General curvilinear transformation of the navier-stokes equations in a 3D polar rotating frame

摘要

In the present study, the polar form of the governing equations for mass and momentum transfer in strong conservation form are discretized in finite volume form on a general curvilinear mesh. The (kappa) - (epsilon) model equations are treated as well, and the treatment of a generic scalar advection equation may easily be inferred. Rotation about the polar axis is included. The study points out the differences between discretization in Cartesian and polar coordinates. Hence, with this study at hand, a Cartesian implementation may be upgraded to treat both Cartesian and polar systems. (au)