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Natural Frequencies and Seiche Forms in a Channel with Varying Depth

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Abstract

Standing waves (seiches) in a rectangular channel with varying depth are considered in the case when the channel depth steadily changes starting from zero. The modified accelerated-convergence method is used to solve the problem. The dependences of the form of the seiches on the channel width are obtained for different bottom profiles. The behavior of natural frequencies for channel depth profiles is analyzed.

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REFERENCES

  1. Lamb, H., Hydrodynamics, Cambridge: Univ. Press, 1932.

    MATH  Google Scholar 

  2. Sretenskii, L.N., Teoriya volnovykh dvizhenii zhidkosti (The Theory of Fluid Wave Motion), Moscow: Nauka, 1977.

  3. Bukreev, V.I., Sturova, I.V., and Chebotnikov, A.V., Seiche oscillations in a rectangular channel with an abrupt expansion of the cross section, J. Appl. Mech. Tech. Phys., 2013, vol. 54, no. 4, pp. 531–540.

    Article  ADS  MATH  Google Scholar 

  4. Akulenko, L.D., Kalinichenko, V.A., and Nesterov, S.V., Seiches in a channel with a sharp variation in the bottom relief, Fluid Dyn., 2012, no. 3, pp. 387–394.

  5. Siegenthaler, C., Seiches and the slide/seiche dynamics; subcritical and supercritical subaquous mass fows and their deposits. examples from Swiss lakes, Swiss J. Geosci., 2021, vol. 114, no. 17. https://doi.org/10.1186/s00015-021-00394-6

  6. Magdalena, I., Karima, N., and Rif’atin, H.Q., Resonant periods of seiches in semi-closed basins with complex bottom topography, Fluids, 2021, vol. 6, no. 181. https://doi.org/10.3390/fluids6050181

  7. Akulenko, L.D. and Nesterov, S.V., High-Precision Methods in Eigenvalue Problems and Their Applications, Boca Raton, FL: Chapman and Hall/CRC Press, 2005.

    MATH  Google Scholar 

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Funding

This work was performed according to government task no. AAAA-A20-120011690132-4.

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Correspondence to S. V. Nesterov.

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To the 120th anniversary of L.N. Sretensky

Translated by E. Smirnova

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Nesterov, S.V. Natural Frequencies and Seiche Forms in a Channel with Varying Depth. Fluid Dyn 57, 887–890 (2022). https://doi.org/10.1134/S0015462822070084

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  • DOI: https://doi.org/10.1134/S0015462822070084

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