I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017), 1804–1811; Comput. Math. Math. Phys., 57:11 (2017), 1771

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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 11, Pages 1804–1811
DOI: https://doi.org/10.7868/S0044466917110126 (Mi zvmmf10636)

This article is cited in 27 scientific papers (total in 27 papers)

Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves

I. B. Petrov^ab, A. V. Favorskaya^ab, N. I. Khokhlov^ab

^a Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, Russia
^b Institute for System Research, Russian Academy of Sciences

Full-text PDF (709 kB) Citations (27)

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DOI: https://doi.org/10.7868/S0044466917110126

Abstract: The grid-characteristic method on a sequence of embedded hierarchical grids is used to study the reflection and diffraction of elastic seismic waves propagating from an earthquake hypocenter to the Earth’s surface. More specifically, the destruction caused by seismic waves in complex heterogeneous structures, such as multi-story buildings, is analyzed. This study is based on computer modeling with the use of the grid-characteristic method, which provides a detailed description of wave processes in heterogeneous media, takes into account all types of emerging waves, and relies on algorithms that perform well on the boundaries of the integration domain and material interfaces. Applying a sequence of hierarchical grids makes it possible to simulate seismic wave propagation from an earthquake hypocenter to ground facilities of interest—multi-story buildings—and to investigate their seismic resistance.

Key words: system of wave equations, seismic waves, grid-characteristic method, numerical modeling, seismic resistance, hierarchical grids, heterogeneous media.

Funding agency	Grant number
Russian Science Foundation	17-71-20088

Received: 20.04.2016

English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 11, Pages 1771–1777
DOI: https://doi.org/10.1134/S0965542517110112

Bibliographic databases:

Document Type: Article

UDC: 519.634

Language: Russian

Citation: I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017), 1804–1811; Comput. Math. Math. Phys., 57:11 (2017), 1771–1777

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Citing articles in Google Scholar: Russian citations, English citations
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