A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations
Thomas M. Bendall, Thomas H. Gibson, Jemma Shipton, Colin J. Cotter,, Ben Shipway
TL;DR
This paper introduces a new compatible finite element discretisation for the moist compressible Euler equations, enabling accurate simulation of moist atmospheric processes with hydrostatic balance, demonstrated through multiple test cases.
Contribution
It develops a novel discretisation framework for moist Euler equations within the compatible finite element approach, including hydrostatic balance and moist process parametrisations.
Findings
Successful demonstration on test cases including two new ones
Accurate hydrostatic balance in moist atmospheres
Enhanced modelling of moist atmospheric dynamics
Abstract
We present new discretisation of the moist compressible Euler equations, using the compatible finite element framework identified in Cotter and Shipton (2012). The discretisation strategy is described and details of the parametrisations of moist processes are presented. A procedure for establishing hydrostatic balance for moist atmospheres is introduced, and the model's performance is demonstrated through several test cases, two of which are new.
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