KYUSHU Univ. Research Institute for Applied Mechanics

Division of Nonlinear Dynamics

6-1 Kasuga-koen kasuga Fukuoka 816-8580 JAPAN
FAX +81-92-575-1159
Japanese
Study
Member
Thesis
Contact: Hidekazu TSUJI
tsuji(atmark)riam.kyushu-u.ac.jp

Subjects of Research

We aim to clarify nonlinear dynamics phenomena in fluids by deriving model equations under universal laws, by finding their solutions theoretically or numerically, and by developing fundamental concepts of the phenomena.

Fundamental topics of fluid dynamics are treated and recent research topics are as follows:

  • Statistical characteristics of turbulence with a projection operator method;
  • Nonlinear characteristics of three-dimensional steady progressive water waves, particularly of its limiting profile;
  • Shallow water wave and internal wave in stratified fluid, particularly two-dimensional interaction of solitary waves.

 

Normalized modal time correlation function
Normalized modal time correlation function as a function of the time normalized by the characteristic time: a solution to the model equation under a similarity assumption (blue); direct numerical simulation (red).

 

Normalized modal time correlation function
Three-dimensional steady progressive limiting water wave with harmonic resonance.

 

Normalized modal time correlation function
Two-dimensional interaction of internal solitary waves in two-layer fluid. The large-amplitude solitary wave is generated by the interaction of two solitary waves.

 

Members

Makoto OKAMURA(Assoc.Prof.)

Hidekazu TSUJI(Res. Assoc.)

Agung BUDIYONO(Visiting Researcher)

Tomoaki HIRAKAWA(MC2)

Takaomi AKISHIMA(MC1)

        (Prof. M. OIKAWA retired in Mar. 2010.)

Graduates

Hidekazu TSUJI(MC,1992)

Yukio HIGO(MC,1993)

Takashi ATOBE(DC,1995)

Masahiro SUETSUGU(MC,1995)

Masaru HIRAYAMA(MC,1996)

Yuki KATO(DC,1996)

Manabu INADA(MC,1997))

Kimihiko SATOH(MC,1997)

Yoshihisa NAGAKI(MC,1999)

Yutaka WADA(MC,1999)

Ken-ichi MARUNO(DC,1999)

Kazuto UENO(DC,1999)

Takumi OHKIDO(MC,2001)

Kenji SATOH(MC,2001)

Yoichi KITAHARA(MC,2003)

Kazuhisa OHTSUBO(MC,2003)

Hiroyuki NAGATANI(DC,2007)

Tsuneo SUZUMURA(MC,2007)

Tomoyuki KUBOTA (MC,2008)

Ayumi SAEKI(DC,2010)

Masahiko TANAKA(DC,2010)

 

Titles of Graduation Thesis

  • Master Course

    • Analtical solution of KP II equation

    • Water wave in cylindrical container with vertical forcing

    • Analytical study of resonant interaction of the long and short waves

    • Pattern formation of waterway

    • Application of the nonlinear system theory to the control of rigid body

    • A study for large-scale properties of the Kuramoto-Sivashinsky equation by a projection operator and numerical simulations

    • Evaluation of mean values for a forced pendulum with a projection operator method

    • Numerical simulation for interfacial phenomena using VOF-PLIC method

    • Numerical solution for Swift-Hohenberg type equation

    • Chaos generated by the faraday resonance in two-dimensional standing waves

    • Generation by the topograohic effect in the two-layer fluid with infinite depth

    • Effect of Halo on the density flow model in spiral structure of galaxy

    • Stability of the flow between the eccentric rotating cylinders

    • Analysis of the discrete nonlinear integrable systems by Singularity Confinement Method

    • Higher approximation for resonant interaction of the long and short waves

    • Frequecy downshift in the nonlinear modulational wave

    • Dynamics of the fluid particle with the lee waves in the periodic flow

    • Lagrangian Chaos in the unsteady flow between two eccentric cylinders

    • Solitons in the two-layer fluid and their interactions

  • Ph.D Course

    • Modeling and Numerical Simulation of Formation of Waterway Network

    • Singularity Analysis and Hirota's Bilinear Method for Nonlinear Discrete Systems

    • Scaling law related to the Kolmogolov's turbulent theory and application to model of intermittency

    • Stability of the steady progressive capillary-gravity wave

    • Lagrangian Chaos in the unsteady flow between two eccentric cylinders