A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Bendall, Thomas M, Gibson, Thomas H, Shipton, Jemma, Cotter, Colin J, Shipway, Ben
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.10.2019
Subjects
Compressibility
Computer Science - Numerical Analysis
Discretization
Euler-Lagrange equation
Eulers equations
Mathematics - Numerical Analysis
Physics - Fluid Dynamics
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1910.01857