About the (in)accuracy of loworder conservative discretization schemes
Abstract
It is shown that a secondorder accurate loworder discretization of the steady state compressible NavierStokes equations may not lead to an accurate approximation of its solution, and that it is the relative magnitude of truncation error terms rather than the convergence rate of the scheme that is the important parameter deciding the accuracy of prediction of the solution. An approach is adopted to minimize rather than eliminate the loworder truncation errors. Preserving the essential features of the original equations, an optimal loworder conservative discretization scheme is developed which is almost free of numerical diffusion and is fairly insensitive to the grid design. Good results are obtained for the backward facing step problem.
 Publication:

Numerical Methods in Fluid Mechanics
 Pub Date:
 1986
 Bibcode:
 1986nmfm.conf....1B
 Keywords:

 Computational Fluid Dynamics;
 Convergence;
 Discrete Functions;
 NavierStokes Equation;
 Steady State;
 Computational Grids;
 Partial Differential Equations;
 Truncation Errors;
 Fluid Mechanics and Heat Transfer