Standard

The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids. / Kovenya, Viktor M.; Tarraf, Daniel.

в: Journal of Siberian Federal University - Mathematics and Physics, Том 14, № 4, 14, 2021, стр. 519-527.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Kovenya, VM & Tarraf, D 2021, 'The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids', Journal of Siberian Federal University - Mathematics and Physics, Том. 14, № 4, 14, стр. 519-527. https://doi.org/10.17516/1997-1397-2021-14-4-519-527

APA

Vancouver

Kovenya VM, Tarraf D. The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids. Journal of Siberian Federal University - Mathematics and Physics. 2021;14(4):519-527. 14. doi: 10.17516/1997-1397-2021-14-4-519-527

Author

Kovenya, Viktor M. ; Tarraf, Daniel. / The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids. в: Journal of Siberian Federal University - Mathematics and Physics. 2021 ; Том 14, № 4. стр. 519-527.

BibTeX

@article{ce01a5adad0941478521698611b39f5c,
title = "The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids",
abstract = "For the numerical solution of the Navier-Stokes equations, written in an integral form, an implicit of finite-volume algorithm is proposed, which is a generalization of previously proposed differences schemes. Using the integral form of equations allowed to ensure its conservatism, and the technology of splitting — the economy of the algorithm. The numerical test of the algorithm on the exact solution, in problems about the viscosity flow in the cavern with a moving lid and the current of the heated walls of the channel, confirmed the sufficient accuracy of the algorithm and its effectiveness. The work is presented in the issue of the memory of Prof. Yu. Ya. Belov.",
keywords = "Finite-volume method, Navier-stokes equations, Splitting algorithms, Viscous flows",
author = "Kovenya, {Viktor M.} and Daniel Tarraf",
note = "Publisher Copyright: {\textcopyright} Siberian Federal University. All rights reserved.",
year = "2021",
doi = "10.17516/1997-1397-2021-14-4-519-527",
language = "English",
volume = "14",
pages = "519--527",
journal = "Journal of Siberian Federal University - Mathematics and Physics",
issn = "1997-1397",
publisher = "Siberian Federal University",
number = "4",

}

RIS

TY - JOUR

T1 - The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids

AU - Kovenya, Viktor M.

AU - Tarraf, Daniel

N1 - Publisher Copyright: © Siberian Federal University. All rights reserved.

PY - 2021

Y1 - 2021

N2 - For the numerical solution of the Navier-Stokes equations, written in an integral form, an implicit of finite-volume algorithm is proposed, which is a generalization of previously proposed differences schemes. Using the integral form of equations allowed to ensure its conservatism, and the technology of splitting — the economy of the algorithm. The numerical test of the algorithm on the exact solution, in problems about the viscosity flow in the cavern with a moving lid and the current of the heated walls of the channel, confirmed the sufficient accuracy of the algorithm and its effectiveness. The work is presented in the issue of the memory of Prof. Yu. Ya. Belov.

AB - For the numerical solution of the Navier-Stokes equations, written in an integral form, an implicit of finite-volume algorithm is proposed, which is a generalization of previously proposed differences schemes. Using the integral form of equations allowed to ensure its conservatism, and the technology of splitting — the economy of the algorithm. The numerical test of the algorithm on the exact solution, in problems about the viscosity flow in the cavern with a moving lid and the current of the heated walls of the channel, confirmed the sufficient accuracy of the algorithm and its effectiveness. The work is presented in the issue of the memory of Prof. Yu. Ya. Belov.

KW - Finite-volume method

KW - Navier-stokes equations

KW - Splitting algorithms

KW - Viscous flows

UR - http://www.scopus.com/inward/record.url?scp=85115158326&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=46403003

U2 - 10.17516/1997-1397-2021-14-4-519-527

DO - 10.17516/1997-1397-2021-14-4-519-527

M3 - Article

AN - SCOPUS:85115158326

VL - 14

SP - 519

EP - 527

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

SN - 1997-1397

IS - 4

M1 - 14

ER -

ID: 34258476