THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS

• 作者: Aixiang(黄艾香) Huang Kaitai(李开泰) Li
• 来源期刊: 西安交通大学学报：英文版
• 学科: 物理学
• 关键词: STREAM layer STREAM surface 2D MANIFOLD NAVIER-STOKES EQUATIONS dimen-sion SPLIT method.
• 年，卷（期）: 2002,（2）
• 页码范围: 89-100
• 页数: 12页
• 分类号: O357.1

摘要

In this paper,we proposal stream surface and stream layer. By using classical tensor calculus, we derive 3-D Navier-Stokes Equations(NSE) in the stream layer under semigeodesic coordinate system, Navier-Stokes equation on the stream surface and 2-D Navier-Stokes equations on a two dimensional manifold. After introducing stream function on the stream surface, a nonlinear initial-boundary value problem satisfies by stream function is obtained, existence and uniqueness of its solution are proven. Based this theory we proposal a new method called "dimension split method" to solve 3D NSE.