Flow pattern formation in thermal convections appearing in earth and planetary sciences

2010 Fiscal Year Self-evaluation Report

• Project/Area Number: 20340018
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kyoto University
• Principal Investigator: YAMADA Michio Kyoto University, 数理解析研究所, 教授 (90166736)
• Project Period (FY): 2008 – 2011
• Keywords: 熱対流 / 球殻内対流 / 回転流体 / 安定性 / 分岐図

Research Abstract

回転球殻内のブシネスク熱対流のパターン形成問題を,主に数値解析的手法を用いて研究する.この系は,地球や惑星の内部対流を扱うための代表的数理モデルである
ここでは,臨界パラメータ値から分岐する本質的に3次元構造を伴う熱対流解について,解の性格,安定性を調べ,分岐構造を数値的に求めることにより,球殻内熱対流の性質を研究する
また球殻内対流の興味の一つは,外側境界である球表面付近に誘起される流れのパターンにもあるため,巨大惑星を念頭において,球表面付近に安定成層が存在する場合についても表面に誘起される流れの性質を研究する

Research Products

• [Journal Article] Retrograde equatorial surface flows generated by thermal convection confined under a stably stratified layer in a rapidly rotating spherical shell (2011)
  • Author(s): S.Takehiro, M.Yamada, Y.-Y.Hayashi
  • Journal Title: Geophysical and Astrophysical Fluid Dynamics 105 Pages: 61-81
  • Peer Reviewed
• [Journal Article] Amplitude-phase synchronization at the onset of permanent spatiotemporal chaos (2010)
  • Author(s): A.Chian, R.Miranda, E.Rempel, Y.Saiki, M.Yamada
  • Journal Title: Physical Review Letters 104 Pages: 254102:1-4
  • Peer Reviewed
• [Journal Article] Long-time asymptotic states of forced two-dimensional barotropicincompressible flows on a rotating sphere (2010)
  • Author(s): K.Obuse, S.Takehiro, M.Yamada
  • Journal Title: Physics of Fluids 22 Pages: 05601:1-9
  • Peer Reviewed
• [Journal Article] Stability of flow on a rotating polar cap (2009)
  • Author(s): Y.Taniguchi, H.Kitauchi, M.Yamada
  • Journal Title: Fluid Dynamics Research 41 Pages: 045511:1-16
  • Peer Reviewed
• [Journal Article] Time averaged properties along unstable periodic orbits and chaotic orbits in ordinary differential equation systems (2009)
  • Author(s): Y.Saiki, M.Yamada
  • Journal Title: Physical Review E 79 Pages: 015201:1-4
  • Peer Reviewed
• [Presentation] Bifurcation structure of zonal flow solutions on a rotating sphere (2010)
  • Author(s): E.Sasaki, S.Takehiro, M.Yamada
  • Organizer: Dynamics Days Europe 2010
  • Place of Presentation: Univ.of Bristol (UK).
  • Year and Date: 2010-09-09
• [Presentation] Covariant Lyapunov analysis of chaotic Kolmogorov flows (2010)
  • Author(s): M.Inubushi, S.Takehiro, M.Yamada
  • Organizer: Dynamics Dyas Europe 2010
  • Place of Presentation: Univ.of Bristol (UK).
  • Year and Date: 2010-09-09
• [Presentation] Stability and bifurcation diagram of Boussinesq thermal convection in a rotating spherical shell (2010)
  • Author(s): K.Kimura, S.Takehiro, M.Yamada
  • Organizer: 12^<th> Symposium of Study of the Earth's Deeps Interior (SEDI)
  • Place of Presentation: Univ.of California (USA).
  • Year and Date: 2010-07-21
• [Presentation] A characterization of a temporal intermittency of the GOY shell model turbulence (2010)
  • Author(s): U.U.Kobayashi, M.Yamada
  • Organizer: Dynamics Days Asia- Pacific 6
  • Place of Presentation: Sydney (Australia).
  • Year and Date: 2010-07-12
• [Presentation] Time averaged properties along unstable orbits in some systems of ordinary differential equations (2009)
  • Author(s): Y.Saiki, M.Yamada
  • Organizer: Dynamics Days 2009
  • Place of Presentation: Sandiego (USA).
  • Year and Date: 20090000