流速・圧力同時緩和法による非ニュートン流れの三次元有限要素解析 : べき乗則流体の急縮小円管内流れ

抄録

A simple and low-storage finite-element method for three-dimensional incompressible non-Newtonian flow is presented. The present method employs the rational Runge-Kutta scheme for time integration and simultaneous relaxation method of velocity and pressure for the incompressible condition. In order to reduce computational storage, coefficient matrices are calculated by simple integration formulas which are applicable to large systems. Flow of power-law fluids through an axisymmetric abrupt contruction is calculated to confirm the present method. The present method is stable in numerical simulation of power-law fluids, and the numerical results agree with other numerical results.