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.

About the authors

O. V. Bulatov

Faculty of Physics

Email: telizar@mail.ru
Russian Federation, Moscow, 119991

T. G. Elizarova

Institute of Applied Mathematics

Author for correspondence.
Email: telizar@mail.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047

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