A semi‐implicit non‐hydrostatic dynamical kernel using finite elements in the vertical discretization

摘要: This work is a first step in the direction of implementing high-order finite-element discretization vertical non-hydrostatic version HARMONIE model. The present dynamical core model shared with ECMWF and ALADIN models uses horizontal spectral semi-implicit semi-Lagrangian time stepping scheme, all which are maintained this work. Trying to implement has been found be very difficult due set prognostic variables used mass-based coordinate. A different hybrid coordinate based on height tested here slice kernel. stability analysis linear done. To evaluate accuracy, test cases from literature presented nonlinear regimes, without orography. An iterative centred-implicit scheme can applied avoid instability related steep orography, although reduces efficiency novel aspects respect existing kernels use cubic finite elements discretization, height-based conjunction horizontal, coordinate-independent formulation each element including advection. Copyright © 2011 Royal Meteorological Society