Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 113-120
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A numerical algorithm for computing the runup of a solitary tsunami wave in the case of complex shoreline topography is proposed. The algorithm involves the construction of coordinate mappings that transform a uniform rectangular grid over a reference computational domain into a grid over a physical domain with mesh refinement near the shoreline. The application of such coordinate mappings makes it possible to substantially reduce the number of grid points and save computation time. The mathematical model is based on the shallow water equations, and the problem is solved using the large particle method. An actual example is used to illustrate the computation of a curvilinear grid and the inundation area configuration.
@article{ZVMMF_2015_55_1_a9,
author = {A. V. Kofanov and V. D. Liseikin and A. D. Rychkov},
title = {Application of coordinate transformations in numerical simulation of~tsunami runup by the large particle method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {113--120},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a9/}
}
TY - JOUR AU - A. V. Kofanov AU - V. D. Liseikin AU - A. D. Rychkov TI - Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 113 EP - 120 VL - 55 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a9/ LA - ru ID - ZVMMF_2015_55_1_a9 ER -
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A. V. Kofanov; V. D. Liseikin; A. D. Rychkov. Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 113-120. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a9/