Improving the Estimate of the Departure Point Position in a Two-Time Level Semi-Lagrangian and Semi-Implicit Scheme

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Abstract
A method for improving the estimate of the departure point position in a two-time level semi-Lagrangian integration scheme is introduced. It involves “centering in space and time” to arrive at the best value of the advecting velocity. A set of 60 multilevel model forecasts were run to demonstrate the efficacy of the method. These showed that, with a spatial resolution of 1.4° × 1.4° in a C-grid, a 90-min time step gave forecasts as accurate as did a 10-min time step.