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Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium. / Grigoryev, Yurii N.; Kovenya, Victor M.

In: Journal of Computational Technologies, Vol. 28, No. 2, 4, 2023, p. 42-57.

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

Harvard

Grigoryev, YN & Kovenya, VM 2023, 'Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium', Journal of Computational Technologies, vol. 28, no. 2, 4, pp. 42-57. https://doi.org/10.25743/ICT.2023.282.005

APA

Grigoryev, Y. N., & Kovenya, V. M. (2023). Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium. Journal of Computational Technologies, 28(2), 42-57. [4]. https://doi.org/10.25743/ICT.2023.282.005

Vancouver

Grigoryev YN, Kovenya VM. Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium. Journal of Computational Technologies. 2023;28(2):42-57. 4. doi: 10.25743/ICT.2023.282.005

Author

Grigoryev, Yurii N. ; Kovenya, Victor M. / Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium. In: Journal of Computational Technologies. 2023 ; Vol. 28, No. 2. pp. 42-57.

BibTeX

@article{c1224181f5564a67a29792ce21e48b03,
title = "Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium",
abstract = "The article addresses construction of economical finite-difference algorithms for spatial problems of hypersonic aerodynamics. A brief survey of modern models and algorithms used in this field is given. Their computational complexity due to the modelling of vibrational and chemical kinetics is examined. On the base of two-temperature model of a multicomponent dissociating gas new algorithms are constructed. The approximate factorization method or the predictor-corrector scheme with splitting of operators by physical processes and spatial directions are employed. Their realization at fractional steps to three-point scalar sweeps allows reducing number of arithmetic operations per grid node. Moreover, the number of operations increases linearly with the number of grid nodes and the number of equations. The proposed algorithms allow efficient parallelization.",
keywords = "approximate method of factorization, hypersonic aerodynamics, predictor-corrector scheme, spatial directions, splitting into physical processes, thermochemical nonequilibrium",
author = "Grigoryev, {Yurii N.} and Kovenya, {Victor M.}",
note = "The work was (grant No. 20-01-00168a).",
year = "2023",
doi = "10.25743/ICT.2023.282.005",
language = "English",
volume = "28",
pages = "42--57",
journal = "Вычислительные технологии",
issn = "1560-7534",
publisher = " Издательский центр Института вычислительных технологий СО РАН",
number = "2",

}

RIS

TY - JOUR

T1 - Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium

AU - Grigoryev, Yurii N.

AU - Kovenya, Victor M.

N1 - The work was (grant No. 20-01-00168a).

PY - 2023

Y1 - 2023

N2 - The article addresses construction of economical finite-difference algorithms for spatial problems of hypersonic aerodynamics. A brief survey of modern models and algorithms used in this field is given. Their computational complexity due to the modelling of vibrational and chemical kinetics is examined. On the base of two-temperature model of a multicomponent dissociating gas new algorithms are constructed. The approximate factorization method or the predictor-corrector scheme with splitting of operators by physical processes and spatial directions are employed. Their realization at fractional steps to three-point scalar sweeps allows reducing number of arithmetic operations per grid node. Moreover, the number of operations increases linearly with the number of grid nodes and the number of equations. The proposed algorithms allow efficient parallelization.

AB - The article addresses construction of economical finite-difference algorithms for spatial problems of hypersonic aerodynamics. A brief survey of modern models and algorithms used in this field is given. Their computational complexity due to the modelling of vibrational and chemical kinetics is examined. On the base of two-temperature model of a multicomponent dissociating gas new algorithms are constructed. The approximate factorization method or the predictor-corrector scheme with splitting of operators by physical processes and spatial directions are employed. Their realization at fractional steps to three-point scalar sweeps allows reducing number of arithmetic operations per grid node. Moreover, the number of operations increases linearly with the number of grid nodes and the number of equations. The proposed algorithms allow efficient parallelization.

KW - approximate method of factorization

KW - hypersonic aerodynamics

KW - predictor-corrector scheme

KW - spatial directions

KW - splitting into physical processes

KW - thermochemical nonequilibrium

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85165359325&origin=inward&txGid=f056b032341d03d1d27dd206c2874a39

UR - https://www.elibrary.ru/item.asp?id=53926689

UR - https://www.mendeley.com/catalogue/4b6d51e6-bfd5-39a2-8235-6412aeb7ef39/

U2 - 10.25743/ICT.2023.282.005

DO - 10.25743/ICT.2023.282.005

M3 - Article

VL - 28

SP - 42

EP - 57

JO - Вычислительные технологии

JF - Вычислительные технологии

SN - 1560-7534

IS - 2

M1 - 4

ER -

ID: 59126890