DOI: 10.5194/hess-20-2669-2016
Scopus记录号: 2-s2.0-84978370223
论文题名: A comparison of the modern Lie scaling method to classical scaling techniques
作者: Polsinelli J ; , Kavvas M ; L
刊名: Hydrology and Earth System Sciences
ISSN: 10275606
出版年: 2016
卷: 20, 期: 7 起始页码: 2669
结束页码: 2678
语种: 英语
Scopus关键词: Groundwater
; Groundwater flow
; Groundwater pollution
; Hydraulics
; Lie groups
; Open channel flow
; Sediment transport
; Buckingham-pi theorem
; Dimensional analysis
; Dimensionalization
; Groundwater dynamics
; Groundwater flow and contaminant transports
; Hydrology and hydraulics
; Relative strength
; Scaling transformation
; Group theory
; analytical method
; channel hydraulics
; civil engineering
; groundwater flow
; hydrological modeling
; numerical method
; pollutant transport
英文摘要: In the past 2 decades a new modern scaling technique has emerged from the highly developed theory on the Lie group of transformations. This new method has been applied by engineers to several problems in hydrology and hydraulics, including but not limited to overland flow, groundwater dynamics, sediment transport, and open channel hydraulics. This study attempts to clarify the relationship this new technology has with the classical scaling method based on dimensional analysis, non-dimensionalization, and the Vaschy-Buckingham-Π theorem. Key points of the Lie group theory, and the application of the Lie scaling transformation, are outlined and a comparison is made with two classical scaling models through two examples: unconfined groundwater flow and contaminant transport. The Lie scaling method produces an invariant scaling transformation of the prototype variables, which ensures the dynamics between the model and prototype systems will be preserved. Lie scaling can also be used to determine the conditions under which a complete model is dynamically, kinematically, and geometrically similar to the prototype phenomenon. Similarities between the Lie and classical scaling methods are explained, and the relative strengths and weaknesses of the techniques are discussed. © 2016 Author(s). Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/78798
Appears in Collections: 气候变化事实与影响
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作者单位: Department of Civil Engineering, University of California-Davis, Davis, CA, United States
Recommended Citation:
Polsinelli J,, Kavvas M,L. A comparison of the modern Lie scaling method to classical scaling techniques[J]. Hydrology and Earth System Sciences,2016-01-01,20(7)