Short Note: A simple mass conserving semi-Lagrangian scheme for transport problems

Authors:
M. Zerroukat
Affiliations:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK
Venue:
Journal of Computational Physics
Year:
2010

Citing 4
Cited 0

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Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)

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A standard test set for numerical approximations to the shallow water equations in spherical geometry

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Abstract

A mass conserving semi-Lagrangian (SL) scheme is achieved with a combination of a simple explicit smoothness-based mass correction and a standard non-conservative interpolating SL scheme. The resulting mass correction can be incorporated into any existing SL scheme with negligible extra cost. A more selective and less damping monotonicity filter by comparison to traditional filters is also presented. Results from various tests from the literature show that, in addition to mass conservation, the proposed scheme has negligible impact on the overall accuracy of the standard non-conservative SL scheme.