局部相似理论作为控制方程的不变解

IF 2.3 3区地球科学 Q3 METEOROLOGY & ATMOSPHERIC SCIENCES

Boundary-Layer Meteorology Pub Date : 2024-04-30 DOI:10.1007/s10546-024-00867-9

Marta Wacławczyk, Jun-Ichi Yano, Grzegorz M. Florczyk

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引用次数: 0

摘要

本文表明，针对强层状边界层提出的局部相似性理论，可以作为根据李群理论定义的不变解推导出来。为此考虑了一个截断为平均动量方程和浮力方程的系统。研究进一步提出了如何根据垂直通量确定平均剖面的相似函数，以及系统各向异性的潜在依赖性。此外，还确定了一个可能表征系统瞬态的时间尺度，作为一个非尺寸化因子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Local Similarity Theory as the Invariant Solution of the Governing Equations

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Local Similarity Theory as the Invariant Solution of the Governing Equations

The present paper shows that local similarity theories, proposed for the strongly-stratified boundary layers, can be derived as invariant solutions defined under the Lie-group theory. A system truncated to the mean momentum and buoyancy equations is considered for this purpose. The study further suggests how similarity functions for the mean profiles are determined from the vertical fluxes, with a potential dependence on a measure of the anisotropy of the system. A time scale that is likely to characterize the transiency of a system is also identified as a non-dimensionalization factor.

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来源期刊

Boundary-Layer Meteorology 地学-气象与大气科学

CiteScore

7.50

自引率

14.00%

发文量

审稿时长

12 months

期刊介绍： Boundary-Layer Meteorology offers several publishing options: Research Letters, Research Articles, and Notes and Comments. The Research Letters section is designed to allow quick dissemination of new scientific findings, with an initial review period of no longer than one month. The Research Articles section offers traditional scientific papers that present results and interpretations based on substantial research studies or critical reviews of ongoing research. The Notes and Comments section comprises occasional notes and comments on specific topics with no requirement for rapid publication. Research Letters are limited in size to five journal pages, including no more than three figures, and cannot contain supplementary online material; Research Articles are generally fifteen to twenty pages in length with no more than fifteen figures; Notes and Comments are limited to ten journal pages and five figures. Authors submitting Research Letters should include within their cover letter an explanation of the need for rapid publication. More information regarding all publication formats can be found in the recent Editorial ‘Introducing Research Letters to Boundary-Layer Meteorology’.