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A continuum-mechanical formulation for shallow polythermal ice sheets

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タイトル: A continuum-mechanical formulation for shallow polythermal ice sheets
著者: Greve, Ralf 著作を一覧する
キーワード: Ice sheet
Polythermal
Continuum mechanics
Shallow ice approximation
Greenland
発行日: 1997年 5月15日
出版者: Royal Society
誌名: Philosophical Transactions of The Royal Society. A, Mathematical Physical and Engineering Sciences
巻: 355
号: 1726
開始ページ: 921
終了ページ: 974
出版社 DOI: 10.1098/rsta.1997.0050
抄録: This paper is concerned with a new theoretical approach to model grounded ice sheets in three dimensions. These are considered as polythermal, i.e., there will be regions with temperatures below the pressure melting point ("cold ice") and regions with temperatures exactly at the pressure melting point ("temperate ice"). In the latter, small quantities of water may occur. Based on previous approaches, an improved theory of polythermal ice sheets is developed, which is founded on continuum-thermodynamic balance relations and jump conditions for mass, momentum and energy. The rheological behaviour is assumed to be that of an incompressible, nonlinear viscous and heat conducting fluid; because of the dependence of viscosity on temperature and on water content, the problem is thermo-mechanically coupled. After presenting analytic solutions for a simple geometry (ice sheet of uniform depth), the theory is subjected to a scaling procedure with the assumptions of a small aspect ratio (ratio between typical vertical dimension and typical horizontal dimension) and a small Froude number. This leads to the introduction of the polythermal shallow-ice approximation (SIA) equations. Finally, as an application of the model to a real problem, a numerically computed steady-state solution for the Greenland Ice Sheet under present climate conditions is presented and compared with the real ice sheet.
Relation (URI): http://royalsociety.metapress.com/content/102021
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/34856
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: Greve Ralf

 

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