A mass-conserving non-iteration-dimensional-split semi-Lagrangian advection scheme for limited-area modelling

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 (C) 2012 Royal Meteorological Society