An exact solution for a steady, flowline marine ice sheet
An exact solution for a steady, flowline marine ice sheet
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稳定、流畅的海洋冰盖的精确解决方案
DOI：
10.3189/2014jog14j066
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发表时间：
2014
影响因子：
3.4
通讯作者：
E. Bueler
中科院分区：
文献类型：
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作者：
E. Bueler
G. Böðvarsson 1955年冰岛冰川问题的塞流解被证明是广泛用于海洋冰盖数值模型的应力平衡和质量连续性方程的稳定形式的精确解。该解具有抛物线型冰厚和恒定的纵向综合应力，解决了在平床上线性滑动的稳定浅陆架近似问题。它具有与海拔高度相关的表面质量平衡率，在这里给出的解释中，它具有人为的与位置相关的冰硬度分布。通过将Böðvarsson的解决方案与Van der Veen（1983）的浮冰解决方案联系起来，我们构建了一个精确的解决方案，以解决“快速滑动”的海洋冰盖问题，不断地跨越接地线。我们利用这个精确的解来检验两种数值方法的准确性，一种是无网格的，另一种是基于固定的，等间距的网格。
Abstract G. Böðvarsson’s 1955 plug-flow solution for an Icelandic glacier problem is shown to be an exact solution to the steady form of the simultaneous stress-balance and mass-continuity equations widely used in numerical models of marine ice sheets. The solution, which has parabolic ice thickness and constant vertically integrated longitudinal stress, solves the steady shallow-shelf approximation with linear sliding on a flat bed. It has an elevation-dependent surface mass-balance rate and, in the interpretation given here, a contrived location-dependent ice hardness distribution. By connecting Böðvarsson’s solution to the Van der Veen (1983) solution for floating ice, we construct an exact solution to the ‘rapid-sliding’ marine ice-sheet problem, continuously across the grounding line. We exploit this exact solution to examine the accuracy of two numerical methods, one grid-free and the other based on a fixed, equally spaced grid.
DOI：
10.5194/tc-4-605-2010
发表时间：
2010-12
期刊：
The Cryosphere
影响因子：
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作者：
R. Gladstone;A. Payne;S. Cornford
通讯作者：
R. Gladstone;A. Payne;S. Cornford