粒子法による一次元粘性圧縮性流体の数値シミュレーション

抄録

A particle method is developed for solving the motion equation of one-dimensional viscous compressible fluids. The particles, representing fluid density, are moved with the acceleration derived from the motion equation. The piston problem is treated and creation of shock waves is simulated considering the effects of nonsolenoidal velocity field and of the kinematic viscosity on the density distribution and the velocity distribution. Our study shows that the nonsolenoidal condition, as well as the kinematic viscosity, must be incorporated into the code to obtain smooth solutions, and that with properly chosen parameters, one can create as strong a shock wave as required.