Dispersive and Nondispersive Nonlinear Long Wave Transformations: Numerical and Experimental Results

Torsvik, Tomas; Abdalazeez, Ahmed; Dutykh, Denys; Denissenko, Petr; Didenkulova, Ira

doi:10.1007/978-3-030-29951-4_3

Cited by 3 publications

(4 citation statements)

References 23 publications

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“…( 24) and ( 27) are similar to the expression for the deviation of the water surface from the undisturbed state, obtained within Airy wave theory for a ocean tsunami (see, e.g., Ref. [38]).…”

Section: Free Edgessupporting

confidence: 81%

Possible realization of a phononic tsunami in a wedge-shaped sample

et al. 2021

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Exploiting the theory of solitons in a nonlinear elastic medium we predict a phenomenon called a phononic tsunami, which is characterized by the dramatic increase of the local amplitude of phonon modes. To elucidate the possible experimental detection of this phenomenon we propose to use a wedge-shaped sample in which a sharp edge serves for the emulation of the shoaling effect and such a local enhancement can be observed. Together with eigenfrequencies of transverse and longitudinal phonon modes of a system we find the characteristic dispersion relations that can be considered as a hallmark of a phononic tsunami. We justify our predictions by means of analytical calculations and numerical simulations showing a possible realization of this nonlinear effect in such a geometry. Our results provide the framework for the implementation of kind experiments aimed at realizing and investigating a phononic tsunami phenomenon in relevant materials.

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Section: Free Edgessupporting

confidence: 81%

Possible realization of a phononic tsunami in a wedge-shaped sample

et al. 2021

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“…Furthermore, The type of waves discussed in this study are regular waves, and nothing is yet known about how different incident wave shapes affect wave run-up, reflections, and breaking patterns. Torsvik et al [25] discuss the propagation and run-up of tsunami waves on an inclined beach with wave dispersion. Wave flume experiments show that wave dispersion plays an important role in wave signal propagation and wave translation.…”

Section: Influence Of the Average Breaking Parameter ξ On The Reflect...mentioning

confidence: 99%

“…A stochastic model describing the bottom irregularity is proposed, which has practical significance. Torsvik et al [25] used numerical models based on the finite volume method applied to the modified NLSW and modified Peregrine equations (Durán et al, [26]; Dutykh et al, [27]) and emphasized the theoretical framework and the development of equations of motion for shallow water long waves. This provided an important basis for the subsequent discussion of tsunami wave propagation and run-up on sloping beaches.…”

Section: Introductionmentioning

confidence: 99%

Physical Experimental Study on the Wave Reflection and Run-Up of a New Ecological Hollow Cube

Zhao,

Ding,

et al. 2024

Preprint

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A new type of artificial block is proposed by modifying the traditional block. Based on the physical model experiment, the wave reflection and run-up characteristics of the new ecological blocks under regular waves were examined, and the influence of the height of the "planting trough" border on the hydrodynamic properties was analyzed. The results indicate that the wave reflection and run-up would decrease with a decrease in the breakwater slope. As wave height increases, wave run-up increases, and the reflection coefficient falls. Wave reflection and run-up increase with an increasing wave period. The relative depth of the water has a smaller impact on the wave reflection than the wave run-up. The reflection coefficient of the new ecological blocks is consistently lower than that of the conventional and continues to decrease as the border of the "planting trough" is raised. The raised borders prevent water loss in the trough, resulting in no significant improvement in the wave run-up performance of the new blocks. The reflection coefficient and the relative run-up R/H gradually increase with the average wave breaking parameter ξ increase. The crude permeability coefficients for the new blocks, New Heights 1 and New Heights 2, are 0.53, 0.53, and 0.54, respectively.

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“…A stochastic model describing the bottom irregularity is proposed, which has practical significance. Torsvik et al [25] used numerical models based on the finite volume method applied to the modified nonlinear shallow water (NLSW) and modified Peregrine equations (Durán et al, [26]; Dutykh et al, [27]) and emphasized the theoretical framework and the development of equations of motion for shallow water long waves. This provided an important basis for the subsequent discussion of tsunami wave propagation and run-up on sloping beaches.…”

Section: Introductionmentioning

confidence: 99%

Physical Experimental Study on the Wave Reflection and Run-Up of a New Ecological Hollow Cube

Zhao,

Ding,

et al. 2024

JMSE

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Implementing quadrangular hollow blocks on breakwaters is a common method for wave mitigation and ocean disaster prevention. In order to improve the wave-damping performance of conventional quadrangular hollow blocks, a new quadrangular hollow block is proposed. In this study, a series of physical modeling experiments were conducted in a two-dimensional wave flume to investigate the wave reflection and wave run-up height of a new quadrilateral hollow block under regular wave action. Test results showed that wave reflection and wave run-up height decreased with the breakwater slope. The wave run-up height increased with wave height, and the reflection coefficient decreased with wave height. Wave reflection and run-up height increased with the wave period. The reflection coefficient of the new quadrangular hollow blocks was lower than that of the conventional quadrangular hollow blocks and decreased with frame height. In addition, this study found that the reflection coefficient and relative run-up height increased with the average wave breaking parameter. The new quadrilateral hollow block has advantages in wave mitigation compared to the conventional quadrilateral hollow block.

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Dispersive and Nondispersive Nonlinear Long Wave Transformations: Numerical and Experimental Results

Cited by 3 publications

References 23 publications

Possible realization of a phononic tsunami in a wedge-shaped sample

Possible realization of a phononic tsunami in a wedge-shaped sample

Physical Experimental Study on the Wave Reflection and Run-Up of a New Ecological Hollow Cube

Physical Experimental Study on the Wave Reflection and Run-Up of a New Ecological Hollow Cube

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