2019
DOI: 10.5194/nhess-19-2905-2019
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Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions

Abstract: Abstract. The estimate of an individual wave run-up is especially important for tsunami warning and risk assessment, as it allows for evaluating the inundation area. Here, as a model of tsunamis, we use the long single wave of positive polarity. The period of such a wave is rather long, which makes it different from the famous Korteweg–de Vries soliton. This wave nonlinearly deforms during its propagation in the ocean, which results in a steep wave front formation. Situations in which waves approach the coast … Show more

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Cited by 6 publications
(1 citation statement)
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References 37 publications
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“…Within the framework of the theory proposed in [13], the role of the wave steepness as a determining parameter for calculating the height of the tsunami wave run-up becomes clear. In [16], an appropriate formula for the maximum run-up height was proposed, taking into account the steepness of the wave front.…”
Section: Introductionmentioning
confidence: 99%
“…Within the framework of the theory proposed in [13], the role of the wave steepness as a determining parameter for calculating the height of the tsunami wave run-up becomes clear. In [16], an appropriate formula for the maximum run-up height was proposed, taking into account the steepness of the wave front.…”
Section: Introductionmentioning
confidence: 99%