However, an accurate and universal metric requires grid cell firing patterns to uniformly cover the space to be navigated, in contrast to recent demonstrations that environmental features such as boundaries can distort [ 9 11] and fragment [ 12] grid patterns.
In many realistic calculations, the computational grid spacing required to resolve the mean flow gradients is much smaller than the grid spacing required to resolve the unsteady propagating waves of interest.
Consistent with the above arguments, the grid spacing required for DNS is of the order of the Kolmogorov scale, while the time step needs to be of the same order as the time scales of the smallest eddies.
In the fuel blowing region, grid convergence is achieved using a 3 mm computational grid; while in the downstream flame preheating region, a 1.5 mm near-wall grid spacing is required to fully resolve the wall convective heat transfer.
The results suggest that, even though it has been arguable whether deep convective parameterization is required for the 14 km grid spacing model, the simulation without the parameterization reproduces climatology consistent with observation.
Reduced knife grid spacing and increased packed bed depths required increased cutting energy.
High-resolution forecasting already requires more processing power to provide a forecast for a given area within a given time: halving the grid spacing (from 12km to 6km, for example) increases the amount of computing power needed fourfold.
As for the familiar latitude-longitude grid (lat-lon grid), however, the grid spacing near the poles becomes drastically reduced as the horizontal resolution is increased, which means that reduced grids are generally required to avoid severe time interval restrictions for the Courant-Friedrichs-Lewy (CFL) condition.
The horizontal grid spacing was 5 km and the vertical grid spacing was 0.5 km.
The grid spacing of the cubic lattice was 0.5 Å.
