異方性を有する解析解を用いた非圧縮性流れにおける粘性項発散の誤差の影響調査

抄録

We study effects of the divergence of the viscous terms on the incompressible flow. Here the set of the exact solution, of which the flow has global anisotropy, is applied to specify the effects. The anisotropy of the exact solution could be controlled by using a parameter. Firstly, the present framework of the simulation is verified. Then the numerical results are shown. The divergence of the viscous term reduces decreasing kinetic energy of the flow. The effects on the kinetic energy are hardly affected by the initial anisotropy. However, a temporal evolution of the anisotropy is produced due to the divergence of the viscous terms, which should be constant in the exact solution without the divergence. The divergence of the viscous terms increases the anisotropy of the flow field.