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Numerical investigation of evolution of disturbances in supersonic sharp cone boundary layers

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Abstract

The spatial evolution of 2-D disturbances in supersonic sharp cone boundary layers was investigated by direct numerical simulation (DNS) in high order compact difference scheme. The results suggested that, although the normal velocity in the sharp cone boundary layer was not small, the evolution of amplitude and phase for small amplitude disturbances would be well in accordance with the results obtained by the linear stability theory (LST) which supposes the flow was parallel. The evolution of some finite amplitude disturbances was also investigated, and the characteristic of the evolution was shown. Shocklets were also found when the amplitude of disturbances increased over some value.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, P.R. China

    Dong Ming  (董明), Luo Ji-sheng Doctor  (罗纪生) (Professor) & Cao Wei  (曹伟)

Authors
  1. Dong Ming  (董明)
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  2. Luo Ji-sheng Doctor  (罗纪生)
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  3. Cao Wei  (曹伟)
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Corresponding author

Correspondence to Luo Ji-sheng Doctor  (罗纪生).

Additional information

Contributed by LUO Ji-sheng

Project supported by the National Natural Science Foundation of China (Nos. 10232020 and 90205021) and the Special Foundation for the Authors of National Excellent Doctoral Dissertations (No.200328)

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Dong, M., Luo, Js. & Cao, W. Numerical investigation of evolution of disturbances in supersonic sharp cone boundary layers. Appl Math Mech 27, 713–719 (2006). https://doi.org/10.1007/s10483-006-0601-1

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  • DOI: https://doi.org/10.1007/s10483-006-0601-1

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Chinese Library Classification

2000 Mathematics Subject Classification

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