Title
Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere
Abstract
•Exact spatial and temporal balance of all energy exchanges for the 3D compressible Euler equations•Unconditionally stable for all linear buoyancy modes, and all linear acoustic modes below some horizontal CFL number•For baroclinic instability, internal gravity mode has a time scale four times faster than a traditional trapezoidal scheme•Energetically consistent vertical upwinding allows for the suppression of spurious oscillations at non-hydrostatic scales•Non-hydrostatic rising bubble simulation on affine geometry can be run stably without any dissipation
Year
DOI
Venue
2021
10.1016/j.jcp.2021.110432
Journal of Computational Physics
Keywords
DocType
Volume
Horizontally explicit/vertically implicit,IMEX,Non-hydrostatic,Energetically balanced,Compatible finite element,Mimetic
Journal
440
ISSN
Citations 
PageRank 
0021-9991
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
David Lee119521.40
Artur Palha200.34