Linear instability of the lid-driven flow in a cubic cavity

Primary instability of the lid-driven flow in a cube is studied by a linear stability approach. Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal plane, are considered. It is shown that Krylov vectors required for application of the Newton and Arnoldi iterat...

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Bibliographic Details
Published in:Theoretical and computational fluid dynamics 2019-02, Vol.33 (1), p.59-82
Main Author: Gelfgat, Alexander Yu
Format: Article
Language:English
Subjects:
Aircraft
Analysis
Classical and Continuum Physics
Computational fluid dynamics
Computational Science and Engineering
Engineering
Engineering Fluid Dynamics
Flow (Dynamics)
Flow pattern
Flow stability
Fluid dynamics
Fluid flow
Instability
Iterative methods
Original Article
Reynolds number
Three dimensional flow
Vectors
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Summary:Primary instability of the lid-driven flow in a cube is studied by a linear stability approach. Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal plane, are considered. It is shown that Krylov vectors required for application of the Newton and Arnoldi iteration methods can be evaluated by the SIMPLE procedure. The finite volume grid is gradually refined from 100 3 to 256 3 nodes. The computations result in grid converging values of the critical Reynolds number and oscillation frequency that allow for Richardson extrapolation to the zero grid size. Three-dimensional flow and most unstable perturbations are visualized by a recently proposed approach that allows for a better insight into the flow patterns and appearance of the instability. New arguments regarding the assumption that the centrifugal mechanism triggers the instability are given for both cases.
ISSN:0935-4964
1432-2250
DOI:10.1007/s00162-019-00483-1