Mitsuo Yokokawa

TL;DR: In this article, direct numerical simulations of incompressible homogeneous turbulence in a periodic box with up to 40963 grid points were performed on the Earth Simulator computing system, and the results showed that the normalized mean energy dissipation rate per unit mass tends to a constant, independent of the fluid kinematic viscosity.

TL;DR: In this article, the authors analyzed the one-point statistics of velocity gradients and Eulerian and Lagrangian accelerations by analyzing the data from high-resolution direct numerical simulations of turbulence in a periodic box, with up to 4096 3 grid points.

TL;DR: The high-resolution direct numerical simulations of incompressible turbulence with numbers of grid points up to 40963 have been executed on the Earth Simulator, based on the Fourier spectral method, and yields an energy spectrum exhibiting a wide inertial subrange, in contrast to previous DNSs with lower resolutions, and therefore provides valuable data for the study of the universal features of turbulence at large Reynolds number.

TL;DR: Direct numerical simulations with 12,288{}^{3}$ grid points up to ε = 2300$ find small systematic differences from Kolmogorov's scaling of the inertial range of the energy spectrum.

TL;DR: The K computer is a distributed memory supercomputer system consisting of more than 80,000 compute nodes which is being developed by RIKEN as a Japanese national project and its performance is aimed at achieving 10 peta-flops sustained in the LINPACK benchmark.