Mathematical and physical study of moving boundary problems for the Boltzmann equation
| Project/Area Number |
23360048
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
AOKI KAZUO 京都大学, 工学(系)研究科(研究院), 教授 (10115777)
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| Co-Investigator(Kenkyū-buntansha) |
KOSUGE Shingo 京都大学, 大学院工学研究科, 助教 (40335188)
NISHIBATA Shinya 東京工業大学, 大学院情報理工学研究科, 教授 (80279299)
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| Research Collaborator |
FILBET Francis リヨン第1大学(フランス), 教授
GOLSE Francois エコール・ポリテクニク(フランス), 教授
MARKOWICH Peter ケンブリッジ大学(イギリス), 教授
PULVIRENTI Mario ローマ第1大学(イタリア), 教授
VILLANI Cedric アンリ・ポアンカレ研究所(フランス), 所長
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| Project Period (FY) |
2011-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥20,670,000 (Direct Cost: ¥15,900,000、Indirect Cost: ¥4,770,000)
Fiscal Year 2013: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2012: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2011: ¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000)
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| Keywords | ボルツマン方程式 / 移動境界問題 / クヌーセン層 / 希薄気体力学 / すべり境界条件 |
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| Research Abstract |
The behavior of a gas in microscales and in low-pressure circumstances when the boundary is moving arbitrarily was investigated numerically on the basis of molecular gas dynamics. In particular, the singularities in the molecular velocity distribution function caused by the motion of the boundary were clarified, and a numerical method that is able to capture the singularities was constructed. The method was applied to various fundamental problems, such as the propagation of nonlinear acoustic waves and the decay of a pendulum in the gas.
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Report
(4 results)
Research Products
(53 results)
