Influence of the shape of the bay cross section on wave run-up

Didenkulov, Oleg; Didenkulova, Ira; Pelinovsky, Efim; Kurkin, Andrey

doi:10.1134/s0001433815060055

Cited by 2 publications

(2 citation statements)

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“…Studies of wave propagation in bays with an U-shaped cross-section, carried out in Didenkulov et al (2015), Didenkulova and Pelinovsky (2011a), Rybkin et al (2014), Garayshin et al (2016), Didenkulova and Pelinovsky (2011b), are scientific and applied interest. In these articles analytical functions of the amplitude characteristics are obtained within the framework of the one-dimensional model.…”

Section: Introductionmentioning

confidence: 99%

“…The use of cross-section-averaged sea level distributions and horizontal flow velocity allows reducing two-dimensional long-wave equations to a one-dimensional model. Such models are easy to implement, they can be used to find a number of accurate analytical solutions (Didenkulova et al 2012;Friedrichs and Aubrey 1994;Didenkulov et al 2015;Didenkulova and Pelinovsky 2011a;Rybkin et al 2014), but they don't take into account the influence of the basin cross-section shape on the wave characteristics, which can be important during studying the height of the wave run-up on the shore.…”

Section: Introductionmentioning

confidence: 99%

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Propagation of a Single Long Wave in the Bays with U-Shaped Cross-Section Form

Belokon

Фомін

2021

Springer Geology

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In the framework of the nonlinear long wave theory, the evolution of a single wave propagating in the bays with U-shaped cross-section is studied. A good conformity was found between the numerical and analytical estimates of the wave height variation along the bay axis. It is shown that the influence of the shape of the bay cross-section on the wave field is manifested in the sea level rise with the approach to the bay periphery. Estimates of vertical run-up and drainage depth of the shore at the bay top with different cross-sectional shape were obtained. It is found that in bays with a triangular cross-sectional shape there are the greatest run-up height and the greatest drainage depths from the shore. The distance traveled by the wave from the bay entrance to the point of wave breaking is the largest for the bay with cross-sectional shape is approximate to rectangular.

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