title: Regression models for calculating state-to-state coefficients of the rate of vibrational energy exchanges
metadata.name: dc.contributor.author
metadata.value: Isakov, Andrey A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gorikhovskii, Viacheslav I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Melnik, Maksim Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-07-04T12:22:36Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-07-04T12:22:36Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Isakov A.A., Gorikhovskii V. I., Melnik M.Yu. Regression models for calculating state-to-state coefficients of the rate of vibrational energy exchanges. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 2, pp. 332–346. https://doi.org/10.21638/spbu01.2024.207 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45697
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper proposes an effective algorithm for solving problems of nonequilibrium gas
  dynamics taking into account detailed state-to-state vibrational kinetics. One of the
  problems of traditional methods is their high computational complexity, which requires
  a lot of time and memory. The work explored the possibilities of using relaxation rate
  prediction to improve the performance of numerical simulations of nonequilibrium oxygen
  flows instead of direct calculations. For this purpose, an approach based on nonlinear
  regression analysis was used, which made it possible to obtain computationally efficient
  approximation formulas for the energy exchange rate coefficients in the model of a forced
  harmonic oscillator, taking into account free rotations (FHO-FR), to significantly increase
  the calculation speed while maintaining accuracy, and to construct an optimized model
  FHO-FR-reg. Using the obtained regression formulas, numerical modeling was carried out,
  which made it possible to validate the model for the problem of oxygen flow behind an
  incident and reflected shock wave. A comparison between the forced harmonic oscillator
  (FHO) and FHO-FR models is not possible due to the high computational complexity of the second model. With the advent of a common approximation model, it became possible
  to compare simulation results for these models. Numerical calculations have shown that
  the FHO-FR-reg model gives values of gas-dynamic parameters close to the FHO model.
  The developed regression models make it possible to speed up the solution of the problem
  of modeling oxygen relaxation several times compared to other models of similar accuracy.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research by A. A. Isakov and V. I. Gorikhovskii was carried out with the financial support
  of St. Petersburg State University (project ID 94034084), by M. Yu.Melnik — with the support of
  Theoretical Physics and Mathematics Advancement Foundation «BASIS» (grant no. 22-1-1-17-3).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: vibrational relaxation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: state-to-state kinetics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shock wave
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization of numerical calculations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonlinear regression
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: machine learning
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Regression models for calculating state-to-state coefficients of the rate of vibrational energy exchanges
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 332-346.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45697/1/332-346.pdf
resources.format: Adobe PDF
resources.size: 588,39 kB