The source configuration leading to the accumulation of tsunami wave energy around the round island
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 1, pp. 77-92.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{SJVM_2023_26_1_a5,
     author = {An. G. Marchuk and E. D. Moskalenskii},
     title = {The source configuration leading to the accumulation of tsunami wave energy around the round island},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {77--92},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2023_26_1_a5/}
}
TY  - JOUR
AU  - An. G. Marchuk
AU  - E. D. Moskalenskii
TI  - The source configuration leading to the accumulation of tsunami wave energy around the round island
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2023
SP  - 77
EP  - 92
VL  - 26
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2023_26_1_a5/
LA  - ru
ID  - SJVM_2023_26_1_a5
ER  - 
%0 Journal Article
%A An. G. Marchuk
%A E. D. Moskalenskii
%T The source configuration leading to the accumulation of tsunami wave energy around the round island
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2023
%P 77-92
%V 26
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2023_26_1_a5/
%G ru
%F SJVM_2023_26_1_a5
An. G. Marchuk; E. D. Moskalenskii. The source configuration leading to the accumulation of tsunami wave energy around the round island. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 1, pp. 77-92. http://geodesic.mathdoc.fr/item/SJVM_2023_26_1_a5/

[1] Murti T.S., Seismicheskie morskie volny tsunami, Gidrometeoizdat, L., 1981

[2] Fryer G.J., Watts P., Pratson L.F. Source of the tsunami of 1 April 1946: A landslide in the upper Aleutian forearc, J. Marine Geology, 203 (2004), 201–218

[3] Mader C., “Modeling the 1958 Lituya bay mega-tsunami”, Science of Tsunami Hazards, 17:1 (1999), 57–67

[4] Stoker Dzh.Dzh., Volny na vode, Izd-vo inostr. lit., M., 1959

[5] Borovskikh A.V., “Dvumernoe uravnenie eikonala”, Sib. mat. zhurnal, 47:5 (2006), 993–1018

[6] Rashevskii P.K., Kurs differentsialnoi geometrii, Izd-vo LKI, M., 2008

[7] Savelov A.A., Ploskie krivye. Sistematika, svoistva, primenenie, LIBROKOM, M., 2010

[8] Ikonnikova L.N., Yaroshenya R.A., “Raschet refraktsii voln tsunami dlya Tikhookeanskogo poberezhya SSSR”, Teoreticheskie i eksperimentalnye issledovaniya po probleme tsunami, Nauka, M., 1977, 420–427

[9] Dobrokhotov S.Yu., Zhevandrov P.N., “Raschet volnovykh dvizhenii v okeane nad peremennym dnom metodom Maslova”, Issledovaniya tsunami, 1, M., 1986, 73–79

[10] Satake K., “Effects of bathymetry on tsunami propagation: Application of ray tracing to tsunamis”, Pure and Applied Geophysics, 126:1 (1988), 27–36

[11] Marchuk An.G., Metody rascheta pryamykh i obratnykh zadach kinematiki tsunami, Nauka, Novosibirsk, 2019

[12] Marchuk An.G., Vasiliev G.S., “The fast method for a rough tsunami amplitude estimation”, Bull. Novosibirsk Comp. Center. Ser. Math. Model. in Geoph. Novosibirsk, 2014, no. 17, 21–34

[13] Titov V.V., Gonzalez F., Implementation and Testing of the Method of Splitting Tsunami (MOST) Model, NOAA Technical Memorandum ERL PMEL-112, Washington DC, 1997

[14] Dantzig G., “On the shortest route through a network”, Management Science, 6:2 (1960), 187–190

[15] Marchuk An.G., “Chislennye metody rascheta kinematiki voln tsunami”, Matematicheskie problemy geofiziki: Chislennye issledovaniya geofizicheskikh zadach, Novosibirsk, 1988, 69–90

[16] Marchuk A.G., “Volnovaya energiya tsunami”, Vestnik NGU. Seriya: Informatsionnye tekhnologii, 18:4 (2020), 39–53 | DOI

[17] Fujima K., Yuliadi D., Goto C., et al., “Characteristics of long waves trapped by conical Island”, Coastal Engineering in Japan, 38:2 (1995), 111–132