立方体网格上的有限体积传输方案分析和发散风的精确方案

IF 3.8 2区 物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Journal of Computational Physics Pub Date : 2024-11-26 DOI:10.1016/j.jcp.2024.113618
Luan F. Santos , Joseph Mouallem , Pedro S. Peixoto
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引用次数: 0

摘要

由 GFDL-NOAA-USA 开发的立方体有限体积动力核心(FV3)是全球许多模式的动力核心。2019 年,它被正式指定为美国国家气象局新全球预报系统的动力核心,取代了频谱模式。FV3 采用有限体积方法来求解水平动力学,包括应用不同变量的传输有限体积通量。因此,传输方案在模式中起着关键作用。因此,这项工作建议重新审视 FV3 的传输方案细节,以增加改进之处。我们对 FV3 的传输方案提出了修改建议,这些建议显著提高了精度,尤其是在存在发散风的情况下,数值实验证明了这一点。与 FV3 方案在存在发散风时的一阶精度相比,我们提出的方案达到了二阶精度。对于无发散风,两种方案都是二阶精度,而我们的方案精度略高。此外,建议方案的计算开销较小,但很容易在当前代码中实现。总之,建议的方案在保持计算效率的同时,显著提高了精度,尤其是在各种大气现象中都存在的发散风的情况下。
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Analysis of finite-volume transport schemes on cubed-sphere grids and an accurate scheme for divergent winds
The cubed-sphere finite-volume dynamical core (FV3), developed by GFDL-NOAA-USA, serves as the dynamical core for many models worldwide. In 2019, it was officially designated as the dynamical core for the new Global Forecast System of the National Weather Service in the USA, replacing the spectral model. The finite-volume approach employed by FV3 to solve horizontal dynamics involves the application of transport finite-volume fluxes for different variables. Hence, the transport scheme plays a key role in the model. Therefore, this work proposes to revisit the details of the transport scheme of FV3 with the aim of adding enhancements. We proposed modifications to the FV3 transport scheme, which notably enhanced accuracy, particularly in the presence of divergent winds, as evidenced by numerical experiments. In contrast to the FV3 scheme's first-order accuracy in the presence of divergent winds, the proposed scheme achieves second-order accuracy. For divergence-free winds, both schemes are second-order, with our scheme being slightly more accurate. Additionally, the proposed scheme exhibits slight computational overhead but is easily implemented in the current code. In summary, the proposed scheme offers significant improvements in accuracy, particularly in the presence of divergent winds, which are present in various atmospheric phenomena, while maintaining computational efficiency.
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来源期刊
Journal of Computational Physics
Journal of Computational Physics 物理-计算机:跨学科应用
CiteScore
7.60
自引率
14.60%
发文量
763
审稿时长
5.8 months
期刊介绍: Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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