The Shoaling, Breaking and Runup of the Solitary Wave on Impermeable Rough Slopes

Kishi, Tsutomu; Saeki, Hiroshi

doi:10.1061/9780872620087.021

Cited by 9 publications

(11 citation statements)

References 3 publications

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“…The runup on an opposing hill slope from the offshore propagating waves generated by landslides has been studied in two-dimensional physical models [Fritz et al, 2001;Ataie-Ashtiani and Najafi-Jilani, 2008;Ataie-Ashtiani and Nik-Khah, 2008;Najafi-Jilani and Ataie-Ashtiani, 2008;Fritz et al, 2009] and in a threedimensional scaled physical model of Sunnylvsfjorden branch of Storfjorden, Norway [Harbitz et al, 2014;Lindstrøm et al, 2014]. Opposing hill slope runup has been investigated in the laboratory and analytically for incident solitary waves [Hall and Watts, 1953;Kishi and Saeki, 1966;Camfield and Street, 1969;Synolakis, 1987;Liu et al, 1995;Madsen and Sch€ affer, 2010;Saelevik et al, 2013], cnoidal waves [Synolakis et al, 1988;Madsen and Sch€ affer, 2010;Chan and Liu, 2012], and periodic waves [Carrier and Greenspan, 1958;Keller and Keller, 1964;Guza and Thornton, 1982;Holman, 1986;Kanoglu and Synolakis, 1998;Madsen and Sch€ affer, 2010]. Predictive equations for the maximum opposing hill slope runup with a solitary wave have been derived empirically [Hall and Watts, 1953;Kishi and Saeki, 1966;Camfield and Street, 1969] and analytically [Synolakis, 1987;Madsen and Sch€ affer, 2010].…”

Section: Introductionmentioning

confidence: 99%

“…Opposing hill slope runup has been investigated in the laboratory and analytically for incident solitary waves [Hall and Watts, 1953;Kishi and Saeki, 1966;Camfield and Street, 1969;Synolakis, 1987;Liu et al, 1995;Madsen and Sch€ affer, 2010;Saelevik et al, 2013], cnoidal waves [Synolakis et al, 1988;Madsen and Sch€ affer, 2010;Chan and Liu, 2012], and periodic waves [Carrier and Greenspan, 1958;Keller and Keller, 1964;Guza and Thornton, 1982;Holman, 1986;Kanoglu and Synolakis, 1998;Madsen and Sch€ affer, 2010]. Predictive equations for the maximum opposing hill slope runup with a solitary wave have been derived empirically [Hall and Watts, 1953;Kishi and Saeki, 1966;Camfield and Street, 1969] and analytically [Synolakis, 1987;Madsen and Sch€ affer, 2010]. The solitary wave runup equations by Hall and Watts [1953] and Synolakis [1987] were successfully applied to the 524 m runup at the 1958 Lituya Bay event based on the leading incident wave crest measured in the physical model by Fritz et al [2001Fritz et al [ , 2009.…”

Section: Introductionmentioning

confidence: 99%

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Runup of granular landslide‐generated tsunamis on planar coasts and conical islands

McFall

Fritz

2017

JGR Oceans

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Large‐scale physical model experiments of tsunamis generated by granular landslides and volcanic flank collapses are conducted to study the wave runup on both the hill slope laterally adjacent to the landslide and an opposing hill slope. A pneumatic landslide tsunami generator was deployed on planar and convex conical hill slopes to simulate deformable landslides with various geometries and kinematics. On the landslide hill slope, maximum runup and rundown were observed in the landslide impact region followed by adjacent second maxima after the lateral waves were fully formed. The runup and rundown decayed asymptotically from the second maxima. In the conical island scenario, a localized runup amplification was measured on the lee side of the island. Outside the landslide impact region, the effects of the landslide granulometry on the lateral wave runup are minimal. The lateral wave runup on the planar hill slope was generally larger than on the convex conical hill slope outside the landslide impact region. The convex conical hill slope traps less lateral wave energy. The zeroth mode of the edge wave dispersion relation matched the first and second lateral waves on the planar hill slope and the first wave on the convex conical hill slope. Predictive equations for the laterally propagating wave characteristics are derived and a method to predict the runup on an opposing hill slope is presented. The predictive wave and runup equations are benchmarked against the 2007 landslide‐generated tsunami in Chehalis Lake, British Columbia, Canada.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Runup of granular landslide‐generated tsunamis on planar coasts and conical islands

McFall

Fritz

2017

JGR Oceans

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“…The effect of a varying bottom on water waves of this class is of obvious engineering importance and numerical solutions were obtained by Peregrine [36] and Madsen and Mei [26] using a finite difference scheme to compute the deformation of a solitary wave climbing a beach. Experimental results for wave shoaling and breaking of solitary waves were obtained by Ippen and Kulin [18], Kishi and Saeki [23], Camfield and Street [6], and Synolakis [39]. Note also that Pelinovsky and Talipova [34,35] studied the shoaling curves obtained by the wave height-wave energy relation for numerical solutions of the full water wave problem found by Longuet-Higgins [24] and Longuet-Higgins and Fenton [25].…”

Section: Evolution Of Solitary Waves On a Sloping Bottommentioning

confidence: 99%

On the influence of wave reflection on shoaling and breaking solitary Waves

Senthilkumar¹

2016

Proc. Estonian Acad. Sci.

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Abstract. A coupled BBM system of equations is studied in the situation of water waves propagating over a decreasing fluid depth. A conservation equation for mass and also a wave breaking criterion, both valid in the Boussinesq approximation, are found. A Fourier collocation method coupled with a 4-stage Runge-Kutta time integration scheme is employed to approximate solutions of the BBM system. The mass conservation equation is used to quantify the role of reflection in the shoaling of solitary waves on a sloping bottom. Shoaling results based on an adiabatic approximation are analysed. Wave shoaling and the criterion of the breaking of solitary waves on a sloping bottom are studied. To validate the numerical model the simulation results are compared with reference results and a good agreement between them can be observed. Shoaling of solitary waves is calculated for two different types of mild slope model systems. Comparison with reference solutions shows that both of these models work well in their respective regimes of applicability.

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“…Wave runup is a classical hydrodynamics problem that has been examined by experimental investigations, and linear and nonlinear theories (Hall and Watts, 1953;Carrier and Greenspan, 1958;Kishi and Saeki, 1966;Synolakis, 1987). Various numerical models have been developed for this numerically challenging problem.…”

Section: Introductionmentioning

confidence: 99%