Shigeru Takata

Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation

Yoshio Sone, Kazuo Aoki, Shigeru Takata et al. · Physics of Fluids · 1996 · 107 citations

Engineering, Thermal Energy, Heat-conduction Equation +16

Poiseuille-type flow of a rarefied gas between two parallel plates driven by a uniform external force

Kazuo Aoki, Shigeru Takata, Toshiyuki Nakanishi · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · 85 citations

Numerical Analysis, Rarefied Flow, Compressible Flow +15

Shock-wave structure for a binary gas mixture: finite-difference analysis of the Boltzmann equation for hard-sphere molecules

Shingo Kosuge, Kazuo Aoki, Shigeru Takata · European Journal of Mechanics - B/Fluids · 2001 · 82 citations

Rarefied Flow, Engineering, Physics +11

Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules

Shigeru Takata, Yoshio Sone, Kazuo Aoki · Physics of Fluids A Fluid Dynamics · 1993 · 82 citations

Numerical Analysis, Numerical Collision Kernel, Rarefied Flow +15

Numerical analysis of the plane Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for hard-sphere

Yoshio Sone, Shigeru Takata, Taku Ohwada · European Journal of Mechanics - B/Fluids · 1990 · 79 citations

Numerical Analysis, Rarefied Flow, Compressible Flow +10