Advantage of FDS when resolving boundary layers. Second-order slope-limited schemes: positive coefficients and 1st-order at extrema. Total Variation Diminishing (TVD) schemes

Numerical error vs physical error. How to assess solution convergence error. Determination of discretization error using solutions on two grid levels. Grid Convergence Index (GCI).

13.

Estimate of order of accuracy using 3 mesh levels. Asymptotic range of convergence.