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动静圆柱坐标系下Navier-Stokes方程的分区算法
引用本文:刘波,姜健,王掩刚,南向谊.动静圆柱坐标系下Navier-Stokes方程的分区算法[J].工程数学学报,2007,24(4):645-649.
作者姓名:刘波  姜健  王掩刚  南向谊
作者单位:1. 西北工业大学翼型、叶栅空气动力学国防科技重点实验室,西安,710072
2. 中国飞行试验研究院发动机所,西安,710089
基金项目:国家自然科学基金(50476071)
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。

关 键 词:分区算法  Navier-Stokes方程  圆柱坐标系
文章编号:1005-3085(2007)04-0645-05
修稿时间:2005-07-13

Partitioning Algorithm for Navier-Stokes Equations in Relative/Absolute Cylindrical-coordinate Systems
LIU Bo,JIANG Jian,WANG Yan-gang,NAN Xiang-yi.Partitioning Algorithm for Navier-Stokes Equations in Relative/Absolute Cylindrical-coordinate Systems[J].Chinese Journal of Engineering Mathematics,2007,24(4):645-649.
Authors:LIU Bo  JIANG Jian  WANG Yan-gang  NAN Xiang-yi
Abstract: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.
Keywords:partitioning algorithm  Navier-Stokes equations  cylindrical-coordinate system
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