Formulation and experiments with high‐order compact schemes for nonuniform grids Available to Purchase

Considers the extension of a new class of higher‐order compact methods to nonuniform grids and examines the effect of pollution that arises with differencing the associated metric coefficients. Numerical studies for the standard model convection diffusion equation in 1D and 2D are carried out to validate the convergence behaviour and demonstrate the high‐order accuracy.