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Tsunami wave simulation in the presense of a barrier. (English) Zbl 1524.86028

Summary: A tsunami is a series of waves that are generally caused by a vertical change in the seabed due to an earthquake beneath or on the seabed. Tsunamis usually strike coastal areas and result in damage to the shoreline, it can destroy buildings and roads and even take the lives of those who are in the area. One way to reduce the impact of a tsunami is to know the dangers of a tsunami, including natural signs. So, in this paper, it is shown by numerical simulation using the finite difference method, namely, by adding a barrier to the shallow water wave equation. The simulation results obtained in the presence of a barrier, show that the Tsunami waves are split due to hitting the barrier and experience a reduction in wave strength.

MSC:

86A15 Seismology (including tsunami modeling), earthquakes
65L12 Finite difference and finite volume methods for ordinary differential equations
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M20 Finite difference methods applied to problems in fluid mechanics

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