A mixed finite-element, finite-volume, semi-implicit discretization for atmospheric dynamics: Cartesian geometry
A mixed finite-element, finite-volume, semi-implicit discretization for atmospheric dynamics: Cartesian geometry
复制标题
大气动力学的混合有限元、有限体积、半隐式离散化：笛卡尔几何
DOI：
10.1002/qj.3501
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发表时间：
2019
影响因子：
8.9
通讯作者：
Melvin T
中科院分区：
文献类型：
--
作者：
Melvin T
为了应对未来几代大规模并行超级计算机带来的挑战，英国气象局提出了对天气和气候模型的动力核心的重新表述。这个新的动力核心使用显式有限体积类型离散化来传输标量场，并结合迭代隐式混合有限元离散化来处理所有其他项。目标模型旨在保持现有气象局模型的准确性、稳定性和模拟特性，而与所选网格无关，同时提高模型的保护特性。本文详细介绍了所提出的公式，并作为完成测试的第一步，展示了其在笛卡尔域（的上下文）中的许多测试用例的性能。新模型显示出与英国气象局使用的现有半隐式半拉格朗日模型以及文献中有关一系列气泡测试和二维和三维地形强制流的其他模型产生的结果相似。
To meet the challenges posed by future generations of massively parallel supercomputers, a reformulation of the dynamical core for the Met Office's weather and climate model is presented. This new dynamical core uses explicit finite‐volume type discretizations for the transport of scalar fields coupled with an iterated‐implicit, mixed finite‐element discretization for all other terms. The target model aims to maintain the accuracy, stability and mimetic properties of the existing Met Office model independent of the chosen mesh while improving the conservation properties of the model. This paper details that proposed formulation and, as a first step towards complete testing, demonstrates its performance for a number of test cases in (the context of) a Cartesian domain. The new model is shown to produce similar results to both the existing semi‐implicit semi‐Lagrangian model used at the Met Office and other models in the literature on a range of bubble tests and orographically forced flows in two and three dimensions.