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A mass‐conserving non‐iteration‐dimensional‐split semi‐Lagrangian advection scheme for limited‐area modelling
Author(s) -
Zhang Yunfei,
Juang HannMing Henry
Publication year - 2012
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.1938
Subject(s) - advection , scheme (mathematics) , lagrangian , interpolation (computer graphics) , conservation of mass , mathematics , operator (biology) , simple (philosophy) , dimension (graph theory) , lagrange polynomial , mathematical analysis , physics , classical mechanics , mechanics , motion (physics) , biochemistry , chemistry , philosophy , epistemology , repressor , gene , transcription factor , pure mathematics , polynomial , thermodynamics
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