Laboratory and Numerical Studies of Tsunami Waveform Propagating over a Plane Bed

Semenov K. K., Nudner I. S., Lebedev V. V., Zaharov Yu. N., Zimin A. I., Stukolov S. V.

This paper presents the results of the studies of tsunami waveform characteristics obtained in laboratory conditions during propagation over a plane bed. The dependences of the rise rate of the leading wave front, the characteristics of the dispersive wave tail, the duration of the main wave impulse on its height for various water depths are investigated. Using the methods of the mathematical data processing, the mainly linear character of these dependences is shown. The paper presents a comparison of the waveform profile recorded during the experimental studies with the results of numerical calculations describing the process of wave generation by a laboratory wavemaker. These calculations were performed using mathematical models based on the potential theory of an ideal incompressible fluid (the method of boundary elements) and on the theory of a viscous incompressible two-component fluid (the method of finite differences). The obtained results can be used in engineering calculations of the characteristics of tsunami wave impacts on hydraulic structures, for approbation of numerical models that describe the generation and propagation of tsunami waves, including in the laboratory conditions. This paper continues the research of the authors’ team aimed at developing a mathematical model of the origin and propagation of solitary waves in a physical experiment.

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