TITLE:
The Boundary Layer Equations and a Dimensional Split Method for Navier-Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid
AUTHORS:
Jian Su, Hongzhou Fan, Weibing Feng, Hao Chen, Kaitai Li
KEYWORDS:
Boundary Layer Equations, Dimensional Split Method, Navier-Stokes Equations, Dimensional Two Manifold
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.4 No.1,
March
20,
2015
ABSTRACT: 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.