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SL-AV (semi-Lagrangian, based on the absolute vorticity equation)is a global hydrostatic atmospheric model. Its latest version, SL-AV20,provides global operational medium-range weather forecast with 20 kmresolution over Russia. The lower-resolution configurations of SL-AV20 arebeing tested for seasonal prediction and climate modeling.  The article presents the model dynamical core. Its main features are avorticity-divergence formulation at the unstaggered grid, high-orderfinite-difference approximations, semi-Lagrangian semi-implicitdiscretization and the reduced latitude–longitude grid with variableresolution in latitude.  The accuracy of SL-AV20 numerical solutions using a reduced lat–lon grid andthe variable resolution in latitude is tested with two idealized test cases.Accuracy and stability of SL-AV20 in the presence of the orography forcingare tested using the mountain-induced Rossby wave test case. The results ofall three tests are in good agreement with other published model solutions.It is shown that the use of the reduced grid does not significantly affectthe accuracy up to the 25 % reduction in the number of grid points withrespect to the regular grid. Variable resolution in latitude allows us toimprove the accuracy of a solution in the region of interest

Vorticity-divergence semi-Lagrangian global atmospheric model SL-AV20: dynamical core