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Numerical Analysis and Applications

2014 year, number 2

On calculation of seiche oscillations of the middle part of Peter the Great Gulf

S.V. Smirnov
Institute of Automation and Control Processes, 5 Radio St., Vladivostok, 690041, Russia
Keywords: seiches, harbour oscillations

Abstract

Characteristics of barotropic seiche oscillations of the middle part of Peter the Great Gulf are considered with the use of spectral-finite difference model. The model is based on the linearized system of shallow water equations. Difference approximation is carried out on an irregular triangular spatial mesh. The numerical method involves the solution of the eigenvalue problem and is able to directly obtain a set of frequencies and the corresponding forms of seiche oscillations. The grid computational domain covers the Amurskiy gulf and the Ussuriyskiy gulf. The Zolotoy Rog bay and the Alekseev bay are described in more detail on the grid. The calculated and presented spatial-temporal characteristics of a number of seiche oscillations corresponding to well-defined peaks of the energy spectrum of the sea level data from the station «Vladivostok» of the Russian of tsunami warning service. The results of calculations for the Alekseev bay are compared to the data of natural measurements and the solutions of the Cauchy problem.