Adaptive curvilinear grids for large Reynolds number viscous flows
Abstract
The study is concerned with second order convectiondiffusion 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 steadystate transport equation of a scalar quantity is followed by an analysis of the NavierStokes equation (for steady and unsteady problems), with both equations leading to the same kind of velocitydriven coordinate transformation.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1982
 DOI:
 10.1007/3540119485_52
 Bibcode:
 1982LNP...170..414P
 Keywords:

 Computational Fluid Dynamics;
 Computational Grids;
 Coordinate Transformations;
 High Reynolds Number;
 Spherical Coordinates;
 Viscous Flow;
 Cartesian Coordinates;
 NavierStokes Equation;
 Transport Properties;
 Fluid Mechanics and Heat Transfer