A compatible finite‐element discretisation for the moist compressible Euler equations,Quarterly Journal of the Royal Meteorological Society

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A compatible finite‐element discretisation for the moist compressible Euler equations
Quarterly Journal of the Royal Meteorological Society ( IF 3.0 ) Pub Date : 2020-06-07 , DOI: 10.1002/qj.3841
Thomas M. Bendall _{1,

2} , Thomas H. Gibson ₃ , Jemma Shipton ₄ , Colin J. Cotter ₂ , Ben Shipway ₁

Affiliation

A promising development of the last decade in the numerical modelling of geophysical fluids has been the compatible finite‐element framework. Indeed, this will form the basis for the next‐generation dynamical core of the Met Office. For this framework to be useful for numerical weather prediction models, it must be able to handle descriptions of unresolved and diabatic processes. These processes offer a challenging test for any numerical discretisation, and have not yet been described within the compatible finite‐element framework. The main contribution of this article is to extend a discretisation using this new framework to include moist thermodynamics. Our results demonstrate that discretisations within the compatible finite‐element framework can be robust enough also to describe moist atmospheric processes.

中文翻译：

湿可压缩欧拉方程的兼容有限元离散化

兼容的有限元框架是近十年来地球物理流体数值模拟的一个有希望的发展。实际上，这将成为大都会办公室下一代动态核心的基础。为了使该框架可用于数值天气预报模型，它必须能够处理未解决的和非绝热过程的描述。这些过程为任何数值离散化提供了具有挑战性的测试，并且尚未在兼容的有限元框架内进行描述。本文的主要贡献是使用此新框架扩展了离散化，以包括潮湿的热力学。我们的结果表明，在兼容的有限元框架内的离散化也可以足够健壮地描述潮湿的大气过程。

更新日期：2020-06-07

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