Noninterpolating semi-Lagrangian advection scheme with minimized dissipation and dispersion errors

Abstract

A simple noninterpolating semi-Lagrangian advection algorithm is presented, which uses a two-time level scheme with minimized dissipation and dispersion errors in the Eulerian step. Advection experiments with uniform flow demonstrate the stability of the algorithm. Moreover, the increased time step even improves the obtained results. The technique could be applied as a fast and economical method for computing the advection of scalar fields in numerical models of the atmosphere. -Authors