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The semi-Lagrangian absolute vorticity (SL-AV) atmospheric model is theglobal semi-Lagrangian hydrostatic model used for operational medium-rangeand seasonal forecasts at the Hydrometeorological Centre of Russia. The distinctfeature of the SL-AV dynamical core is the semi-implicit, semi-Lagrangianvorticity-divergence formulation on the unstaggered grid. A semi-implicit,semi-Lagrangian approach allows for long time steps but violates the globaland local mass conservation. In particular, the total mass in simulationswith semi-Lagrangian models can drift significantly if no a posteriorimass-fixing algorithm is applied. However, the global mass-fixingalgorithms degrade the local mass conservation.  The new inherently mass-conservative version of the SL-AV model dynamical corepresented here ensures global and local mass conservation withoutmass-fixing algorithms. The mass conservation is achieved with theintroduction of the finite-volume, semi-Lagrangian discretization for acontinuity equation based on the 3-D extension of the conservative cascadesemi-Lagrangian transport scheme (CCS). Numerical experiments show thatthe new version of the SL-AV dynamical core presented combines the accuracy andstability of the standard SL-AV dynamical core with the mass-conservationproperties. The results of the mountain-induced Rossby-wave test andbaroclinic instability test for the mass-conservative dynamical core are found tobe in agreement with the results available in the literature

Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core