Theoretical prediction of subcritical transition to turbulence using homoclinic orbits

• Project/Area Number: 26630055
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Fluid engineering
• Research Institution: Osaka University
• Principal Investigator: Kawahara Genta 大阪大学, 基礎工学研究科, 教授 (50214672)
• Co-Investigator(Kenkyū-buntansha): 清水 雅樹 大阪大学, 基礎工学研究科, 助教 (20550304)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 乱流 / 亜臨界乱流遷移

Outline of Final Research Achievements

In pipe flow the streamwise-localized periodic edge state found by Avila et al. was reproduced by a shooting method. In plane Poiseuille flow the streamwise- and spanwise-localized periodic edge state found by Zammert and Eckhardt was recomputed by a shooting method as well as a Newton-Krylov method. We have succeeded in the theoretical description of a transition route to turbulence through the growth of a turbulent puff or a turbulent spot in terms of the unstable manifold of these spatially localized edge states. We have also discovered a periodic edge state representing a turbulent band in plane Poiseuille flow as well as a steady traveling-wave edge state corresponding to a turbulent puff or a turbulent spot in rectangular-duct flow.

Research Products

• [Int'l Joint Research] マドリード工科大学(スペイン)
• [Int'l Joint Research] カールスルーエ工科大学(ドイツ)
• [Int'l Joint Research] オンタリオ工科大学(カナダ)
• [Int'l Joint Research] CNRS(フランス)
• [Int'l Joint Research] IST(オーストリア)
• [Int'l Joint Research] マドリード工科大学(スペイン)
• [Int'l Joint Research] カールスルーエ工科大学(ドイツ)
• [Int'l Joint Research] ロンドン市立大学(英国)
• [Int'l Joint Research] オンタリオ工科大学(カナダ)
• [Int'l Joint Research] CNRS(フランス)
• [Journal Article] Unstable periodic orbits in plane Couette flow with the Smagorinsky model (2016)
  • Author(s): Eiichi Sasaki, Genta Kawahara, Atsushi Sekimoto and Javier Jimenez
  • Journal Title: Journal of Physics: Conference Series Volume: 708 Pages: 012003-012003
  • DOI: 10.1088/1742-6596/708/1/012003
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Localized turbulence structures in transitional rectangular-duct flow (2015)
  • Author(s): Keisuke Takeishi, Genta Kawahara, Hiroki Wakabayashia, Markus Uhlmann, Alfredo Pinelli
  • Journal Title: Journal of Fluid Mechanics Volume: 782 Pages: 368-379
  • DOI: 10.1017/jfm.2015.546
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Turbulent mixing in a precessing sphere (2015)
  • Author(s): Susumu Goto, Masaki Shimizu, Genta Kawahara
  • Journal Title: Physics of Fluids Volume: 26 Issue: 11 Pages: 115106-115106
  • DOI: 10.1063/1.4901449
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Splitting of a turbulent puff in pipe flow (2014)
  • Author(s): Masaki Shimizu, Paul Manneville, Yohann Duguet, Genta Kawahara
  • Journal Title: Fluid Dynamics Research Volume: 46 Issue: 6 Pages: 061403-061403
  • DOI: 10.1088/0169-5983/46/6/061403
  • Peer Reviewed / Open Access
• [Journal Article] Quasi-cyclic evolution of turbulence driven by a steady force in a periodic cube (2014)
  • Author(s): Tatsuya Yasuda, Susumu Goto, Genta Kawahara
  • Journal Title: Fluid Dynamics Research Volume: 46 Issue: 6 Pages: 061413-061413
  • DOI: 10.1088/0169-5983/46/6/061413
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] Periodic solutions representing the origin of turbulent bands in channel flow (2017)
  • Author(s): Genta Kawahara
  • Organizer: KITP Conference: Recurrence, Self-Organization, and the Dynamics of Turbulence
  • Place of Presentation: サンタバーバラ（アメリカ）
  • Year and Date: 2017-01-09
  • Int'l Joint Research / Invited
• [Presentation] チャネル流における局在斜め乱構造の維持機構 (2016)
  • Author(s): 金澤昂弘, 清水雅樹, 河原源太
  • Organizer: 日本機械学会第94期流体工学部門講演会
  • Place of Presentation: 山口大学（山口県・宇部市）
  • Year and Date: 2016-11-12
• [Presentation] 機械学習を用いた平面クエット乱流における低次元力学系の構築 (2016)
  • Author(s): 清水雅樹, 河原源太
  • Organizer: 日本機械学会第94期流体工学部門講演会
  • Place of Presentation: 山口大学（山口県・宇部市）
  • Year and Date: 2016-11-12
• [Presentation] 高レイノルズ数乱流における正方形ダクト二次流れ (2016)
  • Author(s): 森下誠，清水雅樹, 河原源太
  • Organizer: 日本機械学会第94期流体工学部門講演会
  • Place of Presentation: 山口大学（山口県・宇部市）
  • Year and Date: 2016-11-12
• [Presentation] 矩形ダクト流における局在乱構造の成長過程 (2016)
  • Author(s): 福田拓生，河原源太
  • Organizer: 日本機械学会第94期流体工学部門講演会
  • Place of Presentation: 山口大学（山口県・宇部市）
  • Year and Date: 2016-11-12
• [Presentation] チャネル流における局在乱れの平衡状態 (2016)
  • Author(s): 金澤昂弘, 清水雅樹, 河原源太
  • Organizer: 日本流体力学会年会2016
  • Place of Presentation: 名古屋工業大学（愛知県・名古屋市）
  • Year and Date: 2016-09-26
• [Presentation] LES平行平板間Couette流における不安定周期解の分岐構造 (2016)
  • Author(s): 佐々木英一，河原源太，ヒメネス ハビエル
  • Organizer: 日本流体力学会年会2016
  • Place of Presentation: 名古屋工業大学（愛知県・名古屋市）
  • Year and Date: 2016-09-26
• [Presentation] 円管流における過渡的乱流パフの発生過程 (2016)
  • Author(s): 清水雅樹, 河原源太
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 金沢大学（石川県・金沢市）
  • Year and Date: 2016-09-13
• [Presentation] チャネル流における局在斜め乱流構造 (2016)
  • Author(s): 金澤昂弘, 清水雅樹, 河原源太
  • Organizer: 日本物理学会2016年秋季大会
  • Place of Presentation: 金沢大学（石川県・金沢市）
  • Year and Date: 2016-09-13
• [Presentation] Optimization of forced convection heat transfer by using a variational method (2016)
  • Author(s): Shingo Motoki, Masaki Shimizu, Genta Kawahara
  • Organizer: 11th European Fluid Mechanics Conference
  • Place of Presentation: セビリア（スペイン）
  • Year and Date: 2016-09-12
  • Int'l Joint Research
• [Presentation] レイリー・ベナール・ポアズイユ乱流における熱・運動量輸送 (2016)
  • Author(s): 渡邊大記，河原源太，清水雅樹
  • Organizer: 日本機械学会2016年度年次大会
  • Place of Presentation: 九州大学（福岡県・福岡市）
  • Year and Date: 2016-09-12
• [Presentation] 変分原理を用いた強制対流熱伝達の最適化 (2016)
  • Author(s): 本木慎吾，河原源太，清水雅樹
  • Organizer: 日本機械学会2016年度年次大会
  • Place of Presentation: 九州大学（福岡県・福岡市）
  • Year and Date: 2016-09-12
• [Presentation] Unstable periodic orbits in LES plane Couette flow (2016)
  • Author(s): Eiichi Sasaki, Genta Kawahara, Javier Jimenez
  • Organizer: RIMS Camp-Style Seminar: Dynamics of wall-bounded shear flows
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-08-31
  • Int'l Joint Research
• [Presentation] Bifurcation to a transient turbulent puff in pipe flow (2016)
  • Author(s): Masaki Shimizu, Genta Kawahara, Naoto Onishi
  • Organizer: RIMS Camp-Style Seminar: Dynamics of wall-bounded shear flows
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-08-31
  • Int'l Joint Research
• [Presentation] Optimization of heat transfer enhancement in wall-bounded shear flow (2016)
  • Author(s): Shingo Motoki, Genta Kawahara, Masaki Shimizu
  • Organizer: RIMS Camp-Style Seminar: Dynamics of wall-bounded shear flows
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-08-31
  • Int'l Joint Research
• [Presentation] Exponential increase of the lifetime with the number of coherent structures (2016)
  • Author(s): Takahiro Kanazawa, Masaki Shimizu, Genta Kawahara
  • Organizer: 24th International Congress of Theoretical and Applied Mechanics
  • Place of Presentation: モントリオール（カナダ）
  • Year and Date: 2016-08-21
  • Int'l Joint Research
• [Presentation] Optimization of heat transfer in plane Couette flow (2016)
  • Author(s): Shingo Motoki, Masaki Shimizu, Genta Kawahara
  • Organizer: 5th International Conference of Continuous Optimization
  • Place of Presentation: 政策研究大学院大学（東京都・港区）
  • Year and Date: 2016-08-06
  • Int'l Joint Research / Invited
• [Presentation] 多孔質チャネル乱流の構造と非相似的熱・運動量輸送 (2016)
  • Author(s): 河原源太，長谷川久晃，ウルマン マルクス，加藤健司
  • Organizer: RIMS研究集会 高レイノルズ数の流れを記述するモデルの数理
  • Place of Presentation: 京都大学（京都府・京都市）
  • Year and Date: 2016-07-13
• [Presentation] Dimension reduction method by machine learning for turbulent plane Couette flow (2016)
  • Author(s): Masaki Shimizu, Genta Kawahara
  • Organizer: International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-06-28
  • Int'l Joint Research / Invited
• [Presentation] Bifurcation of unstable periodic orbits in plane Couette flow with the Smagorinsky model (2016)
  • Author(s): Eiichi Sasaki, Genta Kawahara, Javier Jimenez
  • Organizer: International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-06-28
  • Int'l Joint Research / Invited
• [Presentation] Optimal heat transfer enhancement in wall-bounded shear flow (2016)
  • Author(s): Shingo Motoki, Genta Kawahara, Masaki Shimizu
  • Organizer: International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies
  • Place of Presentation: 関西セミナーハウス（京都府・京都市）
  • Year and Date: 2016-06-28
  • Int'l Joint Research / Invited
• [Presentation] Onset of chaotic reversals in thermal convection (2016)
  • Author(s): Kentaro Cho, Masaki Shimizu, Genta Kawahara
  • Organizer: International Symposium on Near-Wall Flows: Transition and Turbulence
  • Place of Presentation: 京都大学（京都府・京都市）
  • Year and Date: 2016-06-20
  • Int'l Joint Research
• [Presentation] Strong dependence of the lifetime with the domain size in plane channel flow (2016)
  • Author(s): Takahiro Kanazawa, Masaki Shimizu, Genta Kawahara
  • Organizer: International Symposium on Near-Wall Flows: Transition and Turbulence
  • Place of Presentation: 京都大学（京都府・京都市）
  • Year and Date: 2016-06-20
  • Int'l Joint Research
• [Presentation] Upper bound for heat transfer in plane Couette flow (2016)
  • Author(s): Shingo Motoki, Genta Kawahara, Masaki Shimizu
  • Organizer: International Symposium on Near-Wall Flows: Transition and Turbulence
  • Place of Presentation: 京都大学（京都府・京都市）
  • Year and Date: 2016-06-20
  • Int'l Joint Research
• [Presentation] An unprecedented turbulent state in plane Couette flow (2016)
  • Author(s): Daiki Watanabe, Genta Kawahara, Masaki Shimizu
  • Organizer: International Symposium on Near-Wall Flows: Transition and Turbulence
  • Place of Presentation: 京都大学（京都府・京都市）
  • Year and Date: 2016-06-20
  • Int'l Joint Research
• [Presentation] 多孔質チャネル乱流における非相似的な熱運動量輸送 (2016)
  • Author(s): 河原源太, 長谷川久晃, ウルマン マルクス, 加藤健司
  • Organizer: 第53回日本伝熱シンポジウム
  • Place of Presentation: グランキューブ大阪（大阪府・大阪市）
  • Year and Date: 2016-05-24
• [Presentation] 平行平板間クエット流れにおける最適熱輸送 (2016)
  • Author(s): 本木慎吾，清水雅樹，河原源太
  • Organizer: 第53回日本伝熱シンポジウム
  • Place of Presentation: グランキューブ大阪（大阪府・大阪市）
  • Year and Date: 2016-05-24
• [Presentation] Onset of thermal convection in wall-bounded turbulent shear flows (2016)
  • Author(s): Genta Kawahara, Daiki Watanabe, Masaki Shimizu
  • Organizer: 第58回乱流遷移の解明と制御研究会
  • Place of Presentation: 首都大学東京（東京）
  • Year and Date: 2016-03-21
• [Presentation] 機械学習を用いた乱流計算の低次元化方法 (2016)
  • Author(s): 清水雅樹，河原源太
  • Organizer: 日本物理学会第71回年次大会
  • Place of Presentation: 東北学院大学（宮城）
  • Year and Date: 2016-03-19
• [Presentation] Smagorinskyモデルにおける平面Couette流の分岐 (2016)
  • Author(s): 佐々木英一, 河原源太
  • Organizer: 日本物理学会第71回年次大会
  • Place of Presentation: 東北学院大学（宮城）
  • Year and Date: 2016-03-19
• [Presentation] Bifurcation structure of plane Couette flow with the Smagorinsky model (2016)
  • Author(s): Eiichi Sasaki
  • Organizer: Extreme events and criticality in fluid mechanics: computations and analysis
  • Place of Presentation: University of Toronto（カナダ）
  • Year and Date: 2016-01-25
  • Int'l Joint Research / Invited
• [Presentation] Optimal heat transfer enhancement in plane Couette flow (2016)
  • Author(s): Genta Kawahara
  • Organizer: Extreme events and criticality in fluid mechanics: computations and analysis
  • Place of Presentation: University of Toronto（カナダ）
  • Year and Date: 2016-01-25
  • Int'l Joint Research / Invited
• [Presentation] An attempt at theoretical identification of the onset of transient turbulence in wall-bounded shear flows (2016)
  • Author(s): Genta Kawahara
  • Organizer: IST Seminar
  • Place of Presentation: ウィーン（オーストリア）
  • Invited
• [Presentation] 貫通壁を有するチャネル乱流における熱運動量輸送の非相似性 (2016)
  • Author(s): 河原源太
  • Organizer: 日本伝熱学会関西支部第23期第2回講演討論会
  • Place of Presentation: 大阪市立大学（大阪府・大阪市）
  • Invited
• [Presentation] 正方形ダクト流れの数値計算法と乱流二次流れ (2015)
  • Author(s): 森下誠，河原源太，清水雅樹
  • Organizer: 第29回数値流体力学シンポジウム
  • Place of Presentation: 九州大学（福岡）
  • Year and Date: 2015-12-15
• [Presentation] 乱流における低次元力学系の構築 (2015)
  • Author(s): 清水雅樹，河原源太
  • Organizer: 第29回数値流体力学シンポジウム
  • Place of Presentation: 九州大学（福岡）
  • Year and Date: 2015-12-15
• [Presentation] チャネル流における局在乱れの寿命の構造依存性 (2015)
  • Author(s): 金澤昂弘，清水雅樹，河原源太
  • Organizer: 日本機械学会第93期流体工学部門講演会
  • Place of Presentation: 東京理科大学（東京）
  • Year and Date: 2015-11-07
• [Presentation] 矩形ダクト流における過渡的乱れの寿命 (2015)
  • Author(s): 甲藤雄大，武石恵介，福田拓生，後藤 晋，河原源太
  • Organizer: 日本機械学会第93期流体工学部門講演会
  • Place of Presentation: 東京理科大学（東京）
  • Year and Date: 2015-11-07
• [Presentation] チャネル乱流における貫通壁面を用いた非相似的伝熱促進 (2015)
  • Author(s): 長谷川久晃，青木勇樹，石川航佑，河原源太，Uhlmann Markus，加藤健司
  • Organizer: 日本機械学会第93期流体工学部門講演会
  • Place of Presentation: 東京理科大学（東京）
  • Year and Date: 2015-11-07
• [Presentation] 高レイノルズ数平面 Couette流の数値的厳密解 (2015)
  • Author(s): 佐々木英一，河原源太
  • Organizer: 日本機械学会第93期流体工学部門講演会
  • Place of Presentation: 東京理科大学（東京）
  • Year and Date: 2015-11-07
• [Presentation] 下壁面加熱水平クエット・ポアズイユ流における乱流熱伝達 (2015)
  • Author(s): 岡野春馬，前田幸祐，河原源太
  • Organizer: 日本機械学会第93期流体工学部門講演会
  • Place of Presentation: 東京理科大学（東京）
  • Year and Date: 2015-11-07
• [Presentation] 熱対流におけるカオス的反転の発生条件 (2015)
  • Author(s): 長賢太郎，清水雅樹，河原源太
  • Organizer: 日本流体力学会年会2015
  • Place of Presentation: 東京工業大学（東京）
  • Year and Date: 2015-09-26
• [Presentation] 平面クエット流における双安定乱流状態 (2015)
  • Author(s): 渡邊大記，河原源太，清水雅樹
  • Organizer: 日本流体力学会年会2015
  • Place of Presentation: 東京工業大学（東京）
  • Year and Date: 2015-09-26
• [Presentation] Smagorinskyモデルを用いた高レイノルズ数平面Couette流の数値的厳密解 (2015)
  • Author(s): 佐々木英一, 河原源太
  • Organizer: 日本流体力学会年会2015
  • Place of Presentation: 東京工業大学（東京）
  • Year and Date: 2015-09-26
• [Presentation] 熱対流におけるカオス的反転運動の発生 (2015)
  • Author(s): 清水雅樹, 長賢太郎, 河原源太
  • Organizer: 日本物理学会秋季大会2015
  • Place of Presentation: 金沢大学（石川）
  • Year and Date: 2015-09-16
• [Presentation] Smagorinskyモデルにおける平面Couette流の数値的厳密解 (2015)
  • Author(s): 佐々木英一, 河原源太
  • Organizer: 日本物理学会秋季大会2015
  • Place of Presentation: 金沢大学（石川）
  • Year and Date: 2015-09-16
• [Presentation] Optimal heat transfer in plane Couette flow (2015)
  • Author(s): Shingo Motoki, Masaki Shimizu, Genta Kawahara
  • Organizer: 8th International Symposium on Turbulence, Heat and Mass Transfer
  • Place of Presentation: Officer's Hall, Sarajevo（ボスニア・ヘルツェゴビナ）
  • Year and Date: 2015-09-15
  • Int'l Joint Research
• [Presentation] 熱対流におけるカオス的反転の開始 (2015)
  • Author(s): 長賢太郎，清水雅樹，河原源太
  • Organizer: 2015年度日本機械学会年次大会
  • Place of Presentation: 北海道大学（北海道）
  • Year and Date: 2015-09-13
• [Presentation] 壁面剪断乱流における熱対流の発生 (2015)
  • Author(s): 渡邊大記，河原源太，清水雅樹
  • Organizer: 2015年度日本機械学会年次大会
  • Place of Presentation: 北海道大学（北海道）
  • Year and Date: 2015-09-13
• [Presentation] Dynamical systems approach to subcritical transition to turbulence in plane Couette flow (2015)
  • Author(s): Genta Kawahara
  • Organizer: J. Jimenez's 70th Birthday Conference on Turbulence and Supercomputing
  • Place of Presentation: Parador de Turismo de Salamanca（スペイン）
  • Year and Date: 2015-09-03
  • Int'l Joint Research / Invited
• [Presentation] Onset of reversal and chaos in thermally driven cavity flow (2015)
  • Author(s): Masaki Shimizu, Kentaro Cho, Genta Kawahara
  • Organizer: 15th European Turbulence Conference
  • Place of Presentation: Delft University of Technology（オランダ）
  • Year and Date: 2015-08-25
  • Int'l Joint Research
• [Presentation] Homoclinic explosion and chaotic reversals in thermally driven cavity flow (2015)
  • Author(s): Masaki Shimizu, Kentaro Cho, Genta Kawahara
  • Organizer: Workshop on New Trends in Patterns and Waves
  • Place of Presentation: 北海道大学（北海道）
  • Year and Date: 2015-08-17
  • Int'l Joint Research / Invited
• [Presentation] Structure of invariant set in Couette flow at low Reynolds number (2015)
  • Author(s): Masaki Shimizu, Genta Kawahara, Julius Rhoan Lustro, Lennaert van Veen
  • Organizer: ASME-JSME-KSME Joint Fluids Engineering Conference 2015
  • Place of Presentation: COEX（韓国）
  • Year and Date: 2015-07-26
  • Int'l Joint Research
• [Presentation] Subcritical transition to turbulence in plane channel flow (2015)
  • Author(s): Takahiro Kanazawa, Masaki Shimizu, Genta Kawahara
  • Organizer: ASME-JSME-KSME Joint Fluids Engineering Conference 2015
  • Place of Presentation: COEX（韓国）
  • Year and Date: 2015-07-26
  • Int'l Joint Research
• [Presentation] 平面クエット流における熱輸送最適状態 (2015)
  • Author(s): 本木慎吾，清水雅樹，河原源太
  • Organizer: RIMS研究集会「乱流を介在した流体現象の数理」
  • Place of Presentation: 京都大学（京都）
  • Year and Date: 2015-07-22
• [Presentation] The onset of transient turbulence in wall-bounded shear flow (2015)
  • Author(s): Genta Kawahara
  • Organizer: International Symposium on Engineering Science
  • Place of Presentation: シンガポール国立大学(シンガポール）
  • Year and Date: 2015-05-19
  • Int'l Joint Research / Invited
• [Presentation] 亜臨界乱流遷移現象への力学系アプローチ (2015)
  • Author(s): 河原源太
  • Organizer: 第56回乱流遷移の解明と制御研究会
  • Place of Presentation: 電気通信大学（東京都）
  • Year and Date: 2015-03-27 – 2015-03-28
• [Presentation] The onset of thermal convection in plane Couette turbulence (2015)
  • Author(s): Genta Kawahara
  • Organizer: France-Japan Workshop on Subcritical Transition to Turbulence
  • Place of Presentation: ESPCI（フランス）
  • Year and Date: 2015-03-02 – 2015-03-03
• [Presentation] 乱流現象への力学系アプローチ (2014)
  • Author(s): 河原源太
  • Organizer: 研究集会「非線形現象の数理」-流体力学・地球流体力学・気象学・ウェーブレット解析・力学系-
  • Place of Presentation: 休暇村紀州加太（和歌山県）
  • Year and Date: 2014-12-26 – 2014-12-27
  • Invited
• [Presentation] 一様等方乱流における多重スケール反平行渦対の追跡 (2014)
  • Author(s): 齋藤雄太，後藤晋，河原源太
  • Organizer: 第28回数値流体力学シンポジウム
  • Place of Presentation: タワーホール船堀（東京都）
  • Year and Date: 2014-12-09 – 2014-12-11
• [Presentation] 周期箱乱流のLarge Eddy Simulationにおける不安定周期軌道 (2014)
  • Author(s): ファンフェーン レナート，安田達哉，後藤晋，河原源太
  • Organizer: 第28回数値流体力学シンポジウム
  • Place of Presentation: タワーホール船堀（東京都）
  • Year and Date: 2014-12-09 – 2014-12-11
• [Presentation] Localized turbulence structure in transitional rectangular-duct flow (2014)
  • Author(s): Genta Kawahara
  • Organizer: France-Japan Workshop on Subcritical Transition to Turbulence
  • Place of Presentation: 大阪大学（大阪府）
  • Year and Date: 2014-11-11 – 2014-11-12
• [Presentation] チャネル流における乱流遷移過程 (2014)
  • Author(s): 金澤昂弘，清水雅樹，河原源太
  • Organizer: 日本機械学会第92期流体工学部門講演会
  • Place of Presentation: 富山大学（富山県）
  • Year and Date: 2014-10-25 – 2014-10-26
• [Presentation] 平面クエット流の局在乱れの発生 (2014)
  • Author(s): 佐々木英一，清水雅樹，河原源太
  • Organizer: 日本機械学会第92期流体工学部門講演会
  • Place of Presentation: 富山大学（富山県）
  • Year and Date: 2014-10-25 – 2014-10-26
• [Presentation] 歳差運動をする容器内における界面活性剤水溶液の定常流の不安定性 (2014)
  • Author(s): 堀本康文，後藤晋，河原源太
  • Organizer: 日本機械学会第92期流体工学部門講演会
  • Place of Presentation: 富山大学（富山県）
  • Year and Date: 2014-10-25 – 2014-10-26
• [Presentation] ミニマム平面クエット流における乱流発生過程 (2014)
  • Author(s): 清水雅樹，河原源太
  • Organizer: 日本流体力学会年会2014
  • Place of Presentation: 東北大学（宮城県）
  • Year and Date: 2014-09-15 – 2014-09-17
• [Presentation] 高対称乱流における自己維持サイクル (2014)
  • Author(s): 安田達哉，河原源太，ファンフェーン レナート，木田重雄
  • Organizer: 日本流体力学会年会2014
  • Place of Presentation: 東北大学（宮城県）
  • Year and Date: 2014-09-15 – 2014-09-17
• [Presentation] 運動量と熱輸送の非相似性の最大化 (2014)
  • Author(s): 本木慎吾，清水雅樹，河原源太
  • Organizer: 2014年度日本機械学会年次大会
  • Place of Presentation: 東京電気大学（東京都）
  • Year and Date: 2014-09-07 – 2014-09-10
• [Presentation] 周期箱乱流のLarge-Eddy Simulation と不安定周期運動 (2014)
  • Author(s): 安田達哉，河原源太，後藤晋
  • Organizer: 2014年度日本機械学会年次大会
  • Place of Presentation: 東京電気大学（東京都）
  • Year and Date: 2014-09-07 – 2014-09-10
• [Presentation] Homoclinic orbits and their relevance to the onset of transient turbulence in wall flow (2014)
  • Author(s): Genta Kawahara, Julius R. Lustro, Lennaert van Veen, Masaki Shimizu
  • Organizer: 6th European Conference on Computational Fluid Dynamics
  • Place of Presentation: Palace of Congresses of Catalonia（スペイン）
  • Year and Date: 2014-07-20 – 2014-07-25
• [Presentation] Route to chaos in minimal plane Couette flow (2014)
  • Author(s): Masaki Shimizu, Genta Kawahara
  • Organizer: 6th European Conference on Computational Fluid Dynamics
  • Place of Presentation: Palace of Congresses of Catalonia（スペイン）
  • Year and Date: 2014-07-20 – 2014-07-25
• [Presentation] Route to chaos in minimal plane Couette flow (2014)
  • Author(s): Masaki Shimizu, Genta Kawahara
  • Organizer: Euromech Colloquium on Subcritical Transition to Turbulence
  • Place of Presentation: IESC Cargse（フランス）
  • Year and Date: 2014-05-06 – 2014-05-09
• [Book] 数理科学（力学系としての乱流） (2015)
  • Author(s): 河原源太
  • Total Pages: 84
  • Publisher: サイエンス社
• [Book] 事例で学ぶ数学活用法 (2015)
  • Author(s): 河原源太
  • Total Pages: 291
  • Publisher: 朝倉書店