On the positivity of mass in commonly used numerical transport schemes |
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| Authors: | Luc Ostiguy JP René Laprise |
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| Institution: | Physics Department , University of Québec at Montréal , P.O. 8888, Stn “A”, Montréal, Québec, H3C 3P8 |
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| Abstract: | Abstract Numerical transport schemes used in atmospheric models only approximate the evolution of the real mass continuity equation. The inaccuracies introduced by discretization schemes result, amongst other things, in the appearance of fictitious “holes” in the mass field, i.e. places where the concentration is locally negative. In this article we compare the behaviour of various numerical schemes that are commonly used in atmospheric models, the remedies that are often applied to prevent the appearance of unphysical holes, and their side effects on the evolution of a transported field. |
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