非均质材料点蚀的移动网格法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-04-25 DOI:10.1016/j.camwa.2025.04.005

Abu Naser Sarker , Ronald D. Haynes , Michael Robertson

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引用次数: 0

摘要

设计了一种适用于非均质材料点蚀数值逼近的自适应移动网格或r-细化方法，并将其应用于金属点蚀问题。用带移动边界的拉普拉斯方程来描述点蚀，其中移动边界问题与描述网格运动的偏微分方程相耦合。我们表明，数值方法能够跟踪具有不同晶体学，耐腐蚀夹杂物和材料空隙的复杂材料的演变坑几何形状。

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A moving mesh method for pitting corrosion of heterogeneous materials

An adaptive moving mesh or r-refinement method for the numerical approximation of pitting corrosion in heterogeneous materials is designed and applied to the problem of pitting corrosion in metals. The pitting corrosion is described by Laplace's equation with a moving boundary where the moving boundary problem is coupled with the partial differential equations describing the mesh movement. We show that the numerical approach is able to track evolving pit geometry for complicated materials with varying crystallography, corrosion-resistant inclusions, and material voids.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).