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KIAM Preprint  129, Moscow, 2018
Authors: Boiko A.V., Demyanko K.V., Nechepurenko Yu.M.
Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries
Abstract:
A new approach to formulation of asymptotic boundary conditions for eigenvalue problems arising in numerical analysis of hydrodynamic stability of such shear flows as boundary layers, separations, jets, wakes, characterized by almost constant velocity of the main flow outside the shear layer or layers is proposed and justified. This approach makes it possible to formulate and solve completely the temporal and spatial stability problems in the locally parallel formulation, reducing them to the ordinary algebraic eigenvalue problems.
Keywords:
evolution equations of small disturbances, linearized Navier-Stokes equations, hydrodynamic stability, boundary layer, asymptotic boundary conditions
Publication language: russian,  pages: 27
Research direction:
Theoretical and applied problems of mechanics
Russian source text:
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About authors:
  • Boiko Andrey Vladislavovich, 
  • Demyanko Kirill Vyacheslavovich,  orcid.org/0000-0003-1132-1953,  ; . ..
  • Nechepurenko Yuri Mikhailovich,  ,  ; . ..