流れの線形安定性の数値解析法

書誌事項

タイトル別名
  • Numerical Methods for Linear Stability Analysis of Fluid Flows
  • ナガレ ノ センケイ アンテイセイ ノ スウチ カイセキホウ

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説明

It was shown by Ruell and Takens that fluid motion can be chaotic with three distinct frequencies being aquired due to instabilities of flow. Thus, the instability of a steady flow is the first step to chaos and hence to turbulence. After overviewing the scenario of transitions of flow to turbulence briefly, we show four numerical methods to analyze the linear stability of steady flows: numerical simulation of a set of linear equations for a disturbance, successive over relaxation method, Arnoldi method, and shift and inverse power method. We discuss the merit of each numerical method together with some issues arising in numerical stability analyses of flow past a circular cylinder, taking it as an example.

収録刊行物

  • 応用数理

    応用数理 16 (4), 306-318, 2006

    一般社団法人 日本応用数理学会

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