年間 6 号発行
ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110
Indexed in
Tsunami Wave Runup on Coasts of Narrow Bays
要約
The runup of tsunami waves on the coasts of the narrow bays, channels and straits is studied in the framework of the nonlinear shallow water theory. Using the narrowness of the water channel, the one-dimensional equations are applied; they include the variable cross-section of the channel. It is shown that the analytical solutions can be obtained with the use of the hodograph (Legendre) transformation similar to the wave runup on the plane beach. As a result, the linear wave equation is derived and all physical variables (water displacement, fluid velocity, coordinate and time) can be determined. The dynamics of the moving shoreline (boundary of the flooding zone) is investigated in details. It is shown that all analytical formulas for the moving shoreline can be obtained explicitly. Two examples of the incident wave shapes are analyzed: sine wave and parabolic pulse. The last example demonstrates that even for approaching of the crest only, the flooding can appear very quickly; then water will recede relatively slowly, and then again quickly return to the initial state.
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Rybkin Alexei, Pelinovsky Efim, Didenkulova Ira, Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach, Journal of Fluid Mechanics, 748, 2014. Crossref
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Raz Amir, Nicolsky Dmitry, Rybkin Alexei, Pelinovsky Efim, Long Wave Runup in Asymmetric Bays and in Fjords With Two Separate Heads, Journal of Geophysical Research: Oceans, 123, 3, 2018. Crossref
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Rodin Artem, Didenkulova Ira, Pelinovsky Efim, Numerical Study for Run-Up of Breaking Waves of Different Polarities on a Sloping Beach, in Extreme Ocean Waves, 2016. Crossref
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Rybkin Alexei, Nicolsky Dmitry, Pelinovsky Efim, Buckel Maxwell, The Generalized Carrier–Greenspan Transform for the Shallow Water System with Arbitrary Initial and Boundary Conditions, Water Waves, 3, 1, 2021. Crossref
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Hartle Harrison, Rybkin Alexei, Pelinovsky Efim, Nicolsky Dmitry, Robust Computations of Runup in Inclined U- and V-Shaped Bays, Pure and Applied Geophysics, 178, 12, 2021. Crossref
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Pudjaprasetya Sri R., Risriani Vania M., Iryanto , Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays, Fluids, 6, 4, 2021. Crossref
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Bandyopadhyay Arghya, Manna Shibam, Maji Dipannita, Hydrodynamic aspects of tsunami wave motion: a review, Ocean Dynamics, 71, 5, 2021. Crossref
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Nicolsky Dmitry, Pelinovsky Efim, Raz Amir, Rybkin Alexei, General initial value problem for the nonlinear shallow water equations: Runup of long waves on sloping beaches and bays, Physics Letters A, 382, 38, 2018. Crossref