Splitting algoritphms for numerical solution of Navier — Stokes equations in fluid dynamics problems

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Splitting algoritphms for numerical solution of Navier — Stokes equations in fluid dynamics problems. / Kovenya, V. M.

In: Journal of Applied Mechanics and Technical Physics, Vol. 62, No. 3, 05.2021, p. 391-400.

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

BibTeX

@article{a175c59eed1749ecb879fcdcc98704a6,

title = "Splitting algoritphms for numerical solution of Navier — Stokes equations in fluid dynamics problems",

abstract = "Implicit finite-volume predictor-corrector algorithms based on the splitting method are proposed for the numerical solution of the Navier — Stokes equations written in integral form for a compressible gas, and the properties of these algorithms are investigated. An economical algorithm for splitting equations into physical processes and spatial variables is considered. Numerical solutions of two-dimensional and spatial fluid dynamics problems are determined and compared with the known computational results. It can be concluded on the basis of the estimates obtained and calculations performed that the proposed algorithms are effective.",

keywords = "finite-volume schemes, Navier — Stokes equations, splitting algorithms, supersonic flows",

author = "Kovenya, {V. M.}",

note = "Funding Information: This work was partially funded by the Russian Foundation of Fundamental Research (Grant No. 20-01-00168). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = may,

doi = "10.1134/S0021894421030056",

language = "English",

volume = "62",

pages = "391--400",

journal = "Journal of Applied Mechanics and Technical Physics",

issn = "0021-8944",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Splitting algoritphms for numerical solution of Navier — Stokes equations in fluid dynamics problems

AU - Kovenya, V. M.

PY - 2021/5

Y1 - 2021/5

N2 - Implicit finite-volume predictor-corrector algorithms based on the splitting method are proposed for the numerical solution of the Navier — Stokes equations written in integral form for a compressible gas, and the properties of these algorithms are investigated. An economical algorithm for splitting equations into physical processes and spatial variables is considered. Numerical solutions of two-dimensional and spatial fluid dynamics problems are determined and compared with the known computational results. It can be concluded on the basis of the estimates obtained and calculations performed that the proposed algorithms are effective.

AB - Implicit finite-volume predictor-corrector algorithms based on the splitting method are proposed for the numerical solution of the Navier — Stokes equations written in integral form for a compressible gas, and the properties of these algorithms are investigated. An economical algorithm for splitting equations into physical processes and spatial variables is considered. Numerical solutions of two-dimensional and spatial fluid dynamics problems are determined and compared with the known computational results. It can be concluded on the basis of the estimates obtained and calculations performed that the proposed algorithms are effective.

KW - finite-volume schemes

KW - Navier — Stokes equations

KW - splitting algorithms

KW - supersonic flows

UR - http://www.scopus.com/inward/record.url?scp=85114693203&partnerID=8YFLogxK

U2 - 10.1134/S0021894421030056

DO - 10.1134/S0021894421030056

M3 - Article

AN - SCOPUS:85114693203

VL - 62

SP - 391

EP - 400

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 3

ER -

ID: 34208779