摘要
通过耦合相对和绝对圆柱坐标系下的三维Navier-Stokes方程,本文采用高精度高分辨率的三阶ENN格式及LU-SGS隐式解法进行子域求解;提出了动静子域干涉面的重合处理与重叠处理,并最终发展了一种新的分区算法。通过对某带进口导叶的三级轴流压气机的数值实验,验证了该分区算法的有效性,计算结果与实验数据吻合较好。
A new partitioning algorithm for Navier-Stokes equations in relative/absolute cylindrical-coordinate systems is presented. Navier-Stokes equations in relative and absolute cylindrical-coordinate systems are combined, then uniform equations for rotor areas and stator areas can be used. For the calculation of subareas, a third-order ENN scheme and an implicit LU-SGS method are applied. Our investigation is focused on treatment for rotor and stator interactional surfaces. The partitioning algorithm presented in the paper is demonstrated by numerical experment of a three stages axial flow compressor with an inlet guide vane at a design rotating speed.
出处
《工程数学学报》
CSCD
北大核心
2007年第4期645-649,共5页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(50476071)