“For stability, the relationship between the chosen subspaces needs to be kept in mind.”
Here is the link to the source.
keywords:
[numerical weather prediction]
[compatible numerics]
[asymptotic limit analysis]
[parallel-computing issues]
[longitude-latitude grids]
[finite-element approach]
[pseudo-uniform grids on the sphere]
[the model’s behavior]
[behavior of the model]
[approaching a parameter limit]
[spaces that are mapped to each other via differential operators]
[vector-calculus identities]
[discretization]
[velocity and pressure spaces]
[vertical slice]
[degrees of freedom]
[multiplication by the corresponding unit vector]
[non-dimensionalization of the dry Euler equations]
[hydrostaticity]
[a soundwave-reducing sponge layer]
[lots of concepts all in one short document]
[dynamical cores for weather and climate prediction]
[dynamical core for weather and climate prediction]
[conservation of various entities of the system]
[energy and mass]
[a Hamiltonian / variational framework]
[ a Hamiltonian framework]
[a variational framework]
[upwind schemes]
