Governing equations of fluid mechanics in physical curvilinear coordinate system

Abstract

This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on governing equations in a physical curvilinear coordinate system are less mesh sensitive than other schemes.

Keywords

• Physical curvilinear coordinate systems
• indent incompressible flows
• transformations.