Standard

Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method. / Kustova, E.; Алексеев, Илья Владимирович.

In: Vestnik St. Petersburg University: Mathematics, Vol. 53, No. 3, 01.07.2020, p. 344-350.

Research output: Contribution to journal › Article › peer-review

Harvard

Kustova, E & Алексеев, ИВ 2020, 'Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method', Vestnik St. Petersburg University: Mathematics, vol. 53, no. 3, pp. 344-350. https://doi.org/10.1134/S1063454120030024

APA

Kustova, E., & Алексеев, И. В. (2020). Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method. Vestnik St. Petersburg University: Mathematics, 53(3), 344-350. https://doi.org/10.1134/S1063454120030024

Vancouver

Kustova E, Алексеев ИВ. Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method. Vestnik St. Petersburg University: Mathematics. 2020 Jul 1;53(3):344-350. https://doi.org/10.1134/S1063454120030024

Author

Kustova, E. ; Алексеев, Илья Владимирович. / Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method. In: Vestnik St. Petersburg University: Mathematics. 2020 ; Vol. 53, No. 3. pp. 344-350.

BibTeX

@article{14d3d090db65446c91cdb25ccd07a32d,
title = "Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method",
abstract = "Abstract: An efficient numerical tool for studying shock waves in viscous carbon dioxide flows is proposed. The developed theoretical model is based on the kinetic theory formalism and is free of common limitations such as constant specific heat ratio, approximate analytical expressions for thermodynamic functions and transport coefficients. The thermal conductivity, viscosity and bulk viscosity coefficients are expressed in terms of temperature, collision integrals and internal energy relaxation times. Precomputed in the wide temperature range thermodynamic functions and transport coefficients are implemented to the numerical code which is used for the simulations of the shock wave structure. Including the bulk viscosity to the kinetic model results in the increasing shock width and improves the agreement with experimental data.",
keywords = "shock wave, carbon dioxide, finite volume method, shock wave, carbon dioxide, finite volume method",
author = "E. Kustova and Алексеев, {Илья Владимирович}",
year = "2020",
month = jul,
day = "1",
doi = "10.1134/S1063454120030024",
language = "English",
volume = "53",
pages = "344--350",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method

AU - Kustova, E.

AU - Алексеев, Илья Владимирович

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Abstract: An efficient numerical tool for studying shock waves in viscous carbon dioxide flows is proposed. The developed theoretical model is based on the kinetic theory formalism and is free of common limitations such as constant specific heat ratio, approximate analytical expressions for thermodynamic functions and transport coefficients. The thermal conductivity, viscosity and bulk viscosity coefficients are expressed in terms of temperature, collision integrals and internal energy relaxation times. Precomputed in the wide temperature range thermodynamic functions and transport coefficients are implemented to the numerical code which is used for the simulations of the shock wave structure. Including the bulk viscosity to the kinetic model results in the increasing shock width and improves the agreement with experimental data.

AB - Abstract: An efficient numerical tool for studying shock waves in viscous carbon dioxide flows is proposed. The developed theoretical model is based on the kinetic theory formalism and is free of common limitations such as constant specific heat ratio, approximate analytical expressions for thermodynamic functions and transport coefficients. The thermal conductivity, viscosity and bulk viscosity coefficients are expressed in terms of temperature, collision integrals and internal energy relaxation times. Precomputed in the wide temperature range thermodynamic functions and transport coefficients are implemented to the numerical code which is used for the simulations of the shock wave structure. Including the bulk viscosity to the kinetic model results in the increasing shock width and improves the agreement with experimental data.

KW - shock wave, carbon dioxide, finite volume method

KW - shock wave

KW - carbon dioxide

KW - finite volume method

UR - http://www.scopus.com/inward/record.url?scp=85090050172&partnerID=8YFLogxK

U2 - 10.1134/S1063454120030024

DO - 10.1134/S1063454120030024

M3 - Article

AN - SCOPUS:85090050172

VL - 53

SP - 344

EP - 350

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 62081663