Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 46659 ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Explicit asymptotics for tsunami waves in framework of the piston model Explicit asymptotics for tsunami waves in framework of the piston model Dobrokhotov S Yu Dobrokhotov S Yu Sekerzh-Zenkovich S Ya Sekerzh-Zenkovich S Ya Tirozzi B Tirozzi B Volkov B Volkov B Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ru Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ru Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ru Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ru Department of Physics, University "La Sapienza", Rome, Italy ru Department of Physics, University "La Sapienza", Rome, Italy ru Department of Physics, Moscow State University, Moscow, Russia ru Department of Physics, Moscow State University, Moscow, Russia ru 8 4 1 12 29 10 2021 https://rjes.ru/en/nauka/article/46659/view

An asymptotically numerical description of tsunami waves propagation in a basin with non-uniform depth in a neighborhood of wavefronts that can have caustics is proposed. The piston model and the long wave approximation are used. It is assumed that the size of the area of the initial disturbance is small in comparison both with the characteristic length of interval of the varying of the bottom depth and the distance from the observation point. The description is based on a generalization of asymptotic approach known as the Maslov canonical operator. We find formulas that are relatively simple and can be transformed in a computer program for fast calculating wave profiles. Some features of the tsunami waves propagation in basins of non-uniform depth are illustrated by graphics.

An asymptotically numerical description of tsunami waves propagation in a basin with non-uniform depth in a neighborhood of wavefronts that can have caustics is proposed. The piston model and the long wave approximation are used. It is assumed that the size of the area of the initial disturbance is small in comparison both with the characteristic length of interval of the varying of the bottom depth and the distance from the observation point. The description is based on a generalization of asymptotic approach known as the Maslov canonical operator. We find formulas that are relatively simple and can be transformed in a computer program for fast calculating wave profiles. Some features of the tsunami waves propagation in basins of non-uniform depth are illustrated by graphics.

 tsunami asymptotics dispersion-less piston model wavefront wave-profile. tsunami asymptotics dispersion-less piston model wavefront wave-profile.

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