A Formula for Estimation of Truncation Errors of Convection Terms in a Curvilinear Coordinate System
Abstract
A formula for truncation errors of convection terms arising from the NavierStokes equation in a curvilinear coordinate system is derived. These truncation error terms are interpreted in terms of grid size, grid uniformity, grid line angle, flow angle, and derivatives of flow properties to gain physical insights from the formula. The role of these factors in determining truncation errors is discussed. It is shown that an optimal grid arrangement cannot be obtained without considering the interactions between the grid and the flow field. The effect of the grid orthogonality on truncation errors is also analyzed for simple cases. The derived formula provides a useful indicator for truncation error distribution which yields guidelines for grid adaption.
 Publication:

Journal of Computational Physics
 Pub Date:
 January 1992
 DOI:
 10.1016/00219991(92)90175X
 Bibcode:
 1992JCoPh..98...90L
 Keywords:

 Computational Fluid Dynamics;
 Convection;
 Coordinates;
 Grid Generation (Mathematics);
 Truncation Errors;
 Adaptation;
 Computational Grids;
 Curve Fitting;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer