| Project/Area Number |
19540147
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
USHIJIMA Takeo Tokyo University of Science, 理工学部, 准教授 (30339113)
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| Co-Investigator(Kenkyū-buntansha) |
ISHIWATA Tetsuya 芝浦工業大学, システム理工学部, 准教授 (50334917)
YAZAKI Shigetoshi 宮崎大学, 工学部, 准教授 (00323874)
YAMAZAKI Taeko 東京理科大学, 理工学部, 教授 (60220315)
OGAWA Masao 東京理科大学, 理工学部, 助教 (50408704)
WATANABE Michiyuki 新潟大学, 教育学部, 准教授 (90374181)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 移動境界問題 / 直接法 / 数値解析 / クリスタライン・アルゴリズム / クリスタライン曲率流 |
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| Research Abstract |
Interfaces or moving boundaries among several phases often arise in many important physical phenomena like bubble motion in fluid, melting ice, crystal growth, and so on. To study such phenomena, numerical simulation is an indispensable tool. We investigated so-called crystalline algorithm, which is one of direct numerical methods for moving boundary problems. We generalized this method and as a result obtained a powerful numerical tool for moving boundary problem. We also solved several related problems. Moreover, we studied their applications.
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