2134/13369 Piotr K. Smolarkiewicz Piotr K. Smolarkiewicz Joanna Szmelter Joanna Szmelter A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves Loughborough University 2013 Unstructured mesh models Nonoscillatory forward-in-time schemes Atmospheric models Soundproof equations Mountain waves Mechanical Engineering not elsewhere classified Geophysics 2013-10-15 14:20:03 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/A_nonhydrostatic_unstructured-mesh_soundproof_model_for_simulation_of_internal_gravity_waves/9563690 A semi-implicit edge-based unstructured-mesh model is developed that integrates nonhydrostatic soundproof equations, inclusive of anelastic and pseudo-incompressible systems of partial differential equations. The model builds on nonoscillatory forward-in-time MPDATA approach using finite-volume discretization and unstructured meshes with arbitrarily shaped cells. Implicit treatment of gravity waves benefits both accuracy and stability of the model. The unstructured-mesh solutions are compared to equivalent structured-grid results for intricate, multiscale internal-wave phenomenon of a non-Boussinesq amplification and breaking of deep stratospheric gravity waves. The departures of the anelastic and pseudo-incompressible results are quantified in reference to a recent asymptotic theory [Achatz et al. 2010, J. Fluid Mech., 663, 120-147)].