Email this article Predictor-Corrector Difference Scheme for Numerical Solution of the Euler and Navier–Stokes Equations
- Authors: Kovenya V.M.1,2, Eremin A.A.2
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Affiliations:
- Institute of Computational Technologies SB RAS
- Novosibirsk State University
- Issue: Vol 215, No 4 (2016)
- Pages: 484-498
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237628
- DOI: https://doi.org/10.1007/s10958-016-2853-7
- ID: 237628
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Abstract
We generalize optimal splitting schemes for numerical solving the Euler and Navier–Stokes equations in the curvilinear coordinates. We introduce a splitting of the equations, common in both divergence and nondivergence forms, that makes it possible to construct a class of economic difference schemes. The schemes are realized at fractional steps by scalar sweeps and have a large steady margin. The proposed algorithm is tested for stationary and nonstationary problems.
About the authors
V. M. Kovenya
Institute of Computational Technologies SB RAS; Novosibirsk State University
Author for correspondence.
Email: kovenya@ict.nsc.ru
Russian Federation, 6, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
A. A. Eremin
Novosibirsk State University
Email: kovenya@ict.nsc.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090
