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Matematicheskoe modelirovanie, 2016, Volume 28, Number 8, Pages 46–64 (Mi mm3757)  

This article is cited in 24 scientific papers (total in 24 papers)

Chemical kinetics simulation in gases

A. A. Belova, N. N. Kalitkinb, L. V. Kuzminab

a Lomonosov Moscow State University, Faculty of Physics, Moscow
b Keldysh Institute of Applied Mathematics of RAS, Moscow
References:
Abstract: Dependencies of rate constants on temperature have been derived from the laws of quantum mechanics. Chemical reference data have been found not to satisfy these laws. A way of adjusting the data has been proposed and hydrogen combustion constants have been adjusted as an example.
A special numerical method for chemical kinetics problems has been proposed. It is an explicit algorithm that considerably excels methods known in simplicity, precision, effectiveness and reliability.
Keywords: chemical kinetics, rate constants, hydrogen combustion, numerical method.
Funding agency Grant number
Russian Science Foundation 16-11-10001
Received: 21.10.2014
Revised: 21.12.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 1, Pages 24–39
DOI: https://doi.org/10.1134/S2070048217010057
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Belov, N. N. Kalitkin, L. V. Kuzmina, “Chemical kinetics simulation in gases”, Mat. Model., 28:8 (2016), 46–64; Math. Models Comput. Simul., 9:1 (2017), 24–39
Citation in format AMSBIB
\Bibitem{BelKalKuz16}
\by A.~A.~Belov, N.~N.~Kalitkin, L.~V.~Kuzmina
\paper Chemical kinetics simulation in gases
\jour Mat. Model.
\yr 2016
\vol 28
\issue 8
\pages 46--64
\mathnet{http://mi.mathnet.ru/mm3757}
\elib{https://elibrary.ru/item.asp?id=26604125}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 1
\pages 24--39
\crossref{https://doi.org/10.1134/S2070048217010057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85012030430}
Linking options:
  • https://www.mathnet.ru/eng/mm3757
  • https://www.mathnet.ru/eng/mm/v28/i8/p46
  • This publication is cited in the following 24 articles:
    1. P. A. Kuchugov, “Adaptivnoe izmenenie parametra fizicheskogo razresheniya v podkhode na osnove chastichno usrednennykh uravnenii Nave-Stoksa”, Preprinty IPM im. M. V. Keldysha, 2024, 068, 27 pp.  mathnet  crossref
    2. M. F. Danilov, “Evaluation of the Influence of Secondary Processes on the Results of the Measurement of Rate Constants of Gas-Phase Chemical Reactions”, Fluid Dyn, 59:5 (2024), 1511  crossref
    3. E. E. Peskova, V. N. Snytnikov, R. V. Zhalnin, “Vychislitelnyi algoritm dlya izucheniya vnutrennikh laminarnykh potokov mnogokomponentnogo gaza s raznomasshtabnymi khimicheskimi protsessami”, Kompyuternye issledovaniya i modelirovanie, 15:5 (2023), 1169–1187  mathnet  crossref
    4. Iuliia Mukhartova, Julia Kurbatova, Denis Tarasov, Ravil Gibadullin, Andrey Sogachev, Alexander Olchev, “Modeling Tool for Estimating Carbon Dioxide Fluxes over a Non-Uniform Boreal Peatland”, Atmosphere, 14:4 (2023), 625  crossref
    5. Dmitrii Andreevich Kim, Ilia Yurievich Vichev, Anna Dmitrievna Solomyannaya, Alexander Sergeevich Grushin, “Simulation of dense aluminum plasma under intense x-rays”, MathMon, 58 (2023), 68  crossref
    6. D.A. Kim, I.Yu. Vichev, A.D. Solomyannaya, A.S. Grushin, “Simulation of non-stationary neon plasma using the THERMOS toolkit”, High Energy Density Physics, 45 (2022), 101018  crossref
    7. Yulia Mukhartova, Oleg Postylyakov, Marina Davydova, Svetlana Zakharova, Adolfo Comerón, Evgueni I. Kassianov, Klaus Schäfer, Richard H. Picard, Konradin Weber, Upendra N. Singh, Remote Sensing of Clouds and the Atmosphere XXVI, 2021, 4  crossref
    8. E E Peskova, “Numerical modeling of subsonic axisymmetric reacting gas flows”, J. Phys.: Conf. Ser., 2057:1 (2021), 012071  crossref
    9. D. A. Kim, I. Yu. Vichev, A. D. Solomyannaya, A. S. Grushin, “Simulation of dense aluminum plasma under intense X-rays”, Keldysh Institute preprints, 2021, 97–15  mathnet  mathnet  crossref
    10. I. M. Gubaydullin, R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Numerical simulation of propane pyrolysis in a flow chemical reactor under the influence of constant external heating”, Math. Models Comput. Simul., 13:3 (2021), 437–444  mathnet  crossref  crossref
    11. R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Modeling the flow of multicomponent reactive gas on unstructured grids”, Eng. Technol. Syst., 30:1 (2020), 162–175  crossref  isi
    12. D. A. Kim, I. Yu. Vichev, A. D. Solomyannaya, A. S. Grushin, “THERMOS: Simulation of non-stationary neon plasma”, Keldysh Institute preprints, 2020, 58–16  mathnet  mathnet  crossref
    13. A. A. Belov, N. N. Kalitkin, P. E. Bulatov, E. K. Zholkovskii, “Explicit methods for integrating stiff Cauchy problems”, Dokl. Math., 99:2 (2019), 230–234  crossref  mathscinet  zmath  isi
    14. A. A. Belov, P. E. Bulatov, N. N. Kalitkin, “Sravnitelnyi analiz algoritmov avtomaticheskogo vybora shaga dlya zhestkikh zadach Koshi”, Preprinty IPM im. M. V. Keldysha, 2019, 146, 34 pp.  mathnet  crossref
    15. A. A. Belov, N. N. Kalitkin, “Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations”, Differ. Equ., 55:7 (2019), 871–883  crossref  mathscinet  zmath  isi  scopus
    16. Yu. V. Mukhartova, M. A. Davydova, N. F. Elansky, O. V. Postylyakov, S. A. Zakharova, A. N. Borovski, “On application of nonlinear reaction-diffusion-advection models to simulation of transport of chemically-active impurities”, Remote Sensing Technologies and Applications in Urban Environments Iv, Proceedings of Spie, 11157, eds. T. Erbertseder, N. Chrysoulakis, Y. Zhang, F. Baier, Spie-Int Soc Optical Engineering, 2019, UNSP 111570X  crossref  isi
    17. Evgenii Kuznetsov, Sergey Leonov, Katherine Tsapko, COMPUTATIONAL MECHANICS AND MODERN APPLIED SOFTWARE SYSTEMS (CMMASS'2019), 2181, COMPUTATIONAL MECHANICS AND MODERN APPLIED SOFTWARE SYSTEMS (CMMASS'2019), 2019, 020014  crossref
    18. P. E. Bulatov, A. A. Belov, N. N. Kalitkin, “Raschet khimicheskoi kinetiki yavnymi skhemami s geometricheski-adaptivnym vyborom shaga”, Preprinty IPM im. M. V. Keldysha, 2018, 173, 32 pp.  mathnet  crossref  elib
    19. A. Yu. Morozov, D. L. Reviznikov, V. Yu. Gidaspov, “kd-Tree based adaptive interpolation algorithm for chemical kinetics problems with interval parameters”, Math. Models Comput. Simul., 11:4 (2019), 622–633  mathnet  crossref
    20. E. B. Kuznetsov, S. S. Leonov, E. D. Tsapko, “The parametrization of the Cauchy problem for nonlinear differential equations with contrast structures”, Mordovia Univ. Bull., 28:4 (2018), 486–510  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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