A new finite-difference diffusion scheme (Q1913775)

The authors purpose a new second-order accurate, explicit finite difference diffusion scheme, that they call ``three-level, locally implicit'' scheme. The scheme is derived as a weighted average of the conventional forward-in-time, explicit diffusion scheme over one grid length and the same scheme over two grid lengths. This scheme is implemented in both a simple one-dimensional diffusion model and also in a complex three-dimensional large-eddy simulation model. The advantages in comparison with other schemes are demonstrated.