2011 Fiscal Year Final Research Report
Flow pattern formation in a geophysical thermal convection system
| Project/Area Number |
20340018
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University |
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Principal Investigator |
YAMADA Michio 京都大学, 数理解析研究所, 教授 (90166736)
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| Co-Investigator(Kenkyū-buntansha) |
OKAMOTO Hisashi 京都大学, 数理解析研究所, 教授 (40143359)
TAKEHIRO Shin-ichi 京都大学, 数理解析研究所, 准教授 (30274426)
HAYASHI Yoshi-yuki 神戸大学, 理学研究科, 教授 (20180979)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 応用数学 / 流体 / 熱対流 |
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| Research Abstract |
Thermal convection in a rotating spherical shell, typical in earth and planetary sciences, is studied with an attention focused on its dependence on the angular velocities of the inner and the outer boundaries and on the temperature difference between the boundaries. The bifurcation diagram is obtained, where the zonal phase velocity of the convection pattern is found to change its direction, and its physical interpretation is given in terms of the vorticity dynamics and weakly nonlinear theory. Dynamical interaction between the boundaries and the fluid is also studied to find the differential rotation and chaotic behaviors of the boundaries.
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