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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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
- shallow water equations
- finite volume method
- well-balanced condition
- flow with dry-bed areas
- tsunami wave