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

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Abstract

Characteristics of barotropic seiche oscillations of the middle part of the Peter the Great gulf are considered with the use of a spectral-finite difference model. The model is based on a linearized system of shallow water equations. Difference approximation is carried out on an irregular triangular spatial grid. The numerical method involves solving the eigenvalue problem and is able to directly obtain a set of frequencies and the corresponding shapes of seiche oscillations. The grid computational domain covers the Amurskiy bay and the Ussuriyskiy bay. The Zolotoy Rog bay and the Alekseeva bay are described in more detail on the grid. The 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 “Vladivostok” station of the Russian tsunami warning service are calculated and presented. The results of calculations for the Alekseeva bay are compared to the data of natural measurements and to the solution to the Cauchy problem.

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References

  1. Wilson, B.W., Seiches, in Advances in Hydrosciences, vol. 8, Ven Te Chow, Ed., Academic Press, 1972, pp. 1–94.

    Google Scholar 

  2. Rabinovich, A.B., Seiches and Harbor Oscillations, in Handbook of Coastal and Ocean Engineering, Kim, Y.C., Ed., Singapoure: World Scientific, 2009, Chap. 9, pp. 193–236.

    Chapter  Google Scholar 

  3. Frolov, A.V., Kamaev, D.A., Martyshchenko, V.A., and Shershakov, V.M., Experience of the Russian Tsunami Warning System Updating, Metrolog. Gidrolog., 2012, no. 6, pp. 5–21.

    Google Scholar 

  4. Zharikov, V.V. and Preobrazhenskii, B.V., Landscape Monitoring of the Alekseeva Bay of the Peter the Great Gulf, Podvod. Issled. Robotekh., 2010, no. 2, pp. 72–84.

    Google Scholar 

  5. Shevchenko, G.V., Chernov, A.G., Kovalev, P.D., and Gorin, I.I., Resonant Oscillations in Gulfs and Bays: Natural Experiments and Numerical Modeling, Tr. Alekseev Nizhnii Novgorod Gos. Tekh. Univ., 2010, no. 1, pp. 52–62.

    Google Scholar 

  6. Lamb, H., Hydrodynamics, 6th ed., Cambridge: Cambridge Univ. Press, 1932.

    MATH  Google Scholar 

  7. Dolgikh, G.I., Dolgikh, S.G., Smirnov, S.V., Chupin, V.A., Shvets, V.A., and Yakovenko, S.V., Infrasound Oscillations in the Sea of Japan, Dokl. Ross. Akad. Nauk, Earth Sci., 2011, vol. 441, no. 1, pp. 98–102.

    Google Scholar 

  8. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W., Kaushik, D., Knepley, M., McInnes, L.C., Smith, B., and Zhang, H., PETSc Users Manual, Illinois, USA: Argonne National Lab., Technical rep. no. ANL-95/11, 2008.

    Google Scholar 

  9. Hernandez, V., Roman, J.E., and Vidal, V., SLEPc: A Scalable and Flexible Toolkit for the Solution of Eigenvalue Problems, ACM Trans. Math. Soft., 2005, vol. 31, pp. 351–362.

    Article  MATH  MathSciNet  Google Scholar 

  10. Marchuk, G.I. and Kagan, B.A., Dinamika okeanskikh prilivov (Dynamics of Ocean Tides), Leningrad: Gidrometeoizdat, 1991.

    Google Scholar 

  11. Williamson, D., Difference Approximations for Fluid Flow on a Sphere, in Numerical Methods Used in Atmospheric Models, vol. 2, GARP Publi. Ser., no. 17, 1979, pp. 53–120.

    Google Scholar 

  12. Marchuk, An.G., Application of Geographical Information Systems to Modeling Natural and Man-Made Hazards, Vych. Tekhnol., 1996, vol. 1, no. 3, pp. 57–65.

    MATH  Google Scholar 

  13. Lotsiya severo-zapadnogo berega Yaponskogomorya (Sailing Directions of the North-Western Shore of the Sea of Japan), GUNiO, 1984.

  14. Atlas zaliva Petra Velikogo i severo-zapadnogo berega Yaponskogo morya do bukhty Sokolovskaya (dlya malomernogo flota) (Atlas of the Peter the Great Gulf and the North-Western Shore of the Sea of Japan up to the Sokolovskaya Bay (for Small-Size Ships)), Vladivostok: Gidrograph. Sluzhba TOF, 2003.

  15. Amante, C. and Eakins, B.W., ETOPO1 1 Arc-Minute Global Relief Model: Procedures, Data Sources and Analysis, NOAA Technical Memorandum NESDIS NGDC-24, Boulder, Colorado, 2009.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Automation and Control Processes, Far-East Department, Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia

    S. V. Smirnov

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  1. S. V. Smirnov
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Correspondence to S. V. Smirnov.

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Original Russian Text © S.V. Smirnov, 2014, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2014, Vol. 17, No. 2, pp. 203–216.

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Smirnov, S.V. On calculation of seiche oscillations of the middle part of the Peter the Great gulf. Numer. Analys. Appl. 7, 168–179 (2014). https://doi.org/10.1134/S1995423914020104

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  • DOI: https://doi.org/10.1134/S1995423914020104

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