A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations
Numerical Analysis
2020-12-02 v1 Numerical Analysis
Fluid 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.
Cite
@article{arxiv.1910.01857,
title = {A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations},
author = {Thomas M. Bendall and Thomas H. Gibson and Jemma Shipton and Colin J. Cotter and Ben Shipway},
journal= {arXiv preprint arXiv:1910.01857},
year = {2020}
}