Efim Pelinovsky

Institute of Applied Physics

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Ira Didenkulova

Institute of Applied Physics

Tatiana Talipova

Institute of Applied Physics

Andrey Kurkin

Nizhny Novgorod State Pedagogical University

Alexey Slunyaev

Institute of Applied Physics

Christian Kharif

Château Gombert

Andrey Zaytsev

Special Design Bureau for Automation of Marine Research

Ahmet Cevdet Yalçıner

Middle East Technical University

Oxana Kurkina

Nizhny Novgorod State Technical University

Narcisse Zahibo

Université des Antilles

Byung Ho Choi

Hanbat National University

Cooperative Institutions

Russian Academy of Sciences

Nizhny Novgorod State Pedagogical University

Nizhny Novgorod State Technical University

Institute of Applied Physics

National Research University Higher School of Economics

Centre National de la Recherche Scientifique

Middle East Technical University

Far Eastern Branch of the Russian Academy of Sciences

Sungkyunkwan University

V.I. Il'ichev Pacific Oceanological Institute

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The 1994 Shikotan earthquake tsunamis

Pure and Applied Geophysics (1995)

Harry Yeh В. В. Титов V. K. Gusiakov Efim Pelinovsky Vasily Khramushin

Hindcast

Tide gauge

Tsunami earthquake

10.1007/bf00874398

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Citations (33)

Nonreflecting Internal Wave Beam Propagation in the Deep Ocean

Journal of Physical Oceanography (2009)

Roger Grimshaw Efim Pelinovsky Tatiana Talipova

Abstract Using linear internal wave theory for an ocean stratified by both density and current, several background profiles are identified for which internal wave beams can propagate without any internal reflection. These special profiles are favorably compared with available oceanic data.

Reflection

Internal tide

10.1175/2009jpo4180.1

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Citations (30)

Probabilistic characteristics of narrow-band long wave run-up onshore

С. Н. Гурбатов Efim Pelinovsky

Abstract. The run-up of random long wave ensemble (swell, storm surge and tsunami) on the constant-slope beach is studied in the framework of the nonlinear shallow-water theory in the approximation of non-breaking waves. If the incident wave approaches the shore from deepest water, runup characteristics can be found in two stages: at the first stage, linear equations are solved and the wave characteristics at the fixed (undisturbed) shoreline are found, and, at the second stage, the nonlinear dynamics of the moving shoreline is studied by means of the Riemann (nonlinear) transformation of linear solutions. In the paper, detail results are obtained for quasi-harmonic (narrow-band) waves with random amplitude and phase. It is shown that the probabilistic characteristics of the runup extremes can be found from the linear theory, while the same ones of the moving shoreline – from the nonlinear theory. The role of wave breaking due to large-amplitude outliers is discussed, so that it becomes necessary to consider wave ensembles with non-Gaussian statistics within the framework of the analytical theory of non-breaking waves. The basic formulas for calculating the probabilistic characteristics of the moving shoreline and its velocity through the incident wave characteristics are given. They can be used for estimates of the flooding zone characteristics in marine natural hazards.

Swell

Shallow water equations

Airy wave theory

10.5194/nhess-2019-176

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Citations (1)

A generalized Korteweg‐de Vries model of internal tide transformation in the coastal zone

Journal of Geophysical Research Atmospheres (1999)

Peter E. Holloway Efim Pelinovsky Tatjana Talipova

A nonlinear model is developed, based on the rotated‐modified extended Korteweg‐de Vries (reKdV) equation, of the evolution of an initially sinusoidal long wave in the coastal zone, representing an internal tide, into nonlinear waves including internal solitary waves. The coefficients of the basic equation are calculated using observed conditions for the north west shelf (NWS) of Australia. The roles of both quadratic and cubic nonlinearity, the Earth's rotation, and frictional dissipation are discussed. The combined action of nonlinearity and rotation leads to a number of intersting features in the wave form including solitons of both polarities, “thick” solitons, and sharp waves with steep fronts. It is shown that rotation is important for modelling the evolution of the internal tide, even for the relatively low latitude on the NWS of 20°S. Rotation increases the phase speed of the long internal tide, reduces the number of internal solitary waves that form from a long wave, and changes the form of the waves. The effects of nonlinearity on the vertical modal structure of the internal waves are also discussed. Results of numerical simulations are compared with current and temperature observations of the internal wave field on the NWS which show many of the features produced by the generalized KdV model.

Internal tide

Kondratiev wave

Tidal Waves

10.1029/1999jc900144

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Citations (200)

Nonlinear Models of Finite Amplitude Interfacial Waves in Shallow Two-Layer Fluid

Mathematics of planet earth (2019)

Oxana Kurkina Andrey Kurkin Efim Pelinovsky Yury Stepanyants Tatiana Talipova

Kondratiev wave

10.1007/978-3-030-29951-4_4

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Citations (2)

Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach

Journal of Fluid Mechanics (2014)

Alexei Rybkin Efim Pelinovsky Ira Didenkulova

Abstract We present an exact analytical solution of the nonlinear shallow water theory for wave run-up in inclined channels of arbitrary cross-section, which generalizes previous studies on wave run-up for a plane beach and channels of parabolic cross-section. The solution is found using a hodograph-type transform, which extends the well-known Carrier–Greenspan transform for wave run-up on a plane beach. As a result, the nonlinear shallow water equations are reduced to a single one-dimensional linear wave equation for an auxiliary function and all physical variables can be expressed in terms of this function by purely algebraic formulas. In the special case of a U-shaped channel this equation coincides with a spherically symmetric wave equation in space, whose dimension is defined by the channel cross-section and can be fractional. As an example, the run-up of a sinusoidal wave on a beach is considered for channels of several different cross-sections and the influence of the cross-section on wave run-up characteristics is studied.

Hodograph

Section (typography)

10.1017/jfm.2014.197

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Citations (63)

The Moneron Tsunami of September 5, 1971, and Its Manifestation on the Sakhalin Island Coast: Numerical Simulation Results

Izvestiya Atmospheric and Oceanic Physics (2018)

Irina Kostenko Andrey Zaytsev D. D. Minaev Andrey Kurkin Efim Pelinovsky

Tsunami earthquake

10.1134/s0001433818010085

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Citations (2)