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Article information
2013 , Volume 18, ¹ 3, p.46-53
Proskurin A.V., Sagalakov A.M.
The numerical investigation of the stability of the localized perturbation in Poiseuille flow
In this paper we propose a numerical method for examination of a general two-dimensional stability analysis. The method is based on solution of the eigenvalue problem for linear partial differential equations. Rvachev functions theory enables to construct the approximate solutions for regions of arbitrary geometry. Boundary conditions are satisfied exactly. Collocation method produce algebraic eigenvalue problem, that is solved by Krylov methods.
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Keywords: hydrodynamics stability, Poiseuille flow, partial differencial equations
Author(s):
Proskurin Alexander Viktorovich
PhD.
Office: Altai state technical university
Address: 656038, Russia, Barnaul, Lenin prospect 46
Phone Office: (385) 226-09-17
E-mail: k210@list.ru
Sagalakov Anatoly Mikhailovich
Dr. , Professor
Office: Altai state technical university
Address: 656038, Russia, Barnaul, Lenin prospect 46
Phone Office: (385) 226-09-17
E-mail: amsagalakov@mail.ru
Bibliography link:
Proskurin A.V., Sagalakov A.M. The numerical investigation of the stability of the localized perturbation in Poiseuille flow // Computational technologies. 2013. V. 18. ¹ 3. P. 46-53
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