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Matematicheskoe modelirovanie, 2020, Volume 32, Number 10, Pages 119–134
DOI: https://doi.org/10.20948/mm-2020-10-09
(Mi mm4227)
 

This article is cited in 1 scientific paper (total in 1 paper)

Modeling wave processes by the particle dynamics method

D. Ya. Sukhanov, A. E. Kuzovova

Tomsk State University
Full-text PDF (618 kB) Citations (1)
References:
Abstract: We propose а method for the numerical simulation of acoustic processes, in solids representing a solid in the form of an array of particles in a cubic body-centered crystal lattice. Particle dynamics is described by Newton's equations of motion. It is shown that the developed numerical model allows one to describe resonance phenomena and the process of wave propagation. The results of modeling the resonant frequencies of an ultrasonic instrument by the proposed method and the finite element method in a COMSOL Multiphysics environment are compared. An experimental study of the resonant frequencies of an ultrasonic instrument showed that the numerical model correctly determines its resonant frequencies.
Keywords: acoustics, particle dynamics, Newton's law, COMSOL Multiphysics, cubic volume-centered crystal lattice, molecular dynamics method.
Received: 27.01.2020
Revised: 26.06.2020
Accepted: 06.07.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 3, Pages 532–542
DOI: https://doi.org/10.1134/S2070048221030170
Document Type: Article
Language: Russian
Citation: D. Ya. Sukhanov, A. E. Kuzovova, “Modeling wave processes by the particle dynamics method”, Matem. Mod., 32:10 (2020), 119–134; Math. Models Comput. Simul., 13:3 (2021), 532–542
Citation in format AMSBIB
\Bibitem{SukKuz20}
\by D.~Ya.~Sukhanov, A.~E.~Kuzovova
\paper Modeling wave processes by the particle dynamics method
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 10
\pages 119--134
\mathnet{http://mi.mathnet.ru/mm4227}
\crossref{https://doi.org/10.20948/mm-2020-10-09}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 3
\pages 532--542
\crossref{https://doi.org/10.1134/S2070048221030170}
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  • https://www.mathnet.ru/eng/mm/v32/i10/p119
  • This publication is cited in the following 1 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:445
    Full-text PDF :157
    References:58
    First page:17
     
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