The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 1, pp. 23-35
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In this paper, the kinematics of the tsunami wave ray and the wavefront above an uneven bottom is studied. The formula to determine the wave height along a ray tube has been obtained. The exact analytical solution for the wave-ray trajectory above the parabolic bottom topography has been derived. Within the wave-ray approach this solution gives the possibility to determine the tsunami wave heights in an area with a parabolic bottom relief. The distribution of the wave-height maxima in the area with the parabolic bottom was compared to the one obtained by the numerical computation with a shallow-water model.
@article{SJVM_2017_20_1_a2,
author = {An. G. Marchuk},
title = {The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {23--35},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_1_a2/}
}
TY - JOUR AU - An. G. Marchuk TI - The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2017 SP - 23 EP - 35 VL - 20 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2017_20_1_a2/ LA - ru ID - SJVM_2017_20_1_a2 ER -
%0 Journal Article %A An. G. Marchuk %T The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2017 %P 23-35 %V 20 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2017_20_1_a2/ %G ru %F SJVM_2017_20_1_a2
An. G. Marchuk. The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 1, pp. 23-35. http://geodesic.mathdoc.fr/item/SJVM_2017_20_1_a2/