scholarly journals Characteristics of a Secondary Instability in a Compressible Double Shear Layer

2005 ◽  
Vol 53 (615) ◽  
pp. 182-189 ◽  
Author(s):  
Mikiya Araki ◽  
Jun Osaka ◽  
Osamu Imamura ◽  
Mitsuhiro Tsue ◽  
Michikata Kono
2005 ◽  
Vol 53 (620) ◽  
pp. 408-413
Author(s):  
Mikiya Araki ◽  
Jun Osaka ◽  
Osamu Imamura ◽  
Mitsuhiro Tsue ◽  
Michikata Kono

2005 ◽  
Vol 53 (615) ◽  
pp. 174-181 ◽  
Author(s):  
Mikiya Araki ◽  
Jun Osaka ◽  
Osamu Imamura ◽  
Mitsuhiro Tsue ◽  
Michikata Kono

2021 ◽  
Author(s):  
Yu M. Kulikov ◽  
E. E. Son

Abstract This paper considers the canonical problem of a thin shear layer evolution at Reynolds number Re = 400000 using the novel Compact Accurately Boundary Adjusting high-Resolution Technique (CABARET). The study is focused on the effect of the specific mesh refinement in the high shear rate areas on the flow properties under the influence of the developing instability. The original sequence of computational meshes (256^2, 512^2, 1024^2, 2048^2 cells) is modified using an iterative refinement algorithm based on the hyperbolic tangent. The properties of the solutions obtained are discussed in terms of the initial momentum thickness and the initial vorticity thickness, viscous and dilatational dissipation rates and also integral enstrophy. The growth rate for the most unstable mode depending on the mesh resolution is considered. In conclusion the accuracy of calculated mesh functions is estimated via L1, L2, L∞ norms.


2014 ◽  
Vol 4 (6) ◽  
pp. 062001
Author(s):  
Wubing Yang ◽  
Qing Shen ◽  
Qiang Wang ◽  
Xiangjiang Yuan

2000 ◽  
Vol 12 (10) ◽  
pp. 2489 ◽  
Author(s):  
Jean Reinaud ◽  
Laurent Joly ◽  
Patrick Chassaing

1998 ◽  
Vol 368 ◽  
pp. 339-357 ◽  
Author(s):  
MARKUS HÖGBERG ◽  
DAN HENNINGSON

Linear eigenvalue calculations and spatial direct numerical simulations (DNS) of disturbance growth in Falkner–Skan–Cooke (FSC) boundary layers have been performed. The growth rates of the small-amplitude disturbances obtained from the DNS calculations show differences compared to linear local theory, i.e. non-parallel effects are present. With higher amplitude initial disturbances in the DNS calculations, saturated cross-flow vortices are obtained. In these vortices strong shear layers appear. When a small random disturbance is added to a saturated cross-flow vortex, a low-frequency mode is found located at the bottom shear layer of the cross-flow vortex and a high-frequency secondary instability is found at the upper shear layer of the cross-flow vortex. The growth rates of the secondary instabilities are found from detailed analysis of simulations of single-frequency disturbances. The low-frequency disturbance is amplified throughout the domain, but with a lower growth rate than the high-frequency disturbance, which is amplified only once the cross-flow vortices have started to saturate. The high-frequency disturbance has a growth rate that is considerably higher than the growth rates for the primary instabilities, and it is conjectured that the onset of the high-frequency instability is well correlated with the start of transition.


Author(s):  
Qing Shen ◽  
Fenggan Zhuang ◽  
Faming Guan ◽  
Qiang Wang ◽  
Xiangjiang Yuan

2000 ◽  
Vol 48 (556) ◽  
pp. 148-154 ◽  
Author(s):  
Mikiya ARAKI ◽  
Motoki HARADA ◽  
Yuichi OGURA ◽  
Seiji SHIBA ◽  
Keiichi OKAI ◽  
...  

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