DOI: 10.5194/tc-10-1753-2016
Scopus记录号: 2-s2.0-84983435882
论文题名: Similitude of ice dynamics against scaling of geometry and physical parameters
作者: Feldmann J ; , Levermann A
刊名: Cryosphere
ISSN: 19940416
出版年: 2016
卷: 10, 期: 4 起始页码: 1753
结束页码: 1769
语种: 英语
英文关键词: cryosphere
; dimensionless number
; fluid dynamics
; geometry
; ice flow
; ice mechanics
; ice sheet
; isotherm
; mass balance
; numerical model
; physical property
; stress field
英文摘要: The concept of similitude is commonly employed in the fields of fluid dynamics and engineering but rarely used in cryospheric research. Here we apply this method to the problem of ice flow to examine the dynamic similitude of isothermal ice sheets in shallow-shelf approximation against the scaling of their geometry and physical parameters. Carrying out a dimensional analysis of the stress balance we obtain dimensionless numbers that characterize the flow. Requiring that these numbers remain the same under scaling we obtain conditions that relate the geometric scaling factors, the parameters for the ice softness, surface mass balance and basal friction as well as the ice-sheet intrinsic response time to each other. We demonstrate that these scaling laws are the same for both the (two-dimensional) flow-line case and the three-dimensional case. The theoretically predicted ice-sheet scaling behavior agrees with results from numerical simulations that we conduct in flow-line and three-dimensional conceptual setups. We further investigate analytically the implications of geometric scaling of ice sheets for their response time. With this study we provide a framework which, under several assumptions, allows for a fundamental comparison of the ice-dynamic behavior across different scales. It proves to be useful in the design of conceptual numerical model setups and could also be helpful for designing laboratory glacier experiments. The concept might also be applied to real-world systems, e.g., to examine the response times of glaciers, ice streams or ice sheets to climatic perturbations. © Author(s) 2016. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/75098
Appears in Collections: 影响、适应和脆弱性 气候变化与战略
There are no files associated with this item.
作者单位: Potsdam Institute for Climate Impact Research (PIK), Potsdam, Germany; Institute of Physics, University of Potsdam, Potsdam, Germany; LDEO, Columbia University, New York, CO, United States
Recommended Citation:
Feldmann J,, Levermann A. Similitude of ice dynamics against scaling of geometry and physical parameters[J]. Cryosphere,2016-01-01,10(4)