SLICE: A Semi‐Lagrangian Inherently Conserving and Efficient scheme for transport problems

Abstract

Abstract 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.