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Matematicheskoe modelirovanie, 2018, Volume 30, Number 2, Pages 110–118 (Mi mm3942)  

This article is cited in 4 scientific papers (total in 4 papers)

Discontinuous Galerkin method for ice strength investigation

V. A. Miryahaab, A. V. Sannikovb, V. A. Biryukovb, I. B. Petrovb

a Keldysh Institute of Applied Mathematics of RAS
b Moscow Institute of Physics and Technology
Full-text PDF (631 kB) Citations (4)
References:
Abstract: This paper discusses numerical modeling of various ice strength measurement experiments including uniaxial compression and bending as well as comparison of data obtained from numerical experiments with field ones. Numerical simulation is based on dynamic continuum mechanics system of equations with ice considered as elasto-plastic medium with brittle and crushing fracture dynamic criteria. Simulation software developed by the authors is based on discontinuous Galerkin method and runs on high-performance systems with distributed memory. Estimation of explicit values used by mathematical models poses a major problem because it is impossible to measure some of them in field experiments directly due to multiple physical processes interference. It is only possible to measure directly their total influence in practice. However, this problem may be solved by comparison of numerical experiment with field experiment data. As a result of this work, elasto-plastic ice model adequacy is discussed and some missing physical properties are obtained from numerical experiments.
Keywords: numerical simulation, discontinuous Galerkin method, elasto-plastic medium, ice strength.
Funding agency Grant number
Russian Science Foundation 14-11-00434
Received: 15.05.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 5, Pages 609–615
DOI: https://doi.org/10.1134/S2070048218050083
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Miryaha, A. V. Sannikov, V. A. Biryukov, I. B. Petrov, “Discontinuous Galerkin method for ice strength investigation”, Matem. Mod., 30:2 (2018), 110–118; Math. Models Comput. Simul., 10:5 (2018), 609–615
Citation in format AMSBIB
\Bibitem{MirSanBir18}
\by V.~A.~Miryaha, A.~V.~Sannikov, V.~A.~Biryukov, I.~B.~Petrov
\paper Discontinuous Galerkin method for ice strength investigation
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 2
\pages 110--118
\mathnet{http://mi.mathnet.ru/mm3942}
\elib{https://elibrary.ru/item.asp?id=32497620}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 5
\pages 609--615
\crossref{https://doi.org/10.1134/S2070048218050083}
Linking options:
  • https://www.mathnet.ru/eng/mm3942
  • https://www.mathnet.ru/eng/mm/v30/i2/p110
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:406
    Full-text PDF :138
    References:38
    First page:9
     
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