| Co-Investigator(Kenkyū-buntansha) |
中澤 嵩 大阪大学, 数理・データ科学教育研究センター, 准教授 (20726765)
米田 剛 一橋大学, 大学院経済学研究科, 教授 (30619086)
SHEN Amy 沖縄科学技術大学院大学, マイクロ・バイオ・ナノ流体ユニット, 教授 (70740314)
佐藤 勝彦 北海道大学, 電子科学研究所, 准教授 (90513622)
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| Budget Amount *help |
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2021: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2019: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2018: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
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| Outline of Final Research Achievements |
We have presented a second-order temporal approximation of the upper-convected time derivative based on an idea of the generalized Lie derivative with the Lagrangian coordinate. This approximation technique can also be applied to the constitutive equation obtained by the logarithm transformation. The results are important for the future development of numerical methods for viscoelastic fluid flows in the research field of numerical analysis. In addition, in the PTT model, one of the Oldroyd-B type models, an asymmetry has been observed in the flow around the cylinder as the Weissenberg number increased. The results indicate that more complex phenomena may occur in high Weissenberg number flows.
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