三维自由曲面上特殊点的自然基本矢量  

NATURAL BASIS VECTORS ON 3-D FREE SURFACE WITH SINGULAR NODES

作　　者：韩凤琴[1] 李龙祥[1] 沈娜[1] 久保田乔[1] 

机构地区：[1]华南理工大学电力学院,广东广州510640

出　　处：《工程热物理学报》2009年第8期1315-1318,共4页Journal of Engineering Thermophysics

基　　金：浙江省重大科技专项和优先主题计划项目(No.2008C11057)

摘　　要：冲击式水轮机的水斗是具有三维自由曲面的几何体,在曲面贴体网格(BFG)上,为了正确分析冲击式水轮机的流动,有必要引用非正交曲线坐标系。本论文介绍了如何得到边界贴体网格点的自然基本矢量g。在计算基本矢量的过程中,对三个特殊点进行了研究。对这些点的自然坐标矢量运用对角线进行了重新定义,计算后得到了理想的计算结果。Since a Pelton bucket has the geometry of complicated 3-D flee-curved surface, it is necessary to apply the non-orthogonal curvilinear coordinate system for the boundary-fitted grids （BFG） to perform the accurate flow analysis of Pelton turbines. This paper presents how to acquire the natural basis vector g at the each grid node of the given BFG. Through the process of acquiring g, we found that there are three singular nodes on a boundary curve of the bucket brim. Special attention was required to obtain the reliable natural basis vectors for the singular nodes to complete a whole BFG.

关 键 词：冲击式水轮机 曲面贴体网格 非正交曲线坐标系 自然基本矢量 特殊点 

分 类 号：TK124[动力工程及工程热物理—工程热物理]