Geodesic
The assessment of tsunami heights above the bottom slope within the wave-ray approach
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 377-388

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In this paper, the kinematics of the tsunami wave ray and wave front above an uneven bottom is studied. The formula to determine the wave height along a ray tube is obtained. The exact analytical solution for the wave-ray trajectory above the bottom slope is derived. This solution gives the possibility to determine within the wave-ray approach the tsunami wave heights in an area with a sloping bottom relief. The distribution of the wave-height maxima in the area with the sloping bottom is compared to the one obtained by the numerical computation with a shallow-water model. 
@article{SJVM_2015_18_4_a3,
     author = {An. G. Marchuk},
     title = {The assessment of tsunami heights above the bottom slope within the wave-ray approach},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {377--388},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a3/}
}
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An. G. Marchuk. The assessment of tsunami heights above the bottom slope within the wave-ray approach. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 377-388. http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a3/