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Keywords:

  • semi-Lagrangian;
  • mass conservation;
  • advection

Abstract

A newly developed mass-conserving semi-Lagrangian advection scheme for limited area modelling is illustrated, which requires no initial guess and no iteration for determining trajectories and is different from the traditional semi-Lagrangian scheme. This scheme uses operator splitting to extend one dimension to multi-dimensions to avoid 2D interpolation or remapping. In addition to the mass conservation, the scheme is relatively simple and is competitively accurate as compared to other semi-Lagrangian schemes. Copyright © 2012 Royal Meteorological Society