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The paper presents the transport module of the System for IntegratedmodeLling of Atmospheric coMposition SILAM v.5 based on the advectionalgorithm of Michael Galperin. This advection routine, so far weaklypresented in the international literature, is positively defined, stable atany Courant number, and efficient computationally. We present the rigorousdescription of its original version, along with several updates that improveits monotonicity and shape preservation, allowing for applications tolong-living species in conditions of complex atmospheric flows. The scheme isconnected with other parts of the model in a way that preserves the sub-gridmass distribution information that is a cornerstone of the advectionalgorithm. The other parts include the previously developed verticaldiffusion algorithm combined with dry deposition, a meteorologicalpre-processor, and chemical transformation modules.  The quality of the advection routine is evaluated using a large set of tests.The original approach has been previously compared with several classicalgorithms widely used in operational dispersion models. The basic tests wererepeated for the updated scheme and extended with real-wind simulations anddemanding global 2-D tests recently suggested in the literature, whichallowed one to position the scheme with regard to sophisticatedstate-of-the-art approaches. The advection scheme performance was fullycomparable with other algorithms, with a modest computational cost.  This work was the last project of Dr. Sci. Michael Galperin, who passed awayon 18 March 2008

Construction of the SILAM Eulerian atmospheric dispersion model based on the advection algorithm of Michael Galperin