Interval models of nonequilibrium physicochemical processes

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The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by different researchers. The difference may reach tens or hundreds of times. Interval uncertainties are proposed to account for these differences in models. Such problems with interval parameters are solved using the previously developed adaptive interpolation algorithm. On the example of modelling the combustion of a hydrogen-oxygen mixture, the effect of uncertainties on the reaction process is demonstrated. One-dimensional nonequilibrium flow in a rocket engine nozzle with different nozzle shapes, including a nozzle with two constrictions, in which a standing detonation wave can arise, is simulated. A numerical study of the effect of uncertainties on the structure of the detonation wave, as well as on steadyystate flow parameters, such as the ignition delay time and the concentration of harmful substances at the nozzle exit, is performed.

作者简介

Alexander Morozov

Federal Research Center Computer Science and Control of the Russian Academy of Sciences; Moscow Aviation Institute (National Research University)

Email: morozov@infway.ru
ORCID iD: 0000-0003-0364-8665
Scopus 作者 ID: 57203389215
Researcher ID: ABC-7836-2021

Doctor of Physical and Mathematical Sciences, Senior Researcher, Department of Mathematical Modeling of Heterogeneous Systems, Federal Research Center Computer Science and Control of the Russian Academy of Sciences; Associate Professor of the Department of Computational Mathematics and Programming, Moscow Aviation Insti- tute (National Research University)

44-2 Vavilova St, Moscow, 119333, Russian Federation; 4 Volokolamskoe Highway, Moscow, 125993, Russian Federation

Dmitry Reviznikov

Federal Research Center Computer Science and Control of the Russian Academy of Sciences; Moscow Aviation Institute (National Research University)

Email: reviznikov@mai.ru
ORCID iD: 0000-0003-0998-7975
Scopus 作者 ID: 6602701797
Researcher ID: T-4571-2018

Doctor of Physical and Mathematical Sciences, Professor, Leading Researcher, Department of Math- ematical Modeling of Heterogeneous Systems, Federal Research Center Computer Science and Control of the Russian Academy of Sciences; Professor of the Department of Computational Mathematics and Programming, Moscow Aviation Institute (National Research University)

44-2 Vavilova St, Moscow, 119333, Russian Federation; 4 Volokolamskoe Highway, Moscow, 125993, Russian Federation

Vladimir Gidaspov

Moscow Aviation Institute (National Research University)

编辑信件的主要联系方式.
Email: gidaspov@mai.ru
ORCID iD: 0000-0002-5119-4488
Scopus 作者 ID: 6506396733
Researcher ID: B-4572-2019

Doctor of Physical and Mathematical Sciences, Associate Professor, Professor of the Department of Computational Mathematics and Programming

4 Volokolamskoe Highway, Moscow, 125993, Russian Federation

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