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Journal ArticleDOI

Propagation and breaking characteristics of solitons and N-wave in fresh water and brine

TL;DR: In this article, the results of the study on the wave propagation and breaking of solitons and N-waves in fresh water and brine are reported, and the experiments were performed in the twin flume facility at the Franzius Institute, Leibniz University of Hannover.
Abstract: In this paper, the results of the study on the wave propagation and breaking of solitons and N-waves in fresh water and brine are reported. The experiments were performed in the twin flume facility at the Franzius Institute, Leibniz University of Hannover. Brine from Dead Sea was used for the study. The objective of the experimental study was to determine the flood safety levels along the banks of the Dead Sea and to arrive at the empirical equations for run-up. A weakly coupled numerical model based on the fully nonlinear potential flow and Navier–Stokes equation was used to validate the experimental results. The proposed numerical model is in good agreement with the present experimental results and the available analytical solutions for run-up estimation. The breaking N-waves were found to have a reduced run-up when compared to breaking solitons. The paper shows that the long wave propagation and run-up in both brine and water has similar characteristics.
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Journal ArticleDOI
TL;DR: Sriram et al. as mentioned in this paper used the strong coupling between the fully nonlinear potential flow theory (FNPT) at the far field and Navier-Stokes (NS) equations in the nearshore.

10 citations

DOI
21 Feb 2022
TL;DR: In this paper , the authors studied the protection of coastal dunes against tsunamis by using laboratory experiments on a laboratory scale model of the dune (rigid surface) on different plane beach slopes.
Abstract: Tsunamis are one of the most disastrous natural hazards and have a high potential to devastate coastal infrastructure which can result in a notable loss of life. When tsunami waves approach the coast, they cause runup, overtopping, and inundation, which can damage coastal infrastructure and pose a threat to human lives. The tsunami runup is an important factor in the design of coastal protection structures against tsunamis. Therefore, it is essential to predict the runup height of tsunami waves accurately and quickly. From the field observations of past tsunami events at many parts of the world, it was identified that the coastal features like dunes, dense vegetation, and combination of dunes with vegetation, acted as natural buffers and provided protection to the regions behind those coastal features [1]-[6]. In order to study the protective behavior of coastal dunes against tsunamis, laboratory experiments were conducted on a laboratory scale model of the dune (rigid surface) on different plane beach slopes (s) (s= 1/2, 1/5, 1/15 & 1/20). The maximum solitary wave runup (R) was observed on the steep beach slope (s=1/2, non-breaking wave) and the minimum runup was observed on the mild beach slope (s=1/20, breaking wave) in the range 0.05
References
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Journal ArticleDOI
TL;DR: Schimmels et al. as mentioned in this paper studied the propagation and run-up of long tsunami-like waves in the 300m long Large Wave Flume (GWK), Hannover, Germany and analyzed the feasibility of experiments on tsunami runup in large facilities.

31 citations


"Propagation and breaking characteri..." refers background or methods in this paper

  • ...However, the wave period also needs to be considered in evaluating the run-up for very long waves, as recently pointed out by Sriram et al. (2016)....

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  • ...A detailed explanation and analysis of this tsunami generation technique was presented in Schimmels et al. (2016) and Sriram et al. (2016)....

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Journal ArticleDOI
TL;DR: In this article, the run-up of long waves on a beach consisting of three pieces of constant but different slopes is studied, and linear shallow-water theory is used for incoming impulse evolution, and nonlinear corrections are obtained for the runup stage.
Abstract: Run-up of long waves on a beach consisting of three pieces of constant but different slopes is studied. Linear shallow-water theory is used for incoming impulse evolution, and nonlinear corrections are obtained for the run-up stage. It is demonstrated that bottom profile influences the run-up characteristics and can lead to resonance effects: increase of wave height, particle velocity, and number of oscillations. Simple parameterization of tsunami source through an earthquake magnitude is used to calculate the run-up height versus earthquake magnitude. It is shown that resonance effects lead to the sufficient increase of run-up heights for the weakest earthquakes, and a tsunami wave does not break on chosen bottom relief if the earthquake magnitude does not exceed 7.8.

21 citations


"Propagation and breaking characteri..." refers background or result in this paper

  • ...Goring (1979) performed experiments to study the propagation of long waves onto a shelf. In this study, solitary and cnoidal wave models were used. When compared to the wave theories, the results were found to be in good agreement for cases having small and large amplitude waves. Empirical equations were proposed in Synolakis (1986, 1987) to estimate the run-up of breaking solitary waves on slopes. It was noted in many of the field observations that the coastline recedes just before the onset of a tsunami. The solitary wave model is not capable of representing the field observations. To account for these physical observations N-waves have been used instead of solitary waves as a mathematical model for the extreme waves. Compared to a solitary wave, described by a single positive pulse, N-waves have been characterized by a trough and crest. Tadepalli and Synolakis (1994) presented the run-up of non-breaking N-waves on sloping beaches. The study differentiated between the effective run-up obtained from a leading crest N-wave and leading trough N-waves. It was also identified that the leading trough N-wave accounted for a higher run-up when compared with a leading crest N-wave case. The inadequacy of the solitary wave model to predict the upper limit of near-shore generated tsunamis was explained by Madsen, Fuhrman, and Schäffer (2008). It was also observed that the geophysical scales for solitary waves as a model of the tsunami were not established....

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  • ...Goring (1979) performed experiments to study the propagation of long waves onto a shelf. In this study, solitary and cnoidal wave models were used. When compared to the wave theories, the results were found to be in good agreement for cases having small and large amplitude waves. Empirical equations were proposed in Synolakis (1986, 1987) to estimate the run-up of breaking solitary waves on slopes. It was noted in many of the field observations that the coastline recedes just before the onset of a tsunami. The solitary wave model is not capable of representing the field observations. To account for these physical observations N-waves have been used instead of solitary waves as a mathematical model for the extreme waves. Compared to a solitary wave, described by a single positive pulse, N-waves have been characterized by a trough and crest. Tadepalli and Synolakis (1994) presented the run-up of non-breaking N-waves on sloping beaches....

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  • ...Goring (1979) performed experiments to study the propagation of long waves onto a shelf....

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  • ...However, this scenario was found to be different for non-breaking N-waves as proposed by Tadepalli and Synolakis (1994) or symmetric N-waves by Ezersky, Tiguercha, and Pelinovsky (2013)....

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