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ABSTRACT:In this paper, we provide a systematic derivation of regularized equations for a non-hydrostatic and compressible vertical-slice model of the dry atmosphere. The derivation is based on an analysis of a semi-implicit discretization of the equations of motion and a recent regularized formulation is obtained as a special case. An implementation of the regularized equations, using a recent second-order, centred-in-time, two-time-level semi-Lagrangian Störmer-Verlet method, is discussed and a series of numerical experiments is conducted.

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