圆形冰架随时间变化的模型

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-01-16 DOI:10.1016/j.wavemoti.2025.103494

Rehab Aljabri , Michael H. Meylan

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引用次数: 0

摘要

建立了圆形冰架在不同边界条件下的时域振动数学模型。系统采用浅水方程建模，将问题简化为六阶偏微分方程。证明了该方程在柱坐标系下是可分离的，并在贝塞尔函数中展开了解。研究了不同的边界条件，夹紧和自由圆形和无通量和无压力条件。这些是冰架模拟中考虑的标准简化边界条件。计算了振动模态，模拟了随时间变化的运动。即使在这个理想模型中，冰架在时域上也表现出非常复杂的运动。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Time-dependent modelling of a circular ice shelf

A mathematical model is presented to investigate the vibrations in the time domain of circular ice shelves under different boundary conditions. The system is modelled using the shallow-water equations, which reduces the problem to a sixth-order partial differential equation. It is shown that this equation is separable in cylindrical coordinates, and the solution is expanded in Bessel functions. Different boundary conditions are investigated, clamped and free circular and no-flux and no-pressure conditions. These are the standard simplified boundary conditions considered in ice shelf modelling. The modes of vibration are calculated and the time-dependent motion is simulated. Even for this idealised model, the ice shelf shows a very complex motion in the time domain.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.