Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1175/JAS-D-17-0344.1 |
Saltzman's Model. Part I: Complete Characterization of Solution Properties | |
Lakshmivarahan, S.1; Lewis, John M.2,3; Hu, Junjun4 | |
2019-06-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES
![]() |
ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2019 |
卷号 | 76期号:6页码:1587-1608 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | In Saltzman's seminal paper from 1962, the author developed a framework based on the spectral method for the analysis of the solution to the classical Rayleigh-Benard convection problem using low-order models (LOMs), LOM (n) with n <= 52. By way of illustrating the power of these models, he singled out an LOM (7) and presented a very preliminary account of its numerical solution starting from one initial condition and for two values of the Rayleigh number, lambda = 2 and 5. This paper provides a complete mathematical characterization of the solution of this LOM (7), herein called the Saltzman LOM (7) [S-LOM (7)]. Historically, Saltzman's examination of the numerical solution of this low-order model contained two salient characteristics: 1) the periodic solution (in the physical 3D space and time) that expand on Rayleigh's classical study and 2) a nonperiodic solution (in the temporal space dealing with the evolution of Fourier amplitude) that served Lorenz in his fundamental study of chaos in the early 1960s. Interestingly, the presence of this nonperiodic solution was left unmentioned in Saltzman's study in 1962 but explained in detail in Lorenz's scientific biography in 1993. Both of these fundamental aspects of Saltzman's study are fully explored in this paper and bring a sense of completeness to the work. |
英文关键词 | Differential equations Spectral analysis models distribution |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000468767700001 |
WOS关键词 | CONVECTION |
WOS类目 | Meteorology & Atmospheric Sciences |
WOS研究方向 | Meteorology & Atmospheric Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/183876 |
专题 | 地球科学 |
作者单位 | 1.Univ Oklahoma, Sch Comp Sci, Norman, OK 73019 USA; 2.Natl Severe Storms Lab, Norman, OK 73069 USA; 3.Desert Res Inst, Reno, NV USA; 4.Univ Oklahoma, Cooperat Inst Mesoscale Meteorol Studies, Norman, OK 73019 USA |
推荐引用方式 GB/T 7714 | Lakshmivarahan, S.,Lewis, John M.,Hu, Junjun. Saltzman's Model. Part I: Complete Characterization of Solution Properties[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2019,76(6):1587-1608. |
APA | Lakshmivarahan, S.,Lewis, John M.,&Hu, Junjun.(2019).Saltzman's Model. Part I: Complete Characterization of Solution Properties.JOURNAL OF THE ATMOSPHERIC SCIENCES,76(6),1587-1608. |
MLA | Lakshmivarahan, S.,et al."Saltzman's Model. Part I: Complete Characterization of Solution Properties".JOURNAL OF THE ATMOSPHERIC SCIENCES 76.6(2019):1587-1608. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论