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: 背景

Adaptive meshによる2次元非粘性ブシネ近似方程式の有限時間発散シ ミュレーション
Simulation of finite time divergence in 2D Boussinesq equation by adaptive mesh code

○山田 良透(京大理)、宮下 尚(京大理)、藤 定義(京大理)、松本 剛 (京大理)
Yoshiyuki Yamada, MIYASHITA Hisashi, Sadayoshi Toh, and Tsuyoshi Matsumoto
Department of Physics, Kyoto University, Kyoto 606-8502, Japan

概要:

We investigete the possibility of finite time divergence in 2D inviscid fluid by an adaptive mesh code. We can use \(2^{21}\) grids in each direction effectively. Our results suggests that the temperature gradiant and voluticity diverges as \((t_0-t)^{-2}\) and \((t_0-t)^{-1}\) respectively. At the initial stage, temperature volticity seets is formed which is known to grow exponentially at most. We can observe the instability of the seat, which is considered as the source of finite time divergence.





Yoshiyuki Yamada 平成14年5月16日