Email this article Stability theory for a two-dimensional channel
- Authors: Troshkin O.V.1,2
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Affiliations:
- Scientific Research Institute of System Analysis, Federal Research Center
- Institute for Computer Aided Design
- Issue: Vol 57, No 8 (2017)
- Pages: 1320-1334
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179329
- DOI: https://doi.org/10.1134/S0965542517080115
- ID: 179329
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Abstract
A scheme for deriving conditions for the nonlinear stability of an ideal or viscous incompressible steady flow in a two-dimensional channel that is periodic in one direction is described. A lower bound for the main factor ensuring the stability of the Reynolds–Kolmogorov sinusoidal flow with no-slip conditions (short wavelength stability) is improved. A condition for the stability of a vortex strip modeling Richtmyer–Meshkov fluid vortices (long wavelength stability) is presented.
About the authors
O. V. Troshkin
Scientific Research Institute of System Analysis, Federal Research Center; Institute for Computer Aided Design
Author for correspondence.
Email: troshkin@icad.org.ru
Russian Federation, Moscow, 117218; Moscow, 123056
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