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Temetos Software Platform and Its Applications in Problems of Continuum Mechanics

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Abstract

The Temetos platform is designed to conduct computational experiments at all stages of analysis and study of continuum mechanics models. A module has been developed to study the stress–strain state of a system of bodies with allowance for inelastic strains and contact interaction. It was used to analyze a fuel element that included up to 100 fuel pellets and a shell. The platform’s solvers are applied to astrophysics problems. Models of the formation of accretion disks in binary star systems that allow the interpretation of observation results are constructed.

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REFERENCES

  1. M. P. Galanin, M. M. Gorbunov-Posadov, A. V. Ermakov, V. V. Lukin, A. S. Rodin, and K. L. Shapovalov, “A prototype of an integrated software platform to support computational experiments in complex mathematical modeling problems,” Tr. Inst. Sist. Progr. Ross. Akad. Nauk 26 (3), 51–68 (2014). https://doi.org/10.15514/ISPRAS-2014-26(3)-2

  2. M. P. Galanin, V. V. Lukin, A. S. Rodin, and D. L. Sorokin, “Application of the Temetos software platform for the development of an electromagnetic accelerator simulation environment,” Preprint no. 44 (Moscow: Keldysh Inst. Appl. Math. Russ. Acad. Sci., 2018). https://doi.org/10.20948/prepr-2018-44

  3. V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of Continuum Mechanics and Electrodynamics (MGTU, Moscow, 2008) [in Russian].

    Google Scholar 

  4. P. Wriggers, Computational Contact Mechanics (Springer, Heidelberg, 2006). https://doi.org/10.1007/978-3-540-32609-0

  5. D. L. Hagrman and G. A. Reymann, A Handbook of Materials Properties for Use in the Analysis of Lightwater Reactor Fuel Rod Behavior (INEL, Idaho, 1979).

    Google Scholar 

  6. A. Toselli and O. Widlund, Domain Decomposition methods—Algorithms and Theory (Springer, Heidelberg, 2005). https://doi.org/10.1007/b137868

  7. M. P. Galanin and A. S. Rodin, “Investigation and application of the domain decomposition method for simulating fuel elements,” Comput. Math. Math. Phys. 62 (4), 641–657 (2022). https://doi.org/10.1134/S0965542522040078

    Article  MathSciNet  Google Scholar 

  8. M. Suzuki and H. Saitou, “Light water reactor fuel analysis code FEMAXI-6 (Ver.1); Detailed structure and user’s manual,” (JAEA, Tokai, 20060). https://doi.org/10.11484/JAEA-Data-Code-2005-003

  9. V. V. Lukin, K. L. Malanchev, N. I. Shakura, K. A. Postnov, V. M. Chechetkin, and V. P. Utrobin, “3D-modeling of accretion disc in eclipsing binary system V1239 Her,” Mon. Not. R. Astron. Soc. 467 (3), 2934–2942 (2017). https://doi.org/10.1093/mnras/stx309

    Article  CAS  ADS  Google Scholar 

  10. C. D. J. Savoury, S. P. Littlefair, V. S. Dhillon, T. R. Marsh, B. T. Gaensicke, C. M. Copperwheat, P. Kerry, R. D. G. Hickman, and S. G. Parsons, “Cataclysmic variables below the period gap: Mass determinations of 14 eclipsing systems,” Mon. Not. R. Astron. Soc. 415 (3), 2025–2041 (2011). https://doi.org/10.1111/j.1365-2966.2011.18707.x

    Article  ADS  Google Scholar 

  11. T. S. Khruzina, P. Y. Golysheva, N. A. Katysheva, S. Y. Shugarov, and N. I. Shakura, “The dwarf nova V1239 herculis in quiescence,” Astron. Rep. 59 (4), 288–312 (2015). https://doi.org/10.1134/S1063772915040034

    Article  ADS  Google Scholar 

  12. M. J. McAllister, S. P. Littlefair, I. Baraffe, V. S. Dhillon, T. R. Marsh, J. Bento, J. Bochinski, M. C. P. Bours, E. Breedt, C. M. Copperwheat, L. K. Hardy, P. Kerry, S. G. Parsons, J. W. Rostron, D. I. Sahman, C. D. J. Savoury, and R. L. Tunnicliffe, “PHL 1445: An eclipsing cataclysmic variable with a substellar donor near the period minimum,” Mon. Not. R. Astron. Soc. 451 (1), 114–125 (2015). https://doi.org/10.1093/mnras/stv956

  13. D. V. Bisikalo, A. A. Boyarchuk, V. M. Chechetkin, O. A. Kuznetsov, and D. Molteni, “Three-dimensional numerical simulation of gaseous flow structure in semidetached binaries,” Mon. Not. R. Astron. Soc. 300 (1), 39–48 (1998). https://doi.org/10.1046/j.1365-8711.1998.01815.x

    Article  CAS  ADS  Google Scholar 

  14. M. P. Galanin, V. V. Lukin, and V. M. Chechetkin, “3D hydrodynamical simulation of accretion disk in binary star system using RKDG CFD solver,” J. Phys. Conf. Ser. 1103, 012019 (2018). https://doi.org/10.1088/1742-6596/1103/1/012019

    Article  CAS  Google Scholar 

  15. L. D. Landau and E. M. Lifshitz, Theoretical Physics. Statistical Physics. Part I (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  16. E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Differential Equations. Part I. Nonstiff Problems (Springer-Verlag, Berlin–Heidelberg–New York–London–Paris–Tokyo, 1987; Mir, Moscow, 1990).

    Google Scholar 

  17. T. Nagae, K. Oka, T. Matsuda, H. Fujiwara, I. Hachisu, and H. M. J. Boffin, “Wind accretion in binary stars I. Mass accretion ratio,” Astron. Astrophys. 419, 335–343 (2004). https://doi.org/10.1051/0004-6361:20040070

    Article  CAS  ADS  Google Scholar 

  18. P. Yu. Golysheva, “Photometric studies of cataclysmic variables,” Cand. Sci. (Phys.-Math.) Dissertation, (Moscow State Univ. Moscow, 2020) [in Russian].

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Funding

This work was financially supported by the Russian Science Foundation, project no. 22-21-00260, https://rscf.ru/en/project/22-21-00260/.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047, Russia

    M. P. Galanin, V. V. Lukin & A. S. Rodin

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  1. M. P. Galanin
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  2. V. V. Lukin
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  3. A. S. Rodin
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Correspondence to M. P. Galanin, V. V. Lukin or A. S. Rodin.

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Translated by V. Potapchouck

CONFLICT OF INTEREST. The authors of this work declare that they have no conflicts of interest.

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Galanin, M.P., Lukin, V.V. & Rodin, A.S. Temetos Software Platform and Its Applications in Problems of Continuum Mechanics. J. Appl. Ind. Math. 17, 724–736 (2023). https://doi.org/10.1134/S199047892304004X

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