Research output: Contribution to journal › Article › peer-review
The splitting algorithm in finite volume method for numericai solving of Navier-Stokes equations of viscous incompressible fluids. / Kovenya, Viktor M.; Tarraf, Daniel.
In: Journal of Siberian Federal University - Mathematics and Physics, Vol. 14, No. 4, 14, 2021, p. 519-527.Research output: Contribution to journal › Article › peer-review
}
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