Premium
SLICE: A Semi‐Lagrangian Inherently Conserving and Efficient scheme for transport problems
Author(s) -
Zerroukat Mohamed,
Wood Nigel,
Staniforth Andrew
Publication year - 2002
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 - 10.1256/qj.02.69
Subject(s) - lagrangian , scheme (mathematics) , cartesian coordinate system , cascade , lagrangian and eulerian specification of the flow field , mathematics , mathematical optimization , computer science , lagrangian relaxation , geometry , mathematical analysis , eulerian path , engineering , chemical engineering
A Semi‐Lagrangian Inherently Conserving and Efficient (SLICE) scheme is described for transport of passive scalars in Cartesian geometry. It is based on a Control‐Volume (CV) approach and uses multiple sweeps of a one‐dimensional O(Δ x 4 ) conservative remapping algorithm along pre‐determined cascade directions. The scheme is applied to standard two‐dimensional tests from the literature. Overall, it is found that in addition to conserving mass exactly, it is also competitive with standard non‐conserving semi‐Lagrangian schemes from the viewpoints of both computational efficiency and accuracy. © Crown Copyright, 2002.