Non-Hydrostatic Effects in the Interaction between Flow and Orography

The interaction between flows and orography is a fundamental aspect of theoretical fluid dynamics for its direct applications (e.g., in dynamical meteorology); a comprehensive description is nowadays still lacking in some aspects. In this work, in particular, the authors would like to face the problem of flow-blocking and of the streamlines pattern formation, examining the role of stratification (i.e., Brunt-Vaisala frequency) and Froude number on these problems. In particular this work wants to investigate the role of vertical advection on flow-blocking and on streamlines geometry. The importance of streamlines curvature and stratification for the formation of pressure perturbation, then their role in flow-blocking will be shown. Moreover it will be shown how flow-blocking cannot be easly predict using only a stratification parameter or the Froude number.