Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Economical finite-difference algorithms for spatial hypersonic flows of a multicomponent gas with thermochemical nonequilibrium. / Grigoryev, Yurii N.; Kovenya, Victor M.
в: Journal of Computational Technologies, Том 28, № 2, 4, 2023, стр. 42-57.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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