Application of Splitting Algorithms in the Method of Finite Volumes for Numerical Solution of the Navier–Stokes Equations
- Authors: Kovenya V.M.1, Babintsev P.V.1
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Affiliations:
- Institute of Computational Technologies
- Issue: Vol 12, No 3 (2018)
- Pages: 479-491
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213088
- DOI: https://doi.org/10.1134/S1990478918030080
- ID: 213088
Cite item
Abstract
We generalize the splitting algorithms proposed earlier for the construction of efficient difference schemes to the finite volume method. For numerical solution of the Euler and Navier–Stokes equations written in integral form, some implicit finite-volume predictor-corrector scheme of the second order of approximation is proposed. At the predictor stage, the introduction of various forms of splitting is considered, which makes it possible to reduce the solution of the original system to separate solution of individual equations at fractional steps and to ensure some stability margin of the algorithm as a whole. The algorithm of splitting with respect to physical processes and spatial directions is numerically tested. The properties of the algorithm are under study and we proved its effectiveness for solving two-dimensional and three-dimensional flow-around problems.
About the authors
V. M. Kovenya
Institute of Computational Technologies
Author for correspondence.
Email: kovenya@ict.nsc.ru
Russian Federation, pr. Lavrent’eva 6, Novosibirsk, 630090
P. V. Babintsev
Institute of Computational Technologies
Email: kovenya@ict.nsc.ru
Russian Federation, pr. Lavrent’eva 6, Novosibirsk, 630090