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Numerical Solution of Some Direct and Inverse Mathematical Problems for Tidal Flows

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Computational Science and High Performance Computing III

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 101))

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Abstract

The inverse problem of the mathematical theory of tides is considered in the form of defining a boundary values on liquid parts of boundary. The direct and conjugate equations of shallow water are closed by the observation data on the function of sea level (free surface elevation) on a part of the boundary. The iterative algorithm is used for solving this complete problem in connection to tides of World Ocean.

This work is supported by Russian Foundation of Basic Research (grant N 05-01-00579) and Department of mathematical science of RAS and SB RAS (project N  1.3.9).

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References

  1. Marchuk, G.I., Kagan, B.A.: Dynamics of ocean flood tides. Gidrometizdat, Leningrad (in Russian) (1983)

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  2. Agoshkov, V.I.: Russ. J. Numer. Anal. Math. Model 20(1), 1–18 (2005)

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  3. Agoshkov, V.I.: Optimal control and adjoint equations mehtods in problems of mathematical physics. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow (in Russian) (2003)

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  4. Kamenshchikov, L.P., Karepova, E.D., Shaidurov, V.V.: Russ. J. Numer. Anal. Math. Model 21(4), 305–320 (2006)

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  5. ETOPO2. National Geophysical Data Center (2001), http://www.ngdc.noaa.gov/ngdc.html

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Author information

Authors and Affiliations

  1. Institute of Numerical Mathematics RAS, Gubkina st. 8, 119991, Moscow, Russia

    V. I. Agoshkov

  2. Institute of Computational Modelling SB RAS, Academgorodok, 660036, Krasnoyarsk, Russia

    L. P. Kamenschikov, E. D. Karepova & V. V. Shaidurov

Authors
  1. V. I. Agoshkov
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  2. L. P. Kamenschikov
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  3. E. D. Karepova
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  4. V. V. Shaidurov
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Editor information

Editors and Affiliations

  1. RWTH Aachen, Germany

    Egon Krause

  2. Institute of Computational Technologies of SB RAS, Novosibirsk, Russia

    Yurii I. Shokin

  3. University of Stuttgart, Germany

    Michael Resch  & Nina Shokina  & 

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© 2008 Springer-Verlag Berlin Heidelberg

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Agoshkov, V.I., Kamenschikov, L.P., Karepova, E.D., Shaidurov, V.V. (2008). Numerical Solution of Some Direct and Inverse Mathematical Problems for Tidal Flows. In: Krause, E., Shokin, Y.I., Resch, M., Shokina, N. (eds) Computational Science and High Performance Computing III. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69010-8_4

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  • DOI: https://doi.org/10.1007/978-3-540-69010-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69008-5

  • Online ISBN: 978-3-540-69010-8

  • eBook Packages: EngineeringEngineering (R0)

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