The localized radial basis function collocation method for dendritic solidification, solid phase sintering and wetting phenomenon based on phase field

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2024-10-18 DOI:10.1016/j.jcp.2024.113515

Pengfei Jiang , Hui Zheng , Jingang Xiong , Timon Rabczuk

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引用次数: 0

Abstract

Phase-field has been effectively applied to many complex problems according to the mesh based method. However, the computational speed of the numerical method based on phase-field still needs improved. In this paper, an improved localized radial basis function collocation method (LRBFCM) based on the adaptive support domain is employed to the phase-field methods. The proposed adaptive support domain can increase the stability of the LRBFCM, and the improved LRBFCM is much more efficient than the traditional finite element method (FEM) in coupling with phase-field methods. The proposed approach is further applied to the single-phase dendrite solidification, two-phase sintering, and three-phase wetting phenomena. We compare the efficiency of the proposed LRBFCM with different numerical methods, which show that the LRBFCM combined with the Fourier spectral method can deal with the three-phase model with more than ten million nodes easily.

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基于相场的树枝状凝固、固相烧结和润湿现象的局部径向基函数搭配法

根据基于网格的方法，相场已有效地应用于许多复杂问题。然而，基于相场的数值方法的计算速度仍有待提高。本文在相场方法的基础上，采用了一种基于自适应支撑域的改进型局部径向基函数配准法（LRBFCM）。所提出的自适应支撑域可以提高 LRBFCM 的稳定性，改进后的 LRBFCM 在与相场方法耦合时比传统的有限元方法（FEM）更有效。我们将所提出的方法进一步应用于单相树枝晶凝固、两相烧结和三相润湿现象。我们比较了所提出的 LRBFCM 与不同数值方法的效率，结果表明 LRBFCM 与傅立叶谱方法相结合可以轻松处理节点数超过 1000 万的三相模型。

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

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.