Author(s)

P. Holnicki

Abstract

A quintic interpolation scheme for semi- Lagrangian advection models P. Holnicki Systems Research Institute, Polish Academy of Sciences, 01-447 JVarszawa, Newelska 6, Poland 1 Introduction Algorithms of shape-preserving interpolation are now widely investi- gated in connection with important physical applications, for example those related to numerical weather prediction, analysis of global climate changes or modeling atmospheric transport processes. Used in most cases, effec- tive semi-Lagrangian methods that follow wind characteristics backward in time, require interpolation of the initial profile at the upstream, depar- ture point. It is then desired that the algorithm applied correctly reflects physical reality suggested by the data. Typical demand is, therefore, that interpolation scheme, except accuracy and low numerical diffusivity, should be positive definite and generate monotone interpolant in regions where the data are monotone. In some applications, also conve

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