壁面条件が埋め込まれた新しい流れ基礎方程式

－すべりあり／なし条件の定式と実装－

抄録

This re search propose s a new fundamen ta l equation that can be so lved with a f inite resolution grid in a f low f ield in which a solid region is immerse d. He re, th e so lid boundary is d efined not as a wall condition but as an interfacial layer r egion with a finite thickne ss by a level-set func tion. A new fundamental equation for the flow is derived. Stable numer ical ca lculations of the model equations corresponding to the wall conditions with and without slip ar e verified on a two-dimensional equ idistant gr id without using upwind diff erencing, artificial viscosity, or additional filter operations.