Unconfined Ice-Shelf Flow

Unconfined Ice-Shelf Flow
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无约束冰架流

DOI:
10.1007/978-94-009-3745-1_6
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发表时间:
1987
影响因子:
--
通讯作者:
L. Morland
L. Morland
中科院分区:
--
文献类型:
--
作者:
L. Morland

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无约束冰架在两个水平方向上的扩展涉及两个水平速度分量和两个方向上的厚度的变化。与垂直变化相比,利用在两个水平方向上物理量的缓慢变化允许简单地解决垂直动量平衡和推导用于通过厚度的水平应力的积分的平面应力平衡方程,以及在限定平滑流的边界的前轮廓上的集成牵引条件。然而,这个轮廓不是规定的,而是解决方案的一部分。在这个光滑的等高线和海缘之间的区域的平衡决定了综合的前缘牵引力,在海水压力方面提供的边缘区域的应力限制可以。由此产生的二维系统的积分偏微分方程的未知区域是一个复杂的问题。
The spreading of an unconfined ice shelf in two horizontal directions involves the variation of the two horizontal velocity components and the thickness in both directions. Exploiting the slow variation of physical quantities in both horizontal directions compared to vertical variation allows simple solution of the vertical momentum balance and the derivation of plane stress equilibrium equations for integrals of the horizontal stresses through the thickness, together with integrated traction conditions on a front contour defining the boundary of smooth flow. This contour, however, is not prescribed, but is part of the solution. Equilibrium of the region between this smooth contour and the sea margin determines the integrated front tractions in terms of the sea water pressure provided that restrictions on stresses in the margin region can be made. The resulting two-dimensional system of integropartial differential equations on the unknown domain is a complex problem.