- 2020 - 2023 New perspectives of universality and dynamics of homogeneous turbulence at high Reynolds number
- 2017 - 2021 Computational physics on universality of three-dimensional homogeneous anisotropic turbulence at large and small scales
- 2017 - 2021 Development of a multiphysics fluid simulation method: A wavelet viewpoint
- 2016 - 2021 New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics
- 2015 - 2018 Computational science of inertial particle clustering in high Reynolds number turbulence
- 2014 - 2017 Turbulent/non-turbulent interface in magnetohydrodynamic channel flow in an imposed magnetic field
- 2012 - 2017 Mathematical Theory of turbulence by the method of modern analysis and computational science
- 2013 - 2016 Computational study on dynamics of anisotropic turbulence and development of turbulence modeling
- 2011 - 2015 Computational Science for understanding the vortical structure and vortex dynamics in high Reynolds-number turbulence
- 2010 - 2012 Computational science of fully developed magnetohydrodynamic turbulence: examination of its universality and development of turbulent modeling method
- 2008 - 2012 Theory of global well-posedness on the nonlinear partial differential equations
- 2008 - 2010 Study of universality in turbulent flows at high Reynolds number from the view point of computational science
- 2008 - 2009 Application of wavelet analysis to turbulence : Development of turbulent modeling and its validation
- 2005 - 2007 New Development in Computational Physics of Turbulence
- 2005 - 2006 Development of numerical-simulation method of high-Reynolds-number turbulence based on ultra-scale direct numerical simulations of turbulence
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