【摘要】 本文导出了一种与涡传输方程的ADI格式相协调的流函数方程的四阶精度五点紧致差分格式,并导出了与此相容的速度差分方程及三阶精度的壁涡公式,以及在非网格边界点上的壁涡公式与相邻内点的涡传输差分方程和流函数差分方程。本文成功地用此方法对某新型纺纱器罩壳内的流动作了数值计算。其结果与流场显示法的实验结果(照片)基本符合,对新型纺纱的理论研究以及罩壳的合理改型提供了可靠的依据。更多还原

【Abstract】 In this paper the following are presented: the fourth-order accuracy 5-point compact finite difference scheme of the stream function equation relating to the vorticity transport equation, the fourth-order accuracy finite difference equation of velocity and the third-order accuracy wall vorticity formula relating to the stream function scheme, and the vorticity transport and stream function finite difference equations at the node adjacent to the wall not based on node. It is succesfully applied to calculating, the flow field in a new spinning operator, and the numerical solution fundamentally agrees with that showed on the experiment photo.更多还原