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The development and validation of the vertical diffusion module of IL-GLOBO,a Lagrangian transport model coupled online with the Eulerian general circulation model GLOBO, is described. The module simulates the effects ofturbulence on particle motion by means of a Lagrangian stochastic model (LSM)consistently with the turbulent diffusion equation used in GLOBO. Theimplemented LSM integrates particle trajectories, using the nativeσ-hybrid coordinates of the Eulerian component, and fulfils the well-mixed condition (WMC) in the general case of a variable density profile. Themodule is validated through a series of 1-D offline numerical experiments byassessing its accuracy in maintaining an initially well-mixed distribution inthe vertical. A dynamical time-step selection algorithm with constraintsrelated to the shape of the diffusion coefficient profile is developed anddiscussed. Finally, the skills of a linear interpolation and a modifiedAkima spline interpolation method are compared, showing that both satisfy theWMC with significant differences in computational time. A preliminary run ofthe fully integrated 3-D model confirms the result only for the Akimainterpolation scheme while the linear interpolation does not satisfy the WMCwith a reasonable choice of the minimum integration time step

IL-GLOBO (1.0) – integrated Lagrangian particle model and Eulerian general circulation model GLOBO: development of the vertical diffusion module