Multipolar wind distributions

IF 2.1 3区 工程技术 Q3 MECHANICS
Andrea Pedrini, Epifanio G. Virga, Andrea Marziali, Anna Malagó
{"title":"Multipolar wind distributions","authors":"Andrea Pedrini,&nbsp;Epifanio G. Virga,&nbsp;Andrea Marziali,&nbsp;Anna Malagó","doi":"10.1007/s11012-024-01908-w","DOIUrl":null,"url":null,"abstract":"<div><p>The <i>poles</i> featuring in this paper stem directly from Maxwell’s classical harmonic polynomials. Here, we employ them in a systematic approach to the representation of wind probability distributions in the plane. Symmetry suggests the number of poles (and the degree of the polynomial) strictly necessary in a specific situation. In this model, multipolar tensors of different ranks (corresponding to homogeneous polynomials of different degrees) embody different components of wind climate. When applied to the data of a wind farm in Sicily (Italy), this strategy proves that an <i>octupolar</i> distribution (with 3 poles) is the best fit. A <i>quadrupolar</i> distribution (with 2 poles) is found to be equivalent to a distribution that is elsewhere called <i>offset elliptical normal</i>.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 8","pages":"2621 - 2639"},"PeriodicalIF":2.1000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Meccanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11012-024-01908-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0

Abstract

The poles featuring in this paper stem directly from Maxwell’s classical harmonic polynomials. Here, we employ them in a systematic approach to the representation of wind probability distributions in the plane. Symmetry suggests the number of poles (and the degree of the polynomial) strictly necessary in a specific situation. In this model, multipolar tensors of different ranks (corresponding to homogeneous polynomials of different degrees) embody different components of wind climate. When applied to the data of a wind farm in Sicily (Italy), this strategy proves that an octupolar distribution (with 3 poles) is the best fit. A quadrupolar distribution (with 2 poles) is found to be equivalent to a distribution that is elsewhere called offset elliptical normal.

多极风分布
本文的极点直接来源于麦克斯韦经典调和多项式。在这里,我们采用系统的方法来表示平面上的风概率分布。对称性表明在特定情况下极的数量(和多项式的程度)是严格必要的。在该模型中,不同阶次的多极张量(对应不同阶次的齐次多项式)体现了不同的风气候分量。当应用于西西里岛(意大利)风电场的数据时,该策略证明了八极分布(3极)是最适合的。四极分布(有两个极点)被发现等同于另一种称为偏移椭圆正态分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Meccanica
Meccanica 物理-力学
CiteScore
4.70
自引率
3.70%
发文量
151
审稿时长
7 months
期刊介绍: Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics. Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences. Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信