有限差分法を用いた平行平板間乱流DNSの精度向上について : 粘性項へのCompact Schemeの導入による散逸領域の高解像度化の試み(流体工学,流体機械)  [in Japanese] Improvement of the DNS of Turbulent Channel Flow Using the Finite Difference Method : Introduction of the Compact Scheme to the Viscous Terms for High Spatial Resolution in the Dissipation Range(Fluids Engineering)  [in Japanese]

In an attempt to improve the accuracy in direct numerical simulation (DNS) of fully developed incompressible turbulent channel flow using the finite difference method, the fourth and eighth order central compact schemes with 'spectral-like resolution' have been introduced to the viscous terms, which play an important role in the dissipation range in the near-wall turbulence. The DNSs using the conventional second and fourth order central difference schemes are also conducted for comparison. The results are compared with those obtained by the spectral method. The results show the improvement in accuracy by the introduction of the compact schemes. The remarkable improvements in the power and dissipation spectra are also confirmed in the dissipation range.