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A refined semi‐Lagrangian vertical trajectory scheme applied to a hydrostatic atmospheric model

An explicit estimate of the vertical acceleration in a hydrostatic atmospheric model is necessary in order to extend the application of the uniform acceleration two‐time‐level semi‐Lagrangian trajectory scheme of Gospodinov et al. to the vertical direction. It has been diagnosed from the continuity equation. The trajectory scheme proposed, together with the vertical acceleration, has been tested for the so‐called ‘Baltic jet’ case which is dominated by horizontal advection. Enhanced quality has been demonstrated. Copyright © 2002 Royal Meteorological Society.