Two geometrical and two advection-equivalent spatial interpolation sch
emes were tested in providing lateral boundary conditions to a nested
grid domain. Geometric interpolation schemes used in this study are a
zeroth-order and a quadratic scheme, while the two advection-equivalen
t interpolation schemes were based on upwind and Bott's advection sche
mes. The test problem involves an initially cone-shaped distribution o
f a scalar advected from a coarse to a fine grid. Simulation results w
ere compared to the exact solution to study magnitude and phase charac
teristics of each scheme. Results indicated that Bott's advection-equi
valent interpolation scheme provided better interface conditions and,
consequently, a more accurate transition of the signal from a coarse t
o a fine grid.