Compatible Finite Elements for Glacier Modeling

IF 1.8 4区计算机科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computing in Science & Engineering Pub Date : 2023-05-01 DOI:10.1109/MCSE.2023.3305864

D. Brinkerhoff

引用次数: 0

Abstract

Described in this article is the first application of two mixed finite-element methods to the equations of glacier evolution under different simplifying assumptions, along with a framework for the implicit solution of the coupled velocity-thickness equations. The first method uses Raviart–Thomas elements for velocity and piecewise constants for thickness and is a reframing of a classic staggered-grid finite-difference method to the case of unstructured triangular meshes. The second method uses Mardal–Tai–Winther elements for velocity and exhibits several desirable properties: second-order convergence of velocity and near-exact mass conservation while resolving both membrane and shear stresses in steep topography with thin ice.

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冰川建模的兼容有限元

本文首次将两种混合有限元方法应用于不同简化假设下的冰川演化方程，并给出了速度-厚度耦合方程隐式解的框架。第一种方法使用Raviart-Thomas单元表示速度，分段常数表示厚度，是对经典交错网格有限差分方法的一种重构，适用于非结构化三角形网格。第二种方法使用mardal - tae - winter单元计算速度，并显示出几个理想的特性:速度的二阶收敛和近乎精确的质量守恒，同时解决了薄冰层陡峭地形中的膜和剪切应力。

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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来源期刊

Computing in Science & Engineering 工程技术-计算机：跨学科应用

CiteScore

4.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Physics, medicine, astronomy -- these and other hard sciences share a common need for efficient algorithms, system software, and computer architecture to address large computational problems. And yet, useful advances in computational techniques that could benefit many researchers are rarely shared. To meet that need, Computing in Science & Engineering presents scientific and computational contributions in a clear and accessible format. The computational and data-centric problems faced by scientists and engineers transcend disciplines. There is a need to share knowledge of algorithms, software, and architectures, and to transmit lessons-learned to a broad scientific audience. CiSE is a cross-disciplinary, international publication that meets this need by presenting contributions of high interest and educational value from a variety of fields, including—but not limited to—physics, biology, chemistry, and astronomy. CiSE emphasizes innovative applications in advanced computing, simulation, and analytics, among other cutting-edge techniques. CiSE publishes peer-reviewed research articles, and also runs departments spanning news and analyses, topical reviews, tutorials, case studies, and more.