The Boundary Layer Equations and a Dimensional Split Method for Navier-Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid

• 作者: Hao Chen Hongzhou Fan Jian Su Kaitai Li Weibing Feng
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Boundary Layer EQUATIONS DIMENSIONAL SPLIT METHOD Navier-Stokes EQUATIONS DIMENSIONAL Two Manifold
• 年，卷（期）: 2015,（1）
• 页码范围: 48-87
• 页数: 40页
• 分类号: O1

摘要

In this paper, the boundary layer equations (abbreviation BLE) for exterior flow around an obstacle are established using semi-geodesic coordinate system (S-coordinate) based on the curved two dimensional surface of the obstacle. BLE are nonlinear partial differential equations on unknown normal viscous stress tensor and pressure on the obstacle and the existence of solution of BLE is proved. In addition a dimensional split method for dimensional three Navier-Stokes equations is established by applying several 2D-3C partial differential equations on two dimensional manifolds to approach 3D Navier-Stokes equations. The examples for the exterior flow around spheroid and ellipsoid are presents here.