ExnerFOAM, a semi-implicit model of the fully-compressible Euler equations, described in:
Curl free pressure gradients over orography in a solution of the fully compressibe Euler equations with implicit treatment of acoustic and gravity waves
Hilary Weller and Ava Shahrokhi
In prep for Monthly Weather Review
AtmosFOAM and Predicting Mesh Refinement
An example using adaptive mesh refinement: the barotropically unstable jet of Galewsky, Scott and Polvani (Tellus, 2004) run for 18 days.