会議発表論文 円筒容器内渦崩壊現象のフル三次元シミュレーション

山田, 健翔  ,  鈴木, 宏二郎  ,  Yamada, Kento  ,  Suzuki, Kojiro

内容記述
Because of the singularity of the center axis, there is difficulty to accurately simulate a flow close to the axis. Vortex breakdown is known as a typical phenomenon, which takes place near the axis, and then, it is significantly important to resolve the flow around the axis. In this paper, a fully three-dimensional incompressible flow was simulated in a cylindrical coordinate system by a staggered mesh without artificial viscosity. In such a configuration, solving a radial momentum equation on the axis is required but it has singularity on the axis. Here, the singularity was removed by L’Hospital’s rule and the radial momentum equation was solved on the axis. In order to prevent the radial velocity component on the axis from a multi-value function, single-valued-reconstruction was applied. Under these considerations, a swirling flow in a closed cylinder with a rotating bottom was numerically simulated and the flow structure of a vortex breakdown, which was a bubble type, was examined. Although our result showed non-zero velocity in the radial direction on the axis, it reduced to a machine zero as the continuity equation converges. At last, it was shown that the topology of a bubble-type vortex breakdown lead to that of an axisymmetric spherical vortex (a spheromak).
会議情報: 第49回流体力学講演会/第35回航空宇宙数値シミュレーション技術シンポジウム (2017年6月28日-30日. 国立オリンピック記念青少年総合センター), 渋谷区, 東京
形態: カラー図版あり
Meeting Information: 49th Fluid Dynamics Conference /the 35th Aerospace Numerical Simulation Symposium (June 28-30, 2017. National Olympics Memorial Youth Center), Shibuya-ku, Tokyo, Japan
Physical characteristics: Original contains color illustrations
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https://repository.exst.jaxa.jp/dspace/bitstream/a-is/865300/1/AA1730011014.pdf

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