We present results of a stability analysis of the lid-driven cavity flow based on classical C 0 finite element discretizations of the Navier-Stokes system. Using arc length continuation and subspace iteration to compute the eigenvalues of the tangent operator, we study the dependence of the bifurcat
Numerical analysis of secondary instabilities of the incompressible boundary layer flow with suction
β Scribed by Jeun-Len Wu; Shaw-Ching Sheen; Shenq-Yuh Jaw
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 315 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
Based on the Euler-Maclaurin formula, a compact finite difference scheme is employed to solve a two-point boundary value problem for studying the secondary instabilities of the boundary layer flow. The parametric resonance of unstable waves is explored using the Floquet method. For both subharmonic and fundamental modes, two additional Fourier terms are added in the analysis, and the spatial growth rates are determined. The effect of suction mechanism on the secondary instability waves is also investigated. From numerical experiments, it is shown that the proposed numerical scheme is very promising.
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