RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 5, Pages 821–832 (Mi zvmmf10035)  

This article is cited in 14 scientific papers (total in 14 papers)

Grid-characteristic method on unstructured tetrahedral meshes

M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

Abstract: The goal of this paper is to develop a grid-characteristic method intended for high-performance computer systems and implemented on unstructured tetrahedral hierarchical meshes with the use of a multiple time step and high-order interpolation, including interpolation with a limiter, piecewise parabolic interpolation, and monotone interpolation. The method is designed for simulating complex three-dimensional dynamical processes in heterogeneous media. It involves accurately stated contact conditions and produces physically correct solutions of problems in seismology and seismic exploration. Hierarchical meshes make it possible to take into account numerous inhomogeneous inclusions (cracks, cavities, etc.) and to solve problems in a real-life formulation. The grid-characteristic method enables the use of a multiple time step. As a result, the computation time is considerably reduced and the efficiency of the method is raised. The method is parallelized on a computer cluster with an optimal use of system resources.

Key words: grid-characteristic method, high-order interpolation, unstructured tetrahedral meshes, seismology, seismic exploration, numerical simulation, high-performance computer systems, parallel algorithms, hierarchical meshes, multiple time step.

DOI: https://doi.org/10.7868/S0044466914050135

Full text: PDF file (1242 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2014, 54:5, 837–847

Bibliographic databases:

UDC: 519.63
Received: 14.02.2013

Citation: M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Grid-characteristic method on unstructured tetrahedral meshes”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 821–832; Comput. Math. Math. Phys., 54:5 (2014), 837–847

Citation in format AMSBIB
\Bibitem{MurPetSan14}
\by M.~V.~Muratov, I.~B.~Petrov, A.~V.~Sannikov, A.~V.~Favorskaya
\paper Grid-characteristic method on unstructured tetrahedral meshes
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2014
\vol 54
\issue 5
\pages 821--832
\mathnet{http://mi.mathnet.ru/zvmmf10035}
\crossref{https://doi.org/10.7868/S0044466914050135}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3211886}
\elib{http://elibrary.ru/item.asp?id=21418171}
\transl
\jour Comput. Math. Math. Phys.
\yr 2014
\vol 54
\issue 5
\pages 837--847
\crossref{https://doi.org/10.1134/S096554251405011X}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000336450500010}
\elib{http://elibrary.ru/item.asp?id=22168664}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84901622605}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf10035
  • http://mi.mathnet.ru/eng/zvmmf/v54/i5/p821

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


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

    This publication is cited in the following articles:
    1. I. B. Petrov, A. V. Favorskaya, A. V. Vasyukov, A. S. Ermakov, K. A. Beklemysheva, A. O. Kazakov, A. V. Novikov, “Numerical simulation of wave propagation in anisotropic media”, Dokl. Math., 90:3 (2014), 778–780  crossref  mathscinet  zmath  isi  elib  scopus
    2. I. B. Petrov, A. V. Favorskaya, M. V. Muratov, V. A. Biryukov, A. V. Sannikov, “Grid-characteristic method on unstructured tetrahedral grids”, Dokl. Math., 90:3 (2014), 781–783  crossref  mathscinet  zmath  isi  elib  scopus
    3. A. V. Favorskaya, I. B. Petrov, “The study of increased order grid-characteristic methods on unstructured grids”, Num. Anal. Appl., 9:2 (2016), 171–178  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. M. V. Muratov, I. B. Petrov, I. E. Kvasov, “Chislennoe reshenie zadach seismorazvedki v zonakh treschinovatykh rezervuarov”, Matem. modelirovanie, 28:7 (2016), 31–44  mathnet  elib
    5. I. Petrov, “Computational problems in arctic research”, International Conference on Computer Simulation in Physics and Beyond 2015, Journal of Physics Conference Series, 681, IOP Publishing Ltd, 2016, 012026  crossref  mathscinet  isi  scopus
    6. M. V. Muratov, I. B. Petrov, V. B. Levyant, “Razrabotka matematicheskikh modelei treschin dlya chislennogo resheniya zadach seismorazvedki s primeneniem setochno-kharakteristicheskogo metoda”, Kompyuternye issledovaniya i modelirovanie, 8:6 (2016), 911–925  mathnet  crossref
    7. V. I. Golubev, R. I. Gilyazutdinov, I. B. Petrov, N. I. Khokhlov, A. V. Vasyukov, “Simulation of dynamic processes in three-dimensional layered fractured media with the use of the grid-characteristic numerical method”, J. Appl. Mech. Tech. Phys., 58:3 (2017), 539–545  crossref  mathscinet  isi  scopus
    8. I. B. Petrov, “Vychislitelnye problemy modelirovaniya prirodnykh i industrialnykh protsessov v Arkticheskoi zone Rossiiskoi Federatsii”, Chebyshevskii sb., 18:3 (2017), 428–443  mathnet  crossref
    9. A. V. Favorskaya, I. B. Petrov, “Study of seismic isolation by full-wave numerical modeling”, Dokl. Earth Sci., 481:2 (2018), 1070–1072  mathnet  crossref  crossref  isi  scopus
    10. A. V. Favorskaya, “Interpolation on unstructured triangular grids”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 7–44  crossref  mathscinet  isi  scopus
    11. A. V. Favorskaya, “Interpolation on unstructured tetrahedral grids”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 45–73  crossref  mathscinet  isi  scopus
    12. A. V. Favorskaya, “Piecewise linear interpolation on unstructured tetrahedral grids”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 75–115  crossref  mathscinet  isi  scopus
    13. A. V. Favorskaya, M. S. Zhdanov, “Migration of elastic fields based on Kirchhoff and Rayleigh integrals”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 241–265  crossref  mathscinet  isi  scopus
    14. Petrov I.B. Muratov V M., “Mathematical Modeling of Spatial Wave Responses By Grid-Characteristic Method on Irregular Computational Meshes”, Lobachevskii J. Math., 40:4, SI (2019), 499–506  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:329
    Full text:71
    References:48
    First page:25

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020