Resonance phenomena at the long wave run-up on the coast

Ezersky, Alexander; Tiguercha, Djillali; Pelinovsky, Efim

doi:10.5194/nhess-13-2745-2013

Cited by 19 publications

(6 citation statements)

References 42 publications

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“…As a result, we get 10.67 times amplification, as shown in the run-up height R(t) in Fig. 13, while the result of Ezersky et al (2013) gives about 12 times amplification. It should be noted that they use a linear approximation to As mentioned in the Introduction, resonant phenomena were investigated by Stefanakis et al (2011) for monochromatic waves on a planar beach.…”

Section: Periodic Wavementioning

confidence: 87%

“…As a result, we get 10.67 times amplification as shown in the run- up height R(t) in Fig. 13, while the result of Ezersky et al (2013) gives about 12 times amplification. It should be noted that they use a linear approximation to calculate the amplification of periodic waves.…”

mentioning

confidence: 86%

“…Subsequently, Ezersky et al (2013) used three piece-wise linear profiles of unperturbed depths (see Fig. 12), akin to a real coastal bottom topography, to find the analytical run-up amplification due to resonance effects.…”

Section: Periodic Wavementioning

confidence: 99%

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Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Bokhove

Groesen

2014

Nonlin. Processes Geophys.

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Abstract. An effective boundary condition (EBC) is introduced as a novel technique for predicting tsunami wave runup along the coast, and offshore wave reflections. Numerical modeling of tsunami propagation in the coastal zone has been a daunting task, since high accuracy is needed to capture aspects of wave propagation in the shallower areas. For example, there are complicated interactions between incoming and reflected waves due to the bathymetry and intrinsically nonlinear phenomena of wave propagation. If a fixed wall boundary condition is used at a certain shallow depth contour, the reflection properties can be unrealistic. To alleviate this, we explore a so-called effective boundary condition, developed here in one spatial dimension. From the deep ocean to a seaward boundary, i.e., in the simulation area, we model wave propagation numerically over real bathymetry using either the linear dispersive variational Boussinesq or the shallow water equations. We measure the incoming wave at this seaward boundary, and model the wave dynamics towards the shoreline analytically, based on nonlinear shallow water theory over bathymetry with a constant slope. We calculate the run-up heights at the shore and the reflection caused by the slope. The reflected wave is then influxed back into the simulation area using the EBC. The coupling between the numerical and analytic dynamics in the two areas is handled using variational principles, which leads to (approximate) conservation of the overall energy in both areas. We verify our approach in a series of numerical test cases of increasing complexity, including a case akin to tsunami propagation to the coastline at Aceh, Sumatra, Indonesia.

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Section: Periodic Wavementioning

confidence: 87%

mentioning

confidence: 86%

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Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Bokhove

Groesen

2014

Nonlin. Processes Geophys.

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show abstract

“…As mentioned in the Introduction, resonant phenomena were investigated by Stefanakis et al (2011) for monochromatic waves on a planar beach. Subsequently, Ezersky et al (2013) used three piece-wise linear profiles of unperturbed depths (see Fig. 12), akin to a real coastal bottom topography, to find the analytical run-up amplification due to resonance effects.…”

Section: Periodic Wavementioning

confidence: 99%

Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Bokhove¹,

Groesen²

2014

Preprint

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Abstract. An effective boundary condition (EBC) is introduced as a novel technique to predict tsunami wave run-up along the coast and offshore wave reflections. Numerical modeling of tsunami propagation at the coastal zone has been a daunting task since high accuracy is needed to capture aspects of wave propagation in the more shallow areas. For example, there are complicated interactions between incoming and reflected waves due to the bathymetry and intrinsically nonlinear phenomena of wave propagation. If a fixed wall boundary condition is used at a certain shallow depth contour, the reflection properties can be unrealistic. To alleviate this, we explore a so-called effective boundary condition, developed here in one spatial dimension. From the deep ocean to a seaward boundary, i.e., in the simulation area, we model wave propagation numerically over real bathymetry using either the linear dispersive variational Boussinesq or the shallow water equations. We measure the incoming wave at this seaward boundary, and model the wave dynamics towards the shoreline analytically, based on nonlinear shallow water theory over sloping bathymetry. We calculate the run-up heights at the shore and the reflection caused by the slope. The reflected wave is then influxed back into the simulation area using the EBC. The coupling between the numerical and analytic dynamics in the two areas is handled using variational principles, which leads to (approximate) conservation of the overall energy in both areas. We verify our approach in a series of numerical test cases of increasing complexity, including a case akin to tsunami propagation to the coastline at Aceh, Sumatra, Indonesia.

show abstract

“…However, the real bottom bathymetry and coastline topography is much more complicated and can lead to resonant effects. In this SI, Ezersky et al (2013) study these effects in a schematized beach profile consisting of three pieces of constant but different slopes. They show that even such simple variations of bottom profile can lead to significant increase of wave height, particle velocity, and number of oscillations.…”

mentioning

confidence: 99%

Preface: New challenges for tsunami science: understanding tsunami processes to improve mitigation and enhance early warning

Hébert

Didenkulova

Fritz

et al. 2016

Nat. Hazards Earth Syst. Sci.

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Resonance phenomena at the long wave run-up on the coast

Cited by 19 publications

References 42 publications

Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Preface: New challenges for tsunami science: understanding tsunami processes to improve mitigation and enhance early warning

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