| Project/Area Number |
26310201
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 特設分野 |
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| Research Field |
Mathematical Sciences in Search of New Cooperation
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| Research Institution | Hokkaido University |
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Principal Investigator |
Inatsu Masaru 北海道大学, 理学研究院, 教授 (80422450)
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| Co-Investigator(Kenkyū-buntansha) |
中野 直人 京都大学, 国際高等教育院, 特定講師 (30612642)
荒井 迅 中部大学, 創発学術院, 教授 (80362432)
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| Co-Investigator(Renkei-kenkyūsha) |
Mukougawa Hitoshi 京都大学, 大学院理学研究科, 教授 (20261349)
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| Project Period (FY) |
2014-07-18 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2015: ¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000)
Fiscal Year 2014: ¥7,020,000 (Direct Cost: ¥5,400,000、Indirect Cost: ¥1,620,000)
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| Keywords | 温帯低気圧 / 数理科学 / 位相幾何学 / 数理気象学 / 予測可能性 / 力学系 / 画像解析 / 大気現象 / 数理物理 |
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| Outline of Final Research Achievements |
Meteorological low-frequency variability and prediction: A 5,000-yr integeration with an AGCM was conducted. We considered the relation between data-orbit manifold and 4-dimensional stochastic differential equation, focusing on the troposphere in boreal winter. After the breeding-growing-mode method was implemented in the AGCM, we compared multiple realisation in the long-term integration on the phase-space analysis with the initial-value growing.
Geometrical change of extratropical cyclones: We developed a brand-new cyclone tracking programme with persistent homology. By reconstructing data with merge-trees based on maxima and saddles of the scaler field, the neighbouring among homology classes were clarified. The cyclone identification with this algorithm is consistent with conventional meteorological analysis.
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