I. E. Kvasov, I. B. Petrov, F. B. Chelnokov, “Computation of wave processes in nonuniform 3D constructions”, Mat. Model., 21:5 (2009), 3

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Matematicheskoe modelirovanie, 2009, Volume 21, Number 5, Pages 3–9 (Mi mm2826)

This article is cited in 11 scientific papers (total in 11 papers)

Computation of wave processes in nonuniform 3D constructions

I. E. Kvasov, I. B. Petrov, F. B. Chelnokov

Moscow Institute of Physics and Technology (State University)

Full-text PDF (637 kB) Citations (11)

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Abstract: The purpose of the given article is research of character of the return wavefront caused by dispersion of elastic energy from cavity and crack zones in massive rocks. Numerical solutions of elastic wave transmission close to nonuniformities (cavities and cracks, characteristic for considered rocks) and also in housing and industrial constructions having essential nonumiformities (internal cavities – rooms) have been obtained.
Grid-characteristic method with formulation of boundary conditions on an interface between rock and cavity (or crack), and also on free surfaces in an explicit form is used in this article. The offered numerical method has a great generality and is suitable for research of processes of a flow about macroscopical barriers by seismic waves when it is impossible to neglect effects of shielding and diffraction.

Received: 31.10.2007

Bibliographic databases:

Language: Russian

Citation: I. E. Kvasov, I. B. Petrov, F. B. Chelnokov, “Computation of wave processes in nonuniform 3D constructions”, Mat. Model., 21:5 (2009), 3–9

Citation in format AMSBIB

\Bibitem{KvaPetChe09}

\by I.~E.~Kvasov, I.~B.~Petrov, F.~B.~Chelnokov

\paper Computation of wave processes in nonuniform 3D constructions

\jour Mat. Model.

\yr 2009

\vol 21

\issue 5

\pages 3--9

\mathnet{http://mi.mathnet.ru/mm2826}

\zmath{https://zbmath.org/?q=an:1177.74099}

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https://www.mathnet.ru/eng/mm2826

https://www.mathnet.ru/eng/mm/v21/i5/p3

This publication is cited in the following 11 articles:

Yu. A. Poveshchenko, V. A. Gasilov, V. O. Podryga, M. E. Ladonkina, A. S. Voloshin, D. S. Boykov, K. A. Beklemysheva, “Difference schemes of consistent approximation to stress-strain state and energy balance of medium”, Math. Models Comput. Simul., 12:2 (2020), 99–109
I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Math. Models Comput. Simul., 11:2 (2019), 226–246
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”, Comput. Math. Math. Phys., 57:11 (2017), 1771–1777
I. E. Kvasov, V. B. Leviant, I. B. Petrov, “Numerical study of wave propagation in porous media with the use of the grid-characteristic method”, Comput. Math. Math. Phys., 56:9 (2016), 1620–1630
A. V. Favorskaya, I. B. Petrov, V. I. Golubev, N. I. Khokhlov, “Chislennoe modelirovanie setochno-kharakteristicheskim metodom vozdeistviya zemletryasenii na sooruzheniya”, Matem. modelirovanie, 27:12 (2015), 109–120
I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, V. A. Miryaha, A. V. Sannikov, V. I. Golubev, “The monitoring state of a moving train using high performance systems and modern computational methods”, Math. Models Comput. Simul., 7:1 (2015), 51–61
I. B. Petrov, A. V. Favorskaya, A. V. Sannikov, I. E. Kvasov, “Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step”, Math. Models Comput. Simul., 5:5 (2013), 409–415
I. E. Kvasov, I. B. Petrov, “High-performance computer simulation of wave processes in geological media in seismic exploration”, Comput. Math. Math. Phys., 52:2 (2012), 302–313
V. I. Golubev, I. E. Kvasov, I. B. Petrov, “Influence of natural disasters on ground facilities”, Math. Models Comput. Simul., 4:2 (2012), 129–134
I. E. Kvasov, I. B. Petrov, “Numerical study of anisotropy of wave responses from fractured reservoir by grid-characteristic method”, Math. Models Comput. Simul., 4:3 (2012), 336–343
Golubev V.I., Kvasov I.E., Khokhlov N.I., Petrov I.B., “Chislennoe modelirovanie seismostoikosti zhilykh i promyshlennykh nazemnykh sooruzhenii”, Mezhdunarodnyi salon «Kompleksnaya bezopasnost», Izd-vo FGU VNII MChS, M., 2011, 215–218

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	672
Full-text PDF :	215
References:	88
First page:	10

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