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The role of bottom friction in models of nonbreaking tsunami wave runup on the shore

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Abstract

The role of bottom friction in the runup of nonbreaking long waves on the shore is analyzed. The case of the normal incidence of monochromatic waves is considered. The relief of the model region consists of an even horizontal bottom area conjugated with a flat slope. The energy dissipation is estimated as the work of bottom friction forces over the wave field obtained using the known analytical solution based on the Carrier-Greenspan transforms. Estimates of energy losses for waves whose periods are typical for tsunami waves have been obtained. The energy dissipation is shown to be not concentrated in the shore line area as a rule. The question about the practicability of using partially reflecting boundary conditions on the coast to take into account the bottom friction in large-scale models of tsunami propagation is considered.

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Authors and Affiliations

  1. Institute of Marine Geology and Geophysics, Far East Branch, Russian Academy of Sciences, ul. Nauki 1b, Yuzhno-Sakhalinsk, 693022, Russia

    A. V. Bernatskiy

  2. Moscow State University, Moscow, 119991, Russia

    M. A. Nosov

Authors
  1. A. V. Bernatskiy
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  2. M. A. Nosov
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Correspondence to A. V. Bernatskiy.

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Original Russian Text © A.V. Bernatskiy, M.A. Nosov, 2012, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2012, Vol. 48, No. 4, pp. 481–486.

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Bernatskiy, A.V., Nosov, M.A. The role of bottom friction in models of nonbreaking tsunami wave runup on the shore. Izv. Atmos. Ocean. Phys. 48, 427–431 (2012). https://doi.org/10.1134/S0001433812040032

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  • DOI: https://doi.org/10.1134/S0001433812040032

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