioning

confidence: 77%

“…With this boundary condition their results diverged at certain discrete real frequencies (Eq. 46 in Stefanakis et al, 2015). They attributed this to run-up resonance.…”

Section: Green's Function and The Free Mode Expansionmentioning

confidence: 97%

Section: Green's Function and The Free Mode Expansionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the resonance hypothesis of storm surge and surf beat run-up

Postacıoğlu¹,

Özeren²,

Canlı³

2017

Nat. Hazards Earth Syst. Sci.

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show abstract

Learning extreme wave run-up conditions

Dutykh

2020

Applied Ocean Research

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Will oscillating wave surge converters survive tsunamis?

O’Brien

Christodoulides

Renzi

et al. 2015

Theoretical and Applied Mechanics Letters

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a b s t r a c tWith an increasing emphasis on renewable energy resources, wave power technology is becoming one of the realistic solutions. However, the 2011 tsunami in Japan was a harsh reminder of the ferocity of the ocean. It is known that tsunamis are nearly undetectable in the open ocean but as the wave approaches the shore its energy is compressed, creating large destructive waves. The question posed here is whether an oscillating wave surge converter (OWSC) could withstand the force of an incoming tsunami. Several tools are used to provide an answer: an analytical 3D model developed within the framework of linear theory, a numerical model based on the non-linear shallow water equations and empirical formulas. Numerical results show that run-up and draw-down can be amplified under some circumstances, leading to an OWSC lying on dry ground!

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Run-up amplification of transient long waves

Cited by 9 publications

References 42 publications

On the resonance hypothesis of storm surge and surf beat run-up

On the resonance hypothesis of storm surge and surf beat run-up

Learning extreme wave run-up conditions

Will oscillating wave surge converters survive tsunamis?

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