Science based on the high-level use of computers is called “computational science.” The methods of computational science allow us to solve problems that could not be solved with conventional theoretical methods, such as nonlinear equations, and to obtain accurate and detailed information that cannot be obtained experimentally. Computational science gives us a third method to be placed alongside theory and experiment, and beyond its various practical applications, it is already contributing greatly to the development and spread of new concepts and principles, seen for example in soliton and chaos research.  

Our　research project aims to open the way to innovative academic fields with three overlapping meanings:

1)  the high-level use of fast-evolving computers,

2)  the ability to deal with new super degrees of freedom systems, which have degrees of freedom orders of magnitude greater than those to date, and

3)  the opening of new cognitive methods based on non-empirical computational science.

• N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge and Y. Kaneda, Coherent Vortices in High Resolution Direct Numerical Simulation of Homogeneous Isotropic Turbulence: A Wavelet Viewpoint, Physics of Fluids, 19, 2007, 115109-1_13.

• T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura and A. Uno, Small-Scale Statistics in High-Resolution Direct Numerical Simulation of Turbulence: Reynolds Number Dependence of One-Point Velocity Gradient Statistics, J. Fluid Mech. 592, 2007, 335-366.

• Yukio Kaneda, Hiroshi Kawamura, Masaki Sasai, Frontiers of Computational Science; Proceedings of International Symposium on Frontiers of Computational Science 2005、Springer, (2007).

• Y. Kaneda: Lagrangian renormalized approximation of turbulence, Fluid Dynamics Research, 39 (7), 526-551, 2007.
  
  
• T. Ishida, P. A. Davidson and Y. Kaneda: On the decay of isotropic turbulence, Journal of Fluid Mechanics, 564 , 455-475, 2006.
  
  
• Y. Kaneda and T. Ishihara: High-resolution direct numerical simulation of turbulence, Journal of Turbulence, 7 (20), 1-17, 2006.
  

• Small-Scale Anisotropy in Stably Stratified Turbulence, Y.Kaneda and K.Yoshida, New J. of Physics, 6: (2004) Art. No. 34.
  
  
• Energy Dissipation Rate and Energy Spectrum in High Resolution Direct Numerical Simulations of Turbulence in a Periodic Box, Y.Kaneda, T.Ishihara, M.Yokokawa, K. Itakura, and A.Uno, Phys.Fluids, 15 (2003) pL21-L24.
  
  
• Statistical Theories and Computational Approaches to Turbulence; Modern Perspectives and Applications to Global-Scale Flows, Y.Kaneda and T.Gotoh, (Editors) p1-409, Springer, (2003).
  
  
• Relative Diffusion of a Pair of Fluid Particles in the Inertial Subrange of Turbulence, T.Ishihara and Y.Kaneda, Phys.Fluids, 14 (2002), pL69-L72.
  
  
• Anisotropic Velocity Correlation Spectrum at Small Scales in a Homogeneous Turbulent Shear Flow, T.Ishihara, K.Yoshida and Y.Kaneda, Phys.Rev.Lett., 88 (2002), p154501-1-4.
  
  
• Suppression of Vertical Diffusion in Strongly Stratified Turbulence, Y.Kaneda and T.Ishida, J.Fluid Mech., 402 (2000), p311-327.
  
  
• Taylor Expansions in Powers of Time of Lagrangian and Eulerian Two-point Two-time Velocity Correlations in Turbulence, Y.Kaneda, T.Ishihara and K.Gotoh, Phys.Fluids 11(1999),  p2154-2166.
  
  
• Singularity Formation in Three-dimensional Motion of a Vortex Sheet, T.Ishihara and Y.Kaneda, J. Fluid Mech., 300(1995), p339-366.
  
  
• Lagrangian and Eulerian Time Correlations in Turbulence, Y.Kaneda, Phys.Fluids A5 (1993), p2835-2845.
  
  
• Lgrangian Velocity Autocorrelation in Isotropic Turbulence, Y.Kaneda and T.Gotoh, Phys.Fluids A8 (1991), p1924-1933.
  
  
• Renormalized Expansions in the Theory of Turbulence with the Use of the Lagrangian Position Function, Y.Kaneda, J.Fluid Mech., 107 (1981), p131-145.