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KATAOKA Takeshi
Graduate School of Engineering / Department of Mechanical Engineering
Associate Professor

Researcher basic information

■ Research Areas
  • Natural sciences / Applied mathematics and statistics

Research activity information

■ Paper
  • Takeshi Kataoka, T.R. Akylas
    Lead, Elsevier BV, Jul. 2022, Physica D: Nonlinear Phenomena, 435, 133272 - 133272
    Scientific journal

  • Takaya Hanada, Takeshi Kataoka
    Corresponding, Wiley, Apr. 2021, International Journal for Numerical Methods in Fluids
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Timothée Jamin, Takeshi Kataoka, Thierry Dauxois, T. R. Akylas
    Abstract
    Cambridge University Press (CUP), Nov. 2020, Journal of Fluid Mechanics, 907
    Scientific journal

  • T. Kataoka, T. R. Akylas
    American Physical Society (APS), Jan. 2020, Physical Review Fluids, 5(1) (1)
    [Refereed]
    Scientific journal

  • Takeshi Kataoka, Takaya Hanada
    Wiley, Oct. 2019, International Journal for Numerical Methods in Fluids, 91(4) (4), 183 - 197
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • On mean flow generation due to oblique reflection of internal waves at a slope
    KATAOKA Takeshi, AKYLAS Triantaphyllos
    Mar. 2019, Studies in Applied Mathematics, 142, 419 - 432, English
    [Refereed]
    Scientific journal

  • 大気・海洋中の内部重力波ビーム
    KATAOKA Takeshi
    2018, 日本応用数理学会 学会誌『応用数理』, 28(1) (1), 11 - 17, Japanese
    [Refereed]
    Scientific journal

  • The stability of internal gravity waves of finite width
    KATAOKA Takeshi, NAKAMURA Yusuke
    2018, Theoretical and Applied Mechanics, 64, 9 - 14, English
    [Refereed]
    Scientific journal

  • Improvement of stability of Free-Molecular Type LBM by Using Median Filter
    HANADA Takaya, KATAOKA Takeshi
    2018, Theoretical and Applied Mechanics, 64, 31 - 39, English
    [Refereed]
    Scientific journal

  • On the interaction of an internal wavepacket with its induced mean flow and the role of streaming
    B. Fan, KATAOKA Takeshi, T. R. Akylas
    Jan. 2018, Journal of Fluid Mechanics, 838, R1 (12pages), English
    [Refereed]
    Scientific journal

  • T. Kataoka, S. J. Ghaemsaidi, N. Holzenberger, T. Peacock, T. R. Akylas
    Nov. 2017, JOURNAL OF FLUID MECHANICS, 830, 660 - 680, English
    [Refereed]
    Scientific journal

  • HANADA Takaya, KATAOKA Takeshi
    The free-molecular-type kinetic scheme is a new lattice Boltzmann model which can simulate supersonic flows described by the compressible Euler and Navier-Stokes equations. We simulate two-dimensional supersonic flows over a wedge and a circular cylinder using this scheme. Numerical results agree well with the corresponding theories and experiments and show that this scheme can capture shock waves sharply without using any spatial fitting method.
    National Committee for IUTAM, Jun. 2015, Theoretical and Applied Mechanics, 63, 3 - 8, English
    [Refereed]
    Scientific journal

  • T. Kataoka, T. R. Akylas
    Apr. 2015, JOURNAL OF FLUID MECHANICS, 769, 621 - 634, English
    [Refereed]
    Scientific journal

  • Takeshi Kataoka, Ryouhei Ito
    Science Council of Japan, 2014, Theoretical and Applied Mechanics Japan, 62, 31 - 37, English
    [Refereed]
    Scientific journal

  • T. Kataoka, T. R. Akylas
    Dec. 2013, JOURNAL OF FLUID MECHANICS, 736, 67 - 90, English
    [Refereed]
    Scientific journal

  • Takeshi Kataoka
    Cambridge University Press, May 2013, Journal of Fluid Mechanics, 722, 461 - 495, English
    [Refereed]
    Scientific journal

  • Line sink flow in a stratified stream
    KATAOKA TAKESHI
    Line sink flow in a linearly stratified stream, bounded by the top and bottom two horizontal boundaries, is investigated on the basis of the Euler set of equations. The initial-value problem after start-up of discharge is solved numerically, and propagation of internal wave modes generated by the discharge and steady-state withdrawal-layer thickness are investigated. It is foun
    2012, Theoretical and Applied Mechanics, 60, 43 - 50, English
    [Refereed]
    Scientific journal

  • Gas-flow simulations by novel lattice Boltzmann method
    Takeshi Kataoka
    Feb. 2011, Theoretical and Applied Mechanics, Vol.59, pp.221-227, English
    [Refereed]
    Scientific journal

  • Accuracy of the lattice Boltzmann method for describing the behavior of a gas in the continuum limit
    Takeshi Kataoka, Michihisa Tsutahara
    Dec. 2010, Physical Review E, Vol.82, 056709, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Transverse instability of surface solitary waves. Part 2. Numerical linear stability analysis
    Takeshi Kataoka
    Jun. 2010, Journal of Fluid Mechanics, Vol.657, pp.126-170, English
    [Refereed]
    Scientific journal

  • Daisuke Unesaki, Takeshi Kataoka, Hirokazu Shirai
    Japan Society of Mechanical Engineers, 2010, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 76(769) (769), 1346 - 1354, Japanese
    [Refereed]
    Scientific journal

  • Takeshi Kataoka
    Japan Society of Mechanical Engineers, 2010, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 76(768) (768), 1144 - 1151, Japanese
    [Refereed]
    Scientific journal

  • Akinori Tamura, Michihisa Tsutahara, Takeshi Kataoka
    Japan Society of Mechanical Engineers, 2010, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 76(765) (765), 733 - 740, Japanese
    [Refereed]
    Scientific journal

  • On the Critical Rayleigh Number of the Benard Problem for a Gas
    KATAOKA Takeshi
    2010, 58, 235 - 242, English
    [Refereed]
    Scientific journal

  • 適切な支配方程式に基づく気体のべナール問題の再検討
    Takeshi Kataoka
    2010, 日本機械学会論文集（B編）, Vol.76, No.768, pp.1144-1151, Japanese
    [Refereed]
    Scientific journal

  • 差分格子ボルツマン法による円柱周りの放射音解析
    Akinori Tamura, Michihisa Tsutahara, Takeshi Kataoka
    2010, 日本機械学会論文集（B編）, Vol.76, No.765, pp.733-740, Japanese
    [Refereed]
    Scientific journal

  • 剛体回転系における密度成層流体の点吸い込み流れ
    Takeshi Kataoka
    2010, 土木学会論文集B, Vol.66, No.3, pp.280-288, Japanese
    [Refereed]
    Scientific journal

  • 傾斜ステップ型地形を過ぎる孤立波の砕波に関する実験・数値的研究
    Daisuke Unesaki, Takeshi Kataoka, Hirokazu Shirai
    2010, 日本機械学会論文集（B編）, Vol.76, No.769, pp.1346-1354, Japanese
    [Refereed]
    Scientific journal

  • Katsuji Akamatsu, Akinori Tamura, Takeshi Kataoka, Michihisa Tsutahara
    Japan Society of Mechanical Engineers, 2009, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 75(752) (752), 718 - 723, Japanese
    [Refereed]
    Scientific journal

  • 差分格子ボルツマン法による有限振幅音波の伝播計算
    蔦原 道久, 赤松 克児, 田村 明紀, 片岡 武
    2009, 日本機械学会論文集（Ｂ編), 75巻752号718-723頁, Japanese
    [Refereed]
    Scientific journal

  • Numerical simulation of transversely distorted surface solitary wave
    Takeshi KATAOKA
    2009, Theoretical and Applied Mechanics, Vol.57, pp.323-330
    [Refereed]
    Scientific journal

  • Takeshi Kataoka
    Sep. 2008, JOURNAL OF FLUID MECHANICS, 611, 255 - 282, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Akinori Tamura, Michihisa Tsutahara, Takeshi Kataoka, Takashi Aoyama, Choongmo Yang
    Sep. 2008, AIAA JOURNAL, 46(9) (9), 2235 - 2247, English
    [Refereed]
    Scientific journal

  • The superharmonic instability of finite-amplitude interfacial waves
    Takeshi Kataoka
    Mar. 2008, Bulletin of the Institute of Mathematics, Academia Sinica, New series, vol.3, no.1, pp.153-166
    [Refereed]
    Scientific journal

  • M. Tsutahara, T. Kataoka, K. Shikata, N. Takada
    Jan. 2008, COMPUTERS & FLUIDS, 37(1) (1), 79 - 89, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Takeshi Kataoka
    Dec. 2006, FLUID DYNAMICS RESEARCH, 38(12) (12), 831 - 867, English
    [Refereed]
    Scientific journal

  • T Kataoka
    Jan. 2006, JOURNAL OF FLUID MECHANICS, 547, 175 - 184, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • T Kataoka, M Tsutahara
    Aug. 2004, JOURNAL OF FLUID MECHANICS, 512, 211 - 221, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • T Kataoka, M Tsutahara
    Jul. 2004, PHYSICAL REVIEW E, 70(1) (1), English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • T Kataoka, M Tsutahara
    May 2004, PHYSICAL REVIEW E, 69(5) (5), English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Takeshi Kataoka, Michihisa Tsutahara
    Mar. 2004, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(3) (3), 1 - 35701, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • T Kataoka, M Tsutahara
    Mar. 2004, PHYSICAL REVIEW E, 69(3) (3), English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • TSUTAHARA Michihisa, KATAOKA Takeshi, TAMURA Akinori, SHIKATA Kenji
    Two-dimensional direct numerical simulation of the edge-tones by the finite difference lattice Boltzmann method (FDLBM)is reported. We use anew lattice BGK compressible fluid model that has an additional term and allow larger time increment comparing the conventional FDLBM, and also use a boundary fitted coordinates. We have succeeded in capturing very small pressure fluctuations result from periodically oscillation of jet around the edge. That pressure fluctuations propagate with the sound speed. It is clarified that the sound wave generated in rather wide region and. individual vortices do not affect the sound wave propagation. We showed that the frequency of edge-tones depend on the jet flow speed.
    The Japan Society of Mechanical Engineers, 2004, The proceedings of the JSME annual meeting, 2004, 69 - 70, Japanese

  • Takeshi Kataoka, Michihisa Tsutahara
    2004, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(1) (1), 9, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Takeshi Kataoka, Michihisa Tsutahara
    2004, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 69(5) (5), 14, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • 差分格子ボルツマン法によるエッジトーンの直接計算
    蔦原 道久, 四方 憲治, 片岡 武, 田村 明紀
    2004, 計算数理工学論文集, Vol.4,37-42, Japanese
    [Refereed]
    Scientific journal

  • 回転二重同心円筒内流体の吸込みわき出し流れ
    片岡 武, 蔦原 道久, 後藤 隆宏
    2004, 日本機械学会論文集（Ｂ編）, 70(699),2681-2688, Japanese
    [Refereed]
    Scientific journal

  • Knudsen pump and its possibility of application to satellite control system
    KATAOKA Takeshi, TSUTAHARA Michihisa, OGAWA Kazuhiko, YAMAMOTO Yoshifumi, SHOJI Masakazu, SAKAI Yoshihide
    2004, Theoretical and applied mechanics Japan, 53,155-161, English
    [Refereed]
    Scientific journal

  • TSUTAHARA Michihisa, SHIKATA Kenji, KATAOKA Takeshi
    Three-dimensional direct numerical simulation of aerodynamic sound by the finite difference lattice Boltzmann method (FDLBM) is reported. We use a new lattice BGK compressible fluid model that has an additional term and allow larger time increment comparing the conventional FDLBM, and also use a boundary fitted co-ordinates. We have succeeded in capturing very small pressure fluctuations in a uniform flow over a circular cylinder. They were generated with same frequency of Karman vortex street. We can also succeed to detect the aerodynamic sound which is generated by a three-dimensional body and propagates in radial direction. We clarified that we can calculate the aerodynamic sound directly using by the finite difference lattice Boltzmann method.
    The Japan Society of Mechanical Engineers, 2003, The proceedings of the JSME annual meeting, 2003, 287 - 288, Japanese

  • Tsutahara Michihisa, Nakagawa Kentaro, Kataoka Takashi
    In this paper, three-dimensional numerical simulation around a calculation model of the part of vehicle's front pillar (wedge-box) by the finite difference lattice Boltzmann method (FDLBM) is reported. We use a new lattice BGK incompressible fluid model that has an additional term to manipulate a viscous term. As a result, we have confirmed the generation of the spiral flow by the sidepiece of wedge box, and captured the reattachment line of the spiral flow.
    The Japan Society of Mechanical Engineers, 2003, The proceedings of the JSME annual meeting, 2003, 289 - 290, Japanese

  • Tsutahara, M, Kataoka, T, Takada, N, Kang, H.K, Kurita, M
    Jan. 2003, Computational Fluid Dynamics Journal, 11(1) (1), 486 - 493, English
    [Refereed]
    Scientific journal

  • 差分格子ボルツマン法による音波の直接計算
    蔦原 道久, 栗田 誠, 片岡 武
    2003, 日本機械学会論文集（B編）, 69(680),841-847, English
    [Refereed]
    Scientific journal

  • Stability of small-amplitude internal solitary waves in stratified fluids.
    KATAOKA Takeshi, TSUTAHARA Michihisa
    2003, Theoretical and Applied Mechanics., Vol.52,239-246, English
    [Refereed]
    Scientific journal

  • Reflection of internal solitary wave by a vertical wall in a stratified fluid
    T.Kataoka, M.Tsutahara, M.Shibayama
    2002, Theoretical and Applied Mechanics, 51, 315 - 322, English
    [Refereed]
    Scientific journal

  • 差分格子ボルツマン法による圧縮性成層流体の数値シミュレーション
    蔦原道久, 姜鎬根, 八木寛郎, 片岡武, 岡林雅明, 馮士徳
    2002, 日本機械学会論文集（B編）, 68(667) (667), 666 - 671, Japanese
    [Refereed]
    Scientific journal

  • Selective withdrawal through a line sink of non-rotating and rotating stratified fluid in a reservoir of finite depth
    T Kataoka, M Tsutahara, S Mizutani
    Mar. 2001, EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 20(2) (2), 167 - 186, English
    [Refereed]
    Scientific journal

  • KATAOKA Takeshi
    The Japan Society of Fluid Mechanics, Feb. 2001, nagare, 20(1) (1), 7 - 17, Japanese

  • Michihisa Tsutahara, Masaaki Okabayashi, Takeshi Kataoka
    Japan Society of Mechanical Engineers, 2001, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 67(660) (660), 1912 - 1917, Japanese
    [Refereed]
    Scientific journal

  • Masaaki Okabayashi, Michihisa Tsutahara, Takeshi Kataoka
    Japan Society of Mechanical Engineers, 2001, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 67(663) (663), 2662 - 2669, Japanese
    [Refereed]
    Scientific journal

  • 差分格子BOLTZMANN法による回転流体における慣性波の解析
    岡林雅明, 蔦原道久, 片岡 武
    2001, 日本機械学会論文集（B編）, 67(663) (663), 2662 - 2669, Japanese
    [Refereed]
    Scientific journal

  • Effects of stratification and rotation on a sink flow
    T.Kataoka, M.Tsutahara
    2001, Theoretical and Applied Mechanics, 50, 295 - 301, English
    [Refereed]
    Scientific journal

  • 差分格子ボルツマン法による回転場における流体運動の解析
    蔦原道久, 岡林雅明, 片岡 武
    2001, 日本機械学会論文集（B編）, 67(660) (660), 1912 - 1917, Japanese
    [Refereed]
    Scientific journal

  • T. Kataoka, M. Tsutahara, M. Tanaka
    American Inst of Physics, Nov. 2000, Physics of Fluids, 12(11) (11), 2775 - 2786, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Simulation of the stratified flows using the two-component lattice Boltzmann method
    M Tsutahara, S Feng, T Kataoka
    Jul. 2000, COMPUTER PHYSICS COMMUNICATIONS, 129(1-3) (1-3), 131 - 137, English
    [Refereed]
    Scientific journal

  • Transverse instability of solitary waves in the generalized Kadomtsev-Petviashvili equation
    T Kataoka, M Tsutahara, Y Negoro
    Apr. 2000, PHYSICAL REVIEW LETTERS, 84(14) (14), 3065 - 3068, English
    [Refereed]
    Scientific journal

  • Two-dimensional evolution equation of finite-amplitude internal gravity waves in a uniformly stratified fluid
    T Kataoka, M Tsutahara, A Akuzawa
    Feb. 2000, PHYSICAL REVIEW LETTERS, 84(7) (7), 1447 - 1450, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Michihisa Tsutahara, Masaaki Okabayashi, Takeshi Kataoka
    Japan Society of Mechanical Engineers, 2000, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 66(651) (651), 2838 - 2844, Japanese
    [Refereed]
    Scientific journal

  • 格子ボルツマン法による回転場における流体運動の解析
    蔦原道久, 岡林雅明, 片岡 武
    2000, 日本機械学会論文集（B編）, 66(651) (651), 2838 - 2844, Japanese
    [Refereed]
    Scientific journal

  • Takeshi Kataoka, Michihisa Tsutahara, Satoshi Mizutani
    Japan Society of Mechanical Engineers, 1999, Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 65(635) (635), 2366 - 2373, Japanese
    [Refereed]
    Scientific journal

  • 回転密度成層場における線吸込流れに関する数値解析的研究
    片岡 武, 蔦原道久, 水谷 聡
    1999, 日本機械学会論文集（B編）, 65(635) (635), 2366 - 2373, Japanese
    [Refereed]
    Scientific journal

  • Two-dimensional selective withdrawal in a rotating stratified fluid
    T.Kataoka, M.Tsutahara, S.Mizutani
    1999, Theoretical and Applied Mechanics, 48, 295 - 301, English
    [Refereed]
    Scientific journal

  • 密度成層場における点吸込流れによる選択取水形成過程
    片岡 武, 蔦原道久, 真下悟史
    1999, 日本機械学会論文集（B編）, 65(629) (629), 152 - 158, Japanese
    [Refereed]
    Scientific journal

  • Tsutahara, Michihisa, Feng, Shi-de, Kataoka, Takeshi, Takada, Naoki
    Thermal free convection is simulated by the Lattice Boltzmann Method using two types of particles, that is red particles and blue ones. The gravitational force is introduced into the collision stage, at which the impulsive force is added by making the population of blue particles moving downward increase. The buoyancy force is taken into consideration in the translating stage of the particles. The velocity field and the density or the temperature field are obatained by averaging these calculated two stage fields. The results agree well with those obtained by the finite difference method.
    The Japan Society of Mechanical Engineers, Jul. 1998, Transactions of the Japan Society of Mechanical Engineers, Series B, 64(623) (623), 1966 - 1972, Japanese
    [Refereed]
    Scientific journal

  • Axisymmetric withdrawal in a stratified fluid
    T.Kataoka, M.Tsutahara, S.Mashita
    1998, Theoretical and Applied Mechanics, 47, 191 - 195, English
    [Refereed]
    Scientific journal

  • Horizontal Propagation of Linear Waves of Inertial Internal Gravity Modes in a Rotating Stratified Fluid
    KATAOKA Takeshi, TSUTAHARA Michihisa
    日本流体力学会, 1998, Journal of Japan Society of Fluid Mechanics, 17(3) (3), 189 - 201, Japanese
    [Refereed]
    Scientific journal

  • 密度成層場における二次元選択取水に関する数値解析的研究
    片岡 武, 蔦原道久, 水谷 聡
    1998, 日本機械学会論文集（B編）, 64(628) (628), 3942 - 3949, Japanese
    [Refereed]
    Scientific journal

  • KATAOKA Takeshi, TSUTAHARA Michihisa
    The long time motion of a linearly stratified inviscid non-diffusive fluid after the sudden discharge from a sink is studied theoretically. Both the line and the point sink flows are investigated. When the internal Froude number is small, the flow approaches the state of selective withdrawal. In this paper, we show in detail the asymptotic behaviour of internal waves which play an important role in establishing the selective withdrawal. Clear differences of the wave motion between the line and the point sink flows are also suggested.
    The Japan Society of Fluid Mechanics, 1997, nagare, 16(3) (3), 248 - 258, Japanese
    [Refereed]
    Scientific journal

  • Numerical examination of applicability of the linearized Boltzmann equation
    Y.Sone, T.Kataoka, T.Ohwada, H.Sugimoto, K.Aoki
    1994, European Journal of Mechanics B/Fluids, 13, 573 - 589, English
    [Refereed]
    Scientific journal

■ MISC
  • 傾斜円柱の振動により誘起される内部波 (非線形波動現象の数理に関する最近の進展)
    片岡 武, T. R. Akylas, T. Peacock, N. Holzenberger
    京都大学, Apr. 2016, 数理解析研究所講究録, 1989, 113 - 118, Japanese

  • M402 Numerical Simulations for Three-dimensional Compressible Flows Using the Free-molecular-type LBM Scheme
    HANADA Takaya, KATAOKA Takeshi
    The Japan Society of Mechanical Engineers, 11 Mar. 2016, 関西支部講演会講演論文集, 2016(91) (91), 278 - 278, Japanese

  • 104 On the resonance instability of shallow-water periodic waves
    KATAOKA Takeshi
    The Japan Society of Mechanical Engineers, 16 Mar. 2012, 関西支部講演会講演論文集, 2012(87) (87), "1 - 25", Japanese

  • 1022 Experimental and Numerical Study on Breaker Types of Solitary Waves over Arbitrary Bottom
    Unesaki Daisuke, Shirai Hirokazu, Kataoka Takeshi
    The Japan Society of Mechanical Engineers, 16 Mar. 2010, 関西支部講演会講演論文集, 2010(85) (85), "10 - 28", Japanese

  • Linear stability of surface periodic waves in the long-wave limit
    KATAOKA Takeshi
    Linear stability of finite-amplitude surface periodic waves in the long-wave limit is investigated. When the wavenumber (K_x,K_y,) of a perturbation is of the same order as that of the basic wave, resonance curves on the plane (K_x,K_y) are represented by a cross and ellipses. As the wavenumber of a perturbation becomes larger relative to that of the basic wave, the type of instability asymptotes to that of solitary wave.
    日本流体力学会, 2010, 日本流体力学会年会講演論文集, 2010, 263 - 263, Japanese

  • 112 Three-dimensional Instability of Surface Solitary Waves
    KATAOKA Takeshi
    The Japan Society of Mechanical Engineers, 16 Mar. 2009, 関西支部講演会講演論文集, 2009(84) (84), "1 - 12", Japanese

  • Resonant instability of finite-amplitude surface periodic waves in the long-wave limit
    KATAOKA Takeshi
    Resonant instability of finite-amplitude surface periodic waves in the long-wave limit is investigated. Two kinds of resonances are found. The first one is associated with the oscillation of a distorted solitary wave which is a long-wave limit of the periodic wave. A resonance between such a distorted long wave and a disturbance leads to four resonance lines on a parameter plane (k, l), where k and l are the wavenumbers of a disturbance in the longitudinal and transverse directions, respectively. A disturbance on the two smaller-gradient lines induces instability, while that on the remaining two does not. The second one is a resonance between two linear disturbances. The corresponding resonance curves are given by ellipses on the parameter plane (k, l).
    日本流体力学会, 2009, 日本流体力学会年会講演論文集, 2009, 190 - 190, Japanese

  • A new type of resonant instability for surface periodic waves
    KATAOKA Takeshi
    A new type of resonant instability for surface periodic waves is investigated in the long-wave limit. Resonance curves on a parameter plane (k,l), where k and l are the wavenumbers of a disturbance in the longitudinal and transverse directions respectively, become four lines of the form l=±c_1k and l=±c_2k (0日本流体力学会, 2008, 日本流体力学会年会講演論文集, 2008, 312 - 312, Japanese

  • 2401 A Numerical Simulation for Finite Amplitude Sound Wave Propagation Using Lattice Boltzmann Method
    AKAMATSU Katsuji, TAMURA Akinori, KATAOKA Takeshi, TSUTAHARA Michihisa
    The Lattice Boltzmann Method (LBM) was used to study the propagation of high amplitude progressive sound wave radiated from a piston in a duct. The formation of a shock front and the development of saw tooth waves are simulated when the effect of nonlinearity is strong relative to thermoviscous dissipation. The wave deformation is compared with the solution of Burgers equation that describes the combined effects of nonlinearity and losses on the propagation of plane progressive waves. The results show good agreement with Burgers equation and suggest that the LBM is useful for studying nonlinear acoustics problems.
    The Japan Society of Mechanical Engineers, 25 Nov. 2007, The Computational Mechanics Conference, 2007(20) (20), 631 - 632, Japanese

  • 409 Source-sink flows in a rotating cylindrical annulus
    TSUTAHARA Michihisa, KATAOKA Takeshi, GOTOH Takahiro
    Steady source-sink flows of viscous incompressible fluid in a rotating annulus are numerically studied The annulus is made of two concentric cylinders of different radius with finite axial length and solid-wall ends. The fluid is injected uniformly from the inner cylinder and the same amount is extracted uniformly from the outer cylinder. This flow is mainly characterized by the Ekman number (E) and dimensionless speed of extracted fluid (U). When U is small, the injected fluid moves through the annulus via the Ekman layer which is formed near the end walls of the annulus. The ratio of the volume rate of fluid that goes through the Ekman layer is investigated and it is newly found that this ratio can take an extremum value at some intermediate value of U for a fixed value of E. Moreover, we findthat, when E and U are very small, the torus flow appears, which was not found in the previous studies.
    The Japan Society of Mechanical Engineers, 18 Mar. 2005, 関西支部講演会講演論文集, 2005(80) (80), "4 - 23"-"4-24", Japanese

  • 二層流体中を伝播する内部孤立波の横方向撹乱に対する安定性 (波動の非線形現象とその応用)
    片岡 武, 蔦原 道久
    京都大学, Apr. 2004, 数理解析研究所講究録, 1368, 205 - 212, Japanese

  • 1307 Study on engineering application of the Knudsen pump in rarefied gas
    TSUTAHARA Michihisa, OGAWA Kazuhiko, KATAOKA Takeshi, SHOJI Masakazu, SAKAI Yoshihide, KIRIMURA Munetaka
    The Knudsen pump is a pump that utilizes a thermal transpiration flow that is peculiar to a rarefied gas. A thermal transpiration flow is induced when boundary wall have temperature gradient. There is no moving part in this pump and the mechanism is very simple. It is expected that it will be applied from now on from the viewpoint of engineering. But the Knudsen pump has demerits like low pressure and the severe condition for the pump to be workable. In this paper we investigate the basic features of the Knudsen pump. Then we suggest the more efficient Knudsen pump, and evaluate its performance. Therefore we investigate both numerically and experiment.
    The Japan Society of Mechanical Engineers, 17 Mar. 2004, 関西支部講演会講演論文集, 2004(79) (79), "13 - 13"-"13-14", Japanese

  • 808 Reflection of internal solitary waves in a stratified fluid
    NISHIHARA Hironori, TSUTAHARA Michihisa, KATAOKA Takeshi
    Reflection of an obliquely incident internal solitary wave by a vertical wall in a stratified fluid is studied numerically. We employ the Euler equations, which are the equations for incompressible ideal fluids, as basic equations of the analysis. According to the numerical results, the reflection pattern approaches that of normal reflection in comparison with the analytical results of Kadomtsev-Petviashvili(KP) equation which is the model equation in a small amplitude limit. For example, the transition from Mach reflection to regular reflection occurs at smaller incident angle than that of the KP equation.
    The Japan Society of Mechanical Engineers, 17 Mar. 2004, 関西支部講演会講演論文集, 2004(79) (79), "8 - 13"-"8-14", Japanese

  • F311 Direct Simulation of Aero Acoustic Waves Emitted from Slitted and Holed Circular Cylinders by the Finite Difference Lattice Boltzmann Method
    TAMURA Akinori, TUTAHARA Michihisa, KATAOKA Takeshi, SHIKATA Kenji, KONDO Takamasa
    Three dimensional direct simulation of aero acoustic waves emitted from slitted and holed circular cylinders by finite difference Boltzmann method (FDLBM) is reported. We use a new lattice BGK compressible fluid model that has an additional term and allow larger time increment comparing the conventional FDLBM, and also use a boundary fitted co-ordinates. We have succeeded in capturing very small pressure fluctuations in a uniform flow over a circular cylinder. They generated with same frequency of Karman vortex street. We calculated directly aero acoustic waves emitted from slitted and holed circular cylinders by the finite difference lattice Boltzmann method, and compared pressure fluctuations generated from slitted and holed circular cylinders.
    日本流体力学会, 2004, 日本流体力学会年会講演論文集, 2004, 656 - 657, Japanese

  • The study of the finite difference lattice Boltzmann method built in the turbulence model
    Tsutahara Michihisa, Kataoka Takeshi, Nakagawa Kentaro
    This paper reports the finite difference lattice Boltzmann method (FDLBM) built in the turbulence model. This model is built in the subgrid model, which incorporates the standard Smagorinsky model to damp the small-scale fluctuations from the flow field. First, we show the theory of the FDLBM subgrid model, and then we simulate three-dimensional fully developed turbulent channel flow at Re_τ=150 using this method, and compare it with DNS database. The result of FDLBM subgrid model shows appropriate agreement with that of DNS database if a shortage of calculation lattice is considered.
    The Japan Society of Mechanical Engineers, 22 Nov. 2003, The Computational Mechanics Conference, 2003(16) (16), 137 - 138, Japanese

  • A study of SIS of surfactant by the finite difference lattice Boltzmann method
    Tsutahara Michihisa, Tamura Akinori, Kataoka Takeshi
    Drag reduction caused by surfactant solutions is considered. Surfactant contains threadlike micelles. At a critical shear rate the shear viscosity suddenly increases in this so-called shear-induced state (SIS). At high shear rates the increased shear viscosity gradually decreases. In this paper, two-dimensional numerical simulation in the surfactant solution containing threadlike micelles by the finite difference lattice Boltzmann method is reported. As a result, we formed SIS and checked the shear viscosity increasing at a critical shear rate and the increased shear viscosity decreasing at high shear rates.
    The Japan Society of Mechanical Engineers, 22 Nov. 2003, The Computational Mechanics Conference, 2003(16) (16), 121 - 122, Japanese

  • A Study of Direct Simulation of Turbulent Flow by the Finite Difference Lattice Boltzmann Method
    Tsutahara Michihisa, Ki Hou, Kataoka Takeshi
    Computation of 3-dimensional homogeneous isotropic turbulence by the Finite Difference Lattice Boltzmann Method (FDLBM) has been conducted with the grids of 64×64×64. In the case of freely decaying homogeneous turbulence, the energy spectrum obtained by the FDLBM is compared with the experimental result. In the case of forced turbulence, a comparison of turbulence by the FDLBM and FDS are conducted.
    The Japan Society of Mechanical Engineers, 22 Nov. 2003, The Computational Mechanics Conference, 2003(16) (16), 141 - 142, Japanese

  • Direct simulation of edge-tones by the finite difference lattice Boltzmann method
    TSUTAHARA Michihisa, SHIKATA Kenji, KATAOKA Takeshi
    The Japan Society of Mechanical Engineers, 18 Sep. 2003, Fluids engineering conference ..., 2003, 99 - 99, Japanese

  • 瞬間的動作を受けた後の密度成層完全流体の支配方程式系導出 (非線形波動現象の数理とその応用)
    片岡 武, 蔦原 道久
    京都大学, Apr. 2003, 数理解析研究所講究録, 1311, 27 - 39, English

  • Linear stability of interfacial solitary waves in two-layer fluids
    TSUTAHARA Michihisa, KATAOKA Takeshi, OHASHI Masanobu
    Linear stability of interfacial solitary waves is studied under the assumption that the fluid is incompressible and inviscid with no interfacial tension. Solitary wave solutions are obtained by numerically solving the corresponding governing equations. Their stability is investigated by solving the eigen-value problem for linear perturbations.
    The Japan Society of Mechanical Engineers, 2003, 関西支部講演会講演論文集, 2003(78) (78), "15 - 7"-"15-8", Japanese

  • Numerical study on effect of selective withdrawal by moving line sink
    TSUTAHARA Michihisa, KATAOKA Takeshi, ITAGAKI Yoji
    We consider line sink flow in a reservoir of finite depth. When the fluid is stratified in the vertical direction, only a layer of fluid adjacent to the sink level is withdrawn. This phenomenon is called selective withdrawal, and there exists wide application to water quality management. We here describe the effect of selective withdrawal when the line sink moves in a horizontal direction.
    The Japan Society of Mechanical Engineers, 2003, 関西支部講演会講演論文集, 2003(78) (78), "15 - 5"-"15-6", Japanese

  • Stability of internal solitary waves
    KATAOKA Takeshi, TSUTAHARA Michihisa
    The linear stability of finite-amplitude internal solitary waves propagating in a two-layer fluid is studied. As a first step, in the present work, we try to reveal the critical surface that divides the region of stability and instability in a parameter space of solitary waves. It is then revealed that the linear stability and instability regions are divided by the surface of dE/dv=0,where E is the total energy of solitary wave and v is the propagating speed of solitary wave. We also derived explicitly the stability criterion that can prescribe which sides of critical surface are stable or unstable.
    日本流体力学会, 2003, 日本流体力学会年会講演論文集, 2003, 278 - 279, Japanese

  • Reflection of internal solitary waves by a vertical wall
    SHIBAYAMA Masashi, TSUTAHARA Michihisa, KATAOKA Takeshi
    Reflection of an obliquely incident internal solitary wave by a vertical wall in a stratified fluid is studied numerically. We employ two different types of equations for the analysis, that is, the equation for incompressible ideal fluids and the Modified Kadomtsev-Petviashvili (MKP) equation derived from the former equation under the assumption of small wave amplitude, small incident angle, large horizontal lengthscale of variation, and the condition for stratification profile specified in the main text, According to the numerical results of the MKP equation, the reflection pattern approaches that of normal reflection in comparison with analyses of Kadomtsev-Petviashvili (KP) equation as the wave amplitude increases.
    The Japan Society of Mechanical Engineers, 2002, 関西支部講演会講演論文集, 2002(77) (77), "13 - 39"-"13-40", Japanese

  • Time development of long nonlinear internal waves on the basis of the compressible Euler system of equations
    KATAOKA Takeshi, TSUTAHARA Michihisa
    The higher-order KdV equations that describe the motion of long nonlinear internal waves are derived on the basis of the compressible Euler set of equations. We consider the case where the following three parameters are of the same order of magnitude : (i) the degree of stratification, (ii) the degree of pressure gradient caused by the gravitational acceleration, and (iii) the amplitude of waves. The terms representing compressibility of fluids are clarified and propagation of the radiated waves is also discussed.
    日本流体力学会, 2002, 日本流体力学会年会講演論文集, 2002, 86 - 87, Japanese

  • 1113 Instability of solitary wave solutions in the generalized KP equation
    Kataoka Takeshi, Tsutahara Michihisa
    The Japan Society of Mechanical Engineers, 28 Sep. 2001, Fluids engineering conference ..., 2001, 157 - 157, Japanese

  • 307 Study of Instability of Planar Solitary Waves
    NEGORO Yoshihiro, KATAOKA Takeshi, TSUTAHARA Michihisa
    The linear stability of planar solitary waves with respect to long-wavelength transverse perturbations is studied in the framework of the generalized Kadomtsev-Petviashvili (KP) equation. It is newly discovered that for some nonlinearities in this family, the solitary waves could be transversely unstable. The results of numerical simulation also confirm the instability.
    The Japan Society of Mechanical Engineers, 16 Mar. 2001, 関西支部講演会講演論文集, 2001(76) (76), "3 - 21"-"3-22", Japanese

  • 1028 Mach Reflection of Internal Solitary Waves by a Vertical Wall in a Stratified Fluid
    YASUKAWA Hideo, KATAOKA Takeshi, TSUTAHARA Michihisa
    Mach reflection of internal solitary waves by a vertical wall in a stratified fluid is studied numerically. There are some studies about Mach reflection, but they assume a weakly and nearly uniformly stratified fluid or a two layer fluid or free surface waves. Here, we suppose a weakly and nonuniformly stratified fluid. We use the SMAC method for calculations. And a comparison with solutions of model equations is made.
    The Japan Society of Mechanical Engineers, 16 Mar. 2001, 関西支部講演会講演論文集, 2001(76) (76), "10 - 55"-"10-56", Japanese

  • 907 Numerical Analysis of an Inertial Wave in a Rotating Fluid by Finite Difference Lattice Boltzmann Method
    OKABAYASHI Masaaki, TSUTAHARA Michihisa, KATAOKA Takeshi
    Effect of the body force in the finite difference lattice Boltzmann method (FDLBM) is studied. Inertial waves in a rotating field are calculated by FDLBM, the 3D15V lattice BGK model with introducing the Coriolis force in the local equilibrium distribution function. The phase velocity and the group velocity of the inertial wave are compared with the theoretical one obtained by the dispersion relation of an incompressible inviscid fluid, and both agree well.
    The Japan Society of Mechanical Engineers, 16 Mar. 2001, 関西支部講演会講演論文集, 2001(76) (76), "9 - 19"-"9-20", Japanese

  • Line sink flow in a stratified stream
    KATAOKA Takeshi, TSUTAHARA Michihisa, NAKAJIMA Ikutomo, ITAGAKI Yoji
    Line sink flow in a linearly stratified stream, bounded by the top and bottom two horizontal plates, is investigated numerically by the finite-difference method. The unsteady behavior of fluids, especially the propagation of internal waves generated by the start-up of discharge, is examined computationally. The flow approaches steady state where a layer of withdrawn fluids is concentrated near the bottom and a thickness of this withdrawn layer is also presented.
    日本流体力学会, 2001, 日本流体力学会年会講演論文集, 2001, 367 - 368, Japanese

  • 1301 Finite-amplitude Internal Waves Resonantly Excited by Three-diemensional Topography
    KATAOKA Takeshi, TSUTAHARA Michihisa, HIRANO Tetsuhiro, AKUZAWA Tomonori
    Finite-amplitude internal waves resonantly excited by three-dimensional topography in the flow of a weakly and nearly uniformly stratified fluid are studied. This flow is mainly governed by a stratification profile and the Froude number. The numerical solutions of Navier-Stokes equations show various wave patterns, such as the Mach reflection and upstream propagation of solitary waves, depending on the values of these parameters. A comparison with solutions of fully nonlinear model equation is also made.
    The Japan Society of Mechanical Engineers, 16 Mar. 2000, 関西支部講演会講演論文集, 2000(75) (75), "13 - 1"-"13-2", Japanese

  • 1303 Density-Stratified Flows by the Finite Difference Lattice Boltzman Method
    TUTAHARA Michihisa, KATAOKA Takeshi, OKABAYASHI Masaaki, YAGI Hiroo
    Stratified fluids in gravitational field show some peculiar behavior different from homogeneous fluids. Free convection is one of such typical phenomena in stratified flows. The phenomenon is of practical importance in civil engineering or geophysical fluid dynamics. In this paper Finite Difference Lattice Boltzman Method and the thermal Lattice BGK model is applied to the compressible stratified fluid and we have simulated the free convection.
    The Japan Society of Mechanical Engineers, 16 Mar. 2000, 関西支部講演会講演論文集, 2000(75) (75), "13 - 5"-"13-6", Japanese

  • Simulation of Compressible Stratified Flows by the Finite Difference Lattice Boltzmann Method
    Tsutahara Michihisa, Yagi Hiroo, Kataoka Takeshi, Okabayasih Masaaki, Feng Si deok
    For a compressible fluid under gravitational force, the density stratification is not enough and the entropy stratification is essential. In this report, we present the numerical simulation of a line sink compressible stratified flow in two-dimensional channel by the finite difference lattice Boltzmann method. The results show that selective withdrawal is established when the entropy increase upward that is predicted by theoretical consideration.
    日本流体力学会, 2000, 日本流体力学会年会講演論文集, 2000, 357 - 358, Japanese

  • Transverse instability of internal solitary waves
    KATAOKA Takeshi, TSUTAHARA Michihisa
    The linear stability of finite-amplitude internal solitary waves in a weakly and nearly uniformly stratified fluid with respect to long-wavelength transverse perturbations is studied analytically. The two-dimensional (three-dimensional in the physical space) version of the strongly nonlinear evolution equation derived by Grimshaw and Yi^<4)> is used as a basic equation of the stability analysis. We derived the condition for transverse stability of solitary waves and newly found that one-dimensionally stable internal solitary waves could be transversely unstable. In the small-amplitude limit, our results agree with those obtained by using the weekly-nonlinear evolution equation as a basic model.
    日本流体力学会, 2000, 日本流体力学会年会講演論文集, 2000, 495 - 496, Japanese

  • 陰的シンプレクティック法の有効性に関する研究
    片岡 武, 蔦原道久, 阿久澤智規
    神戸大学, 2000, 神戸大学大学院自然科学研究科紀要, 18, 81 - 90, Japanese
    Report research institution

  • Numerical simulation of thermal convections using the lattie Boltzmann method
    Feng, S. D, Tsutahara, M, Kataoka, T, Takada, N
    2000, Mem. Grad. School Sci. Technol., Kobe Unbiv., 18-A, 131 - 148

  • 格子ボルツマン法による熱対流の数値解析 (熱対流の数理 : 流れ場の構造)
    蔦原 道久, 馮 士徳, 片岡 武, 高田 尚樹
    京都大学, Nov. 1999, 数理解析研究所講究録, 1115, 111 - 119, Japanese

  • Numerical Simulation of Benard Convection by Thermal Lattice Boltzmann Model
    TSUTAHARA Michihisa, FENG Shi-de, KATAOKA Takeshi
    29 Jul. 1999, 年会一般講演, 18, 333 - 334, Japanese

  • On the Transverse Instability of Solitary Waves in the Generalized Kadomtsev-Petviashvili equation
    KATAOKA Takeshi, TSUTAHARA Michihisa
    29 Jul. 1999, 年会一般講演, 18, 469 - 470, Japanese

  • Finite-amplitude Internal Waves Resonantly Excited by Three-dimensional Topography 〜Derivation of Evolution Equation and its Solution〜
    KATAOKA Takeshi, TSUTAHARA Michihisa, AKUZAWA Tomonori
    29 Jul. 1999, 年会一般講演, 18, 467 - 468, Japanese

  • Horizontal Propagation of wave modes in a stratified fluid
    KATAOKA Takeshi, TSUTAHARA Michihisa
    Jul. 1998, 年会一般講演, 17, 345 - 346, Japanese

  • Numerical Analysis of Upstream Columnar Disturbances in a Sink Flow of a Stratified Fluid
    KATAOKA Takeshi, TSUTAHARA Michihisa, MIZUTANI Satoshi
    Jul. 1997, 年会一般講演, 16, 523 - 524, Japanese

  • Point sink flows in a stratified fluid
    TSUTAHARA Michihisa, KATAOKA Takeshi
    Jul. 1996, 年会一般講演, 15, 473 - 474, Japanese

  • Dynamics of Establishment of Blocked Flow in a Stratified Fluid
    TSUTAHARA Michihisa, KATAOKA Takeshi
    Jul. 1996, 年会一般講演, 15, 477 - 478, Japanese

■ Lectures, oral presentations, etc.
  • 海洋中を伝わる内部波ビームの3次元的安定性
    KATAOKA Takeshi, AKYLAS Triantaphyllos R
    第30回数値流体力学シンポジウム, Dec. 2016, Japanese, Domestic conference
    Oral presentation

  • 3D instability of internal gravity wave beams
    AKYLAS Triantaphyllos R, KATAOKA Takeshi, FAN Boyu
    69th Annual Meeting of the APS Division of Fluid Dynamics, Nov. 2016, English, International conference
    Oral presentation

  • 内部波ビームの3次元的不安定性（粘性を伴う新しいメカニズム）
    KATAOKA Takeshi, AKYLAS Triantaphyllos R
    日本流体力学会年会2016, Sep. 2016, Japanese, Domestic conference
    Oral presentation

  • Three-dimensional Instability of Internal Wave Beams
    KATAOKA Takeshi, AKYLAS Triantaphyllos R
    Mini-Workshop on Nonlinear Waves in Fluids, Kyoto, May 2016, English, International conference
    Oral presentation

  • Stability of internal wave beams to 3D perturbations
    KATAOKA Takeshi, AKYLAS Triantaphyllos R
    Kinetic Theory and Fluid Dynamics: From micro to macroscopic modeling, May 2016, English, International conference
    Oral presentation

  • 自由分子型運動学的スキームによる三次元圧縮性流体解析
    HANADA Takaya, KATAOKA Takeshi
    日本機械学会関西支部 第91期定時総会講演会, Mar. 2016, Japanese, 寝屋川, Domestic conference
    Oral presentation

  • 内部波ビームの弱３次元的な時間発展とその特徴
    KATAOKA Takeshi, AKYLAS T. R
    第29回数値流体力学シンポジウム, Dec. 2015, Japanese, 福岡, Domestic conference
    Oral presentation

  • 孤立波の横方向不安定性と波の崩れる仕組み
    KATAOKA Takeshi
    神戸大学工学フォーラム2015, Oct. 2015, Japanese, 神戸, Domestic conference
    Public discourse

  • 傾斜円柱の振動により誘起される内部波
    KATAOKA Takeshi, AKYLAS T. R
    京都大学数理解析研究所研究集会”非線形波動現象の数理に関する最近の進展”, Oct. 2015, Japanese, 京都, Domestic conference
    Oral presentation

  • 有限長さの円柱振動により誘起される内部波
    KATAOKA Takeshi, AKYLAS T. R, PEACOCK T, HOLZENBERGER N
    日本流体力学会年会2015, Sep. 2015, Japanese, 東京, Domestic conference
    Oral presentation

  • 自由分子型運動学的スキームによる圧縮性流体解析
    HANADA Takaya, KATAOKA Takeshi
    第４７回流体力学講演会／第３３回航空宇宙数値シミュレーション技術シンポジウム, Jun. 2015, Japanese, 東京, Domestic conference
    Oral presentation

  • 内部波ビームの弱３次元的な時間発展とその特徴
    KATAOKA Takeshi, Triantaphyllos R. Akylas
    第28回数値流体力学シンポジウム, Dec. 2014, Japanese, 東京, Domestic conference
    Oral presentation

  • ３次元内部波ビームと誘起される平均流
    KATAOKA Takeshi, Triantaphyllos R. Akylas
    京都大学数理解析研究所研究集会 非線形波動現象のメカニズムと数理, Oct. 2014, Japanese, 京都, Domestic conference
    Oral presentation

  • 自由分子型運動学的スキームによる鈍頭物体まわりの超音速流れシミュレーション
    花田卓弥, KATAOKA Takeshi
    第63回理論応用力学講演会, Sep. 2014, Japanese, 東京, Domestic conference
    Oral presentation

  • 空間３次元的な依存性をもつ内部波ビームの時間発展
    KATAOKA Takeshi, Triantaphyllos R. Akylas
    日本流体力学会年会2014, Sep. 2014, Japanese, 仙台, Domestic conference
    Oral presentation

  • Three-dimensional instability of solitary water waves
    KATAOKA Takeshi
    Seminar presentation in University of Oslo, Aug. 2014, English, International conference
    Public discourse

  • Resonance curves of finite-amplitude gravity waves in shallow-water limit
    KATAOKA Takeshi
    Theory of water waves, Isaac Newton institute for mathematical Sciences, Jul. 2014, English, Cambridge, International conference
    Oral presentation

  • Three-dimensional time evolution of internal wave beams
    KATAOKA Takeshi, Akylas, T. R
    第27回数値流体力学シンポジウム, Dec. 2013, Japanese, 日本流体力学会, Tokyo, Time evolution of four straight internal wave beams stretching radially outwards from the source of forcing is studied on the basis of the Euler set of equations for a uniformly stratified Boussinesq fluid. The source strength varies slowly along the transverse horizontal direction, so that the induced wave beams are subject to slow modulations in the transverse direction. Usin, Domestic conference
    Oral presentation

  • Three-dimensional stability of inernal wave beams
    KATAOKA Takeshi, Akylas, T. R
    京都大学数理解析研究所研究集会”非線形波動現象の数理と応用”, Oct. 2013, Japanese, 京都大学数理解析研究所, Kyoto, 一様な密度成層流体中を伝播する内部波ビームの３次元撹乱に対する線形安定性を取り扱った。具体的には，撹乱の波長がビームの幅に比べて十分長い場合を仮定し，漸近理論を駆使してEuler方程式系を基に変調安定性を調べた。その結果，一方向のみにエネルギーを伝える進行波ビームは，振幅がある値を超えると変調不安定となり，両方向にエネルギーを伝える定在波ビームは，任意の振幅において変調不安定となることが分かった．, Domestic conference
    Oral presentation

  • Modulational stability of internal wave beams
    KATAOKA Takeshi, Akylas, T. R
    日本流体力学会年会2013, Sep. 2013, Japanese, 日本流体力学会, Tokyo, The linear stability to three-dimensional disturbances of a uniform, plane internal wave beam in a stratified fluid with constant buoyancy frequency is considered. The associated eigenvalue problem is solved asymptotically, assuming perturbations of long wavelength relative to the beam width. In this limit, instability arises solely due to perturbations along different directio, Domestic conference
    Oral presentation

  • 内部波ビームの不安定性
    KATAOKA TAKESHI, Triantaphllos R. Akylas
    第26回数値流体力学シンポジウム, 2012, Japanese, Domestic conference
    Oral presentation

  • 回転系における密度成層流体の吸い込み流れ
    山口将輝, 伊藤遼平, KATAOKA TAKESHI, 道脇昭, 西原裕貴
    第90期日本機械学会流体工学部門講演会, 2012, Japanese, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法によるBVI の数値解析
    TAMURA Akinori, TSUTAHARA Michihisa, KATAOKA Takesh, AOYAMA Takeshi, YANG Choongmo
    第39回流体力学講演会, Jun. 2007, Japanese, 日本航空宇宙学会, 東京都, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法によるスリット及び穴あき円柱から生じる空力温の直接計算
    田村 明紀, 蔦原 道久, 片岡 武, 四方 憲治, 近藤 崇匡
    日本流体力学会年会2004, Aug. 2004, Japanese, 日本流体力学会, 名古屋大学, Domestic conference
    Oral presentation

  • 二層流体中を伝播する内部孤立波の線形安定性に関する研究
    蔦原 道久, 片岡 武, 高橋 裕司
    日本機械学会関西支部第80期定時総会講演会, Mar. 2004, Japanese, 日本機械学会関西支部, 京都大学, Domestic conference
    Oral presentation

  • 回転二重同心円筒内流体の吸い込み湧き出し流れ
    蔦原 道久, 片岡 武, 後藤 隆宏
    日本機械学会関西支部第80期定時総会講演会, Mar. 2004, Japanese, 日本機械学会関西支部, 京都大学, Domestic conference
    Oral presentation

  • 内部孤立波の鉛直壁面による反射
    西原 裕典, 蔦原 道久, 片岡 武
    日本機械学会関西支部第79期定時総会講演会, 2004, Japanese, 日本機械学会, 未記入, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法によるエッジ音の直接計算
    蔦原 道久, 片岡 武, 田村 明紀, 四方 憲治
    日本機械学会2004年度年次大会, 2004, Japanese, 日本機械学会, 北海道大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法における数値拡散について
    蔦原 道久, 四方 憲治, 片岡 武
    第53回理論応用力学講演会, 2004, Japanese, 日本学術会議, 日本学術会議, Domestic conference
    Oral presentation

  • 希薄気体におけるクヌッセンポンプの光学的応用に関する研究
    蔦原 道久, 小川 和彦, 片岡 武, 小路 雅一, 酒井 良英, 桐村 宗孝
    日本機械学会関西支部第79期定時総会講演会, 2004, Japanese, 日本機械学会, 未記入, Domestic conference
    Oral presentation

  • クヌッセンコンプレッサーの宇宙空間利用に関する研究
    片岡 武, 蔦原 道久, 小川 和彦, 山本 佳史, 小路 雅一, 酒井 良英
    第53回理論応用力学講演会, 2004, Japanese, 日本学術会議, 日本学術会議, Domestic conference
    Oral presentation

  • 二層流体中を伝播する内部孤立波の線形安定性について
    蔦原 道久, 片岡 武, 大橋 正宣
    日本機械学会関西支部第78期定時総会講演会, Mar. 2003, Japanese, 日本機械学会関西支部, 大阪, Domestic conference
    Oral presentation

  • 取水口移動による選択取水効果の数値的研究
    蔦原 道久, 片岡 武, 板垣 要司
    日本機械学会関西支部第78期定時総会講演会, Mar. 2003, Japanese, 日本機械学会関西支部, 大阪, Domestic conference
    Oral presentation

  • 希薄気体におけるクヌッセンポンプの応用に関する研究
    蔦原 道久, 小川 和彦, 片岡 武, 山本 佳史, 小路 雅一, 酒井 良英
    日本機械学会関西支部第78期定時総会講演会, Mar. 2003, Japanese, 日本機械学会関西支部, 大阪, Domestic conference
    Oral presentation

  • 乱流にデルを組み込んだ差分格子ボルツマン法に関する研究
    蔦原 道久, 片岡 武, 中川 健太郎
    日本機械学会第16回計算力学講演会, 2003, Japanese, 日本機械学会, 神戸大学, Domestic conference
    Oral presentation

  • 密度成層流体中の内部孤立波の安定性
    片岡 武, 蔦原 道久, 大橋 正宣
    第51回理論応用力学講演会, 2003, Japanese, 日本学術会議 メカニクス・構造研究連絡委員会, 日本学術会議, Domestic conference
    Oral presentation

  • 内部自由度を持つ差分格子ボルツマンモデルによる低マッハ数における空力音の直接計算
    蔦原 道久, 四方 憲治, 片岡 武
    第17回数値流体力学シンポジウム, 2003, Japanese, 日本流体力学会, 国立オリンピック記念青少年センター, Domestic conference
    Oral presentation

  • 内部孤立波の安定性
    片岡 武, 蔦原 道久
    日本流体力学年会’03, 2003, Japanese, 日本流体力学会, 工学院大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法の3次元圧縮性モデルによる流体音の直接計算
    蔦原 道久, 四方 憲治, 片岡 武
    2003年度日本機械学会年次大会 Mechanical Engineering Congress, 2003, Japanese, 日本機械学会, 徳島大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法による乱流の直接計算に関する研究
    蔦原 道久, 片岡 武, 李 方
    日本機械学会第16回計算力学講演会, 2003, Japanese, 日本機械学会, 神戸大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法による界面活性剤のSISに関する研究
    蔦原 道久, 片岡 武, 田村 明紀
    日本機械学会第16回計算力学講演会, 2003, Japanese, 日本機械学会, 神戸大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法によるエッジ音の直接計算
    蔦原 道久, 四方 憲治, 片岡 武
    第81回日本機械学会流体工学部門講演会, 2003, Japanese, 日本機械学会, 関西大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法によるウェッジボックス周りの流れの数値解析
    蔦原 道久, 中川 健太郎, 片岡 武
    2003年度日本機械学会年次大会 Mechanical Engineering Congress, 2003, Japanese, 日本機械学会, 徳島大学, Domestic conference
    Oral presentation

  • 差分格子ボルツマン法による3次元物体周りから発生する音波の直接計算
    蔦原 道久, 四方 憲治, 片岡 武
    第40回日本航空宇宙学会関西・中部支部合同秋期大会, 2003, Japanese, 日本航空宇宙学会, 神戸大学, Domestic conference
    Oral presentation

  • 格子ボルツマン法における比熱比可変モデルの提案
    片岡 武, 蔦原 道久
    第35回流体力学講演会, 2003, Japanese, 日本流体力学会, 東京工業大学, Domestic conference
    Oral presentation

■ Research Themes
  • Mathematical models of fully nonlinear and unsteady phenomena of ocean waves and their verification
    村重 淳, 片岡 武, 宝谷 英貴, 柿沼 太郎, 丸野 健一
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Ibaraki University, 01 Apr. 2024 - 31 Mar. 2027

  • Mathematical models and their verifications for fully nonlinear and unsteady motion of ocean waves
    村重 淳, 片岡 武, 宝谷 英貴, 柿沼 太郎, 丸野 健一
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Ibaraki University, 01 Apr. 2022 - 31 Mar. 2027

  • 片岡 武
    学術研究助成基金助成金／基盤研究(C), Apr. 2018 - Mar. 2023, Principal investigator
    Competitive research funding

  • Mathematical models of large-amplitude and nonlinear ocean waves
    村重 淳, 片岡 武, 井口 達雄, 柿沼 太郎, 丸野 健一
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Ibaraki University, 01 Apr. 2017 - 31 Mar. 2022
    本研究の目的は，海洋における大振幅波動の本質（非線形性と分散性）をとらえた数理モデルを導出し，その数理解析を行うことである．令和3年度（最終年度）は以下の三つのテーマについて研究を実施した．研究成果は，発表論文6件（査読有5件，国際共著4件），学会発表21件（招待講演2件，国際講演6件）で公表されている．研究の概要は以下の通りである． 1. 数学モデル：(1)水面上に浮体がある場合の浅水波モデルの適切性を示した（井口）．(2)航跡波（一定速度で動く波源から放射される定常波）の定式化と数値計算を行い，非線形性が強いことを明らかにした（片岡）．(3)KP方程式の曲線波ソリトンの高次解を導出し，直線波ソリトンとの相互作用を調べた（太田）．(5)KP方程式の2重線ソリトンの安定性を明らかにした（水町）． 2. 内部波：密度の異なる2層流体の界面波の線形安定性を複素解析の手法を用いて数値的に調べ，Kelvin-Helmholtz タイプの不安定性が支配的であることを示した（村重）． 3. 大振幅・非線形波動の数値計算：(1)鉛直方向に流速が変化するシアー流上で発生する parasitic capillary waves（進行波の前面で発生する波長の短い表面張力波）の特徴を数値計算で明らかにした（村重）．(2)表面波・内部波共存場の孤立波の特徴を，磯部・柿沼モデルの数値計算を用いて示した（柿沼）．(3)津波（地すべり津波，河川を遡上する津波，浅瀬が存在する島嶼に入射する津波）の大振幅・非定常運動の特徴を数値計算で示した（柿沼）．(4)自己適合移動格子（急激に波形が変化する領域で格子間隔を自動的に調節する方法）の一般化（境界条件，時空間変数の全離散化）を行った（丸野）．(5)前進する船の先端付近で発生する砕波の特徴を，Navier-Stokes 方程式の直接計算により明らかにした（日野）．

  • 片岡 武
    科学研究費補助金／基盤研究(C), Apr. 2012 - Mar. 2015, Principal investigator
    Competitive research funding

  • 片岡 武
    科学研究費補助金／若手研究(B), 2010, Principal investigator
    Competitive research funding

  • 蔦原 道久
    科学研究費補助金／挑戦的萌芽研究, 2009
    Competitive research funding

  • 片岡 武
    科学研究費補助金／若手研究(B), 2005, Principal investigator
    Competitive research funding

  • 熱遷移流を利用した常圧空気のポンプおよびコンプレッサーの試作
    片岡 武
    日本学術振興会, 科学研究費助成事業, 若手研究(B), 神戸大学, 2003 - 2004
    常圧下における実験を行う前の準備段階として,まずは低度に希薄な気体中で熱遷移流を生じさせるための実験をおこなった.流れを生じさせるデバイスとして,微小な間隔で並べた平板を用いた.平板同士の間隔は0.1mmのオーダーのものを数パターン採用した.ヒーターおよび冷半導体を用いて平板列の両端に温度差を与え,その温度勾配により熱遷移流が生じることを確認した.次にこの平板列を1ユニットとし,長い直管内に等間隔で数ユニット配置した.数ユニット配置することにより,上流,下流間の圧力差を大きくするようにした.この装置では,管内に配置されたユニット間のつなぎ目の空間に逆の温度勾配が働くが,そこでは代表長さが長いために流れに対する駆動力が働かない.つまり逆方向の熱遷移流は誘起されない.よって温度分布を周期的に設定することができ,装置全体の温度差を低く押さえることができた.円管の上流側を,新たに製作した気密容器につなぎ,下流側を大気に解放し,上流側の圧力を測定することにより,排気装置としての性能を調べた.1.1倍程度の圧力上昇を測定した. 次にユニット間の距離,平板間距離,温度分布,および様々な運転条件における圧力上昇の依存性を知るために,モンテカルロ直接シミュレーションによる数値実験をおこなった.それによると,系の希薄度を表すパラメータであるKnudsen数が0.1程度のときに最大の圧力上昇度が得られることなどを明らかにした.今後は,上記した基礎実験,および数値実験による知見をもとにして,常圧下における熱遷移流を利用したコンプレッサーを試作する予定である.

  • 格子ボルツマン法による界面活性物質の流体摩擦抵抗減メカニズムの解明
    蔦原 道久, 片岡 武, 小川 和彦, 東 恒雄
    日本学術振興会, 科学研究費助成事業, 萌芽研究, 神戸大学, 2002 - 2003
    差分格子ボルツマン法での計算では、層流計算において見かけ上の粘性係数が変化するSIS 現象を再現することができた。2次元クエット流れに、界面活性剤の棒状ミセルのモデルとして、自由な変形を許すひも状の物体を潜入し壁面に働く平均の努断応力を求めた。それにより、あるレベルまで剪断が強くなると剪断応力が急増し、見かけ上の粘性係数が増加する現象がみられた。それ以上剪断が強くなると、ミセル表面で液の滑りが生じ、見かけ上の粘性係数は減少に転じることも確認された。一方、乱流の直接計算では2次元及び3次元等方性乱流のシミュレーションを行った。2次元計算ではエネルギースペクトルが時間によって-3乗則および-4乗側と変化する。また逆カスケード現象もとらえられた。3次元では-5/3乗側の成立する領域が存在することが確認できた。また実験や、他の計算との比較も良好であった。サブグリッドモデルを組み込んだ計算では、チャネル流れ正方形物体周りの流れも、満足のいく結果が得られた。 2次元クエット乱流に、界面活性物質を混入した計算では、流れ方向の乱れはそれほど抑えられていないが、流れに垂直な方向の乱れは大きく抑制され、実験により得られている結果を再現した。 実験では、水の場合にレイノルズ数Re=14000まで層流を維持できる管路の助走区間にリング状突起物を設置して強制的に乱れを与え,遷移の初期段階で断続的に発生しはじめる乱流塊の性質や挙動に及ぼす界面活性剤添加の影響を調べた.界面活性剤としてCH_3(CH_2)_<13>N(CH_3)_3Brを用いた.LDVと参照用熱線流速計により成長速度を測定した.その結果,(1)濃度250ppm以下では界面活性剤添加の影響は現れない,(2)250ppm以上では乱流塊が発生しはじめるReは濃度とともに増大するが,400ppmを越えると明確な乱流塊は発生しない,(3)300〜400ppm水溶液では遷移初期に発生しはじめる乱流塊はスラグからパフに転化する,ことがわかった.

  • A Study on Improvement of Performance of Ship Propulsion Device Directly Driven by Steam
    TSUTAHARA Michihisa, SAKAMOTO Masahiko, KATAOKA Takeshi, OGAWA Kazuhiko
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Kobe University, 2001 - 2003
    By visualizing the flow inside the nozzle by high-speed video camera, it is shown that the flow is not a mixed flow of air and water but a flow in which the air and the water are separated and waves with large amplitude appear on the interface. These waves close the air flow and the pressure rises and the pressure accelerate the water, towards downstream. It is also shown that the mechanism in accelerating the water is not mixing but the volume of water accelerated by air pressure without mixing. So the loss is smaller than the mixing mechanism. The case of intermittent emission, the thrust itself does not increase, but the propulsive efficiency considering the emission duration, the operation of intermittent emission is better. The numerical simulation by the finite difference lattice Boltzmann model for two fluids gives good results. On the interface between the two fluids, large-amplitude waves appear. But in this model the densities of the two fluids are the same, then we tried to improved the two-fluid model. The density difference corresponds to the acceleration difference, so by modifying the acceleration the density difference can be simulated. For single-phase flows, this technique is shown to be successful. A new model with choosing specific heats for multi-atomic gas is also introduced.

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