Adaptive curvilinear grids for large Reynolds number viscous flows

The study is concerned with second order convection-diffusion problems where a loss of accuracy at increasing Re is caused by the predominance of first order terms. The objective is to define a rational criterion for the selection of appropriate coordinate transformations so as to eliminate the domination of first derivative terms in the resulting set of difference equations. An analysis of the steady-state transport equation of a scalar quantity is followed by an analysis of the Navier-Stokes equation (for steady and unsteady problems), with both equations leading to the same kind of velocity-driven coordinate transformation.