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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2023 Volume 26, Number 1, Pages 77–92 (Mi sjvm830)

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

An. G. Marchuk, E. D. Moskalenskii

Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk

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.

Key words: eikonal equation, tsunami, wave front, shallow water equations, wave energy.

UDC: 532.591

Received: 08.08.2020
Revised: 22.09.2022
Accepted: 23.11.2022

DOI: 10.15372/SJNM20230106



© Steklov Math. Inst. of RAS, 2024