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Regularized shallow water equations for numerical simulation of flows with a moving shoreline

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Abstract

A numerical algorithm for simulating free-surface flows based on regularized shallow water equations is adapted to flows involving moving dry-bed areas. Well-balanced versions of the algorithm are constructed. Test computations of flows with dry-bed areas in the cases of water runup onto a plane beach and a constant-slope beach are presented. An example of tsunami simulation is given.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    O. V. Bulatov

  2. Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    T. G. Elizarova

Authors
  1. O. V. Bulatov
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  2. T. G. Elizarova
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Correspondence to T. G. Elizarova.

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Original Russian Text © O.V. Bulatov, T.G. Elizarova, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 4, pp. 665–684.

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Bulatov, O.V., Elizarova, T.G. Regularized shallow water equations for numerical simulation of flows with a moving shoreline. Comput. Math. and Math. Phys. 56, 661–679 (2016). https://doi.org/10.1134/S0965542516040047

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  • DOI: https://doi.org/10.1134/S0965542516040047

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