Criteria for Adequacy of Finite Difference Schemes for
Convection-Diffusion Equations

Yair Shapira
Los Alamos National Laboratory
Mail Stop B-256
Los Alamos, NM 87545


Finite difference schemes for singularly perturbed convection problems are studied in the limit case in which the viscosity approaches zero with the mesh-size. The error estimates allow choosing in advance appropriate schemes and mesh-resolutions for both boundary layer problems and circulating flow problems.

Contributed April 8, 1998.