Geodesic
Generating boundary conditions for the tsunami propagation calculation on imbedded grids
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 3, pp. 315-331

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The boundary conditions that are used for the numerical modeling of the tsunami generation and propagation have been studied. This study focuses on the generating boundary conditions which make it possible to simulate the tsunami wave with desired characteristics (amplitude, time period and, generally speaking, waveform). Taking into account the fact that the water flow velocity in the propagating tsunami wave is uniquely determined by its height and the ocean depth, it is possible to simulate the wave which propagates inward from the boundary into the area of simulation. This can be done by setting the wave height and the water flow velocity over the boundary. By such a way the numerical modeling of the tsunami propagation from a source up to the coast was implemented on a sequence of refining grids. In the conducted numerical experiment, the wave parameters are transmitted from a bigger area into a subarea via boundary conditions. In addition, such a method allows generating a wave that has certain characteristics on a specified line. 
@article{SJVM_2018_21_3_a5,
     author = {K. Hayashi and An. Marchuk and A. Vazhenin},
     title = {Generating boundary conditions for the tsunami propagation calculation on imbedded grids},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {315--331},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_3_a5/}
}
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K. Hayashi; An. Marchuk; A. Vazhenin. Generating boundary conditions for the tsunami propagation calculation on imbedded grids. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 3, pp. 315-331. http://geodesic.mathdoc.fr/item/SJVM_2018_21_3_a5/