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In this study, the non-iteration dimensional-split semi-Lagrangian (NDSL)advection scheme is applied to the National Centers for EnvironmentalPrediction (NCEP) Regional Spectral Model (RSM) to alleviate the Gibbsphenomenon. The Gibbs phenomenon is a problem wherein negative values ofpositive-definite quantities (e.g., moisture and tracers) are generated bythe spectral space transformation in a spectral model system. To solve thisproblem, the spectral prognostic specific humidity and radioactive traceradvection scheme is replaced by the NDSL advection scheme, which considersadvection of tracers in a grid system without spectral spacetransformations. A regional version of the NDSL is developed in this studyand is applied to the RSM. Idealized experiments show that the regionalversion of the NDSL is successful. The model runs for an actual case studysuggest that the NDSL can successfully advect radioactive tracers(iodine-131 and cesium-137) without noise from the Gibbs phenomenon. TheNDSL can also remove negative specific humidity values produced in spectralcalculations without losing detailed features

A semi-Lagrangian advection scheme for radioactive tracers in the NCEP Regional Spectral Model (RSM)