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Numerical Analysis and Applications

2023 year, number 1

The source configuration leading to the accumulation of tsunami wave energy around the round island

An.G. Marchuk, E.D. Moskalensky
Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Keywords: eikonal equation, tsunami, wave front, shallow water equations, wave energy

Abstract

A two-dimensional eikonal equation which describes the propagation of tsunami wave fronts is considered. The paper presents the spatial form of an initial source of waves which causes accumulation of wave energy along the coastline of a round island. The theoretical results are confirmed by numerical simulation with a shallow water model of tsunami wave dynamics.