Benchmark Problems for the Numerical Schemes of the Phase-Field Equations

被引：8

作者：

Hwang, Youngjin ^{[1
]}

Lee, Chaeyoung ^{[1
]}

Kwak, Soobin ^{[1
]}

Choi, Yongho ^{[2
]}

Ham, Seokjun ^{[1
]}

Kang, Seungyoon ^{[1
]}

Yang, Junxiang ^{[3
]}

Kim, Junseok ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 02841, South Korea

[2] Daegu Univ, Dept Math & Big Data, Gyeongsan Si Gyeongsangb 38453, Gyeongsan, South Korea

[3] Sun Yat Sen Univ, Sch Comp Sci & Engn, Guangzhou 510275, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2022年 / 2022卷

基金：

新加坡国家研究基金会;

关键词：

VARIABLE SAV APPROACH; ALLEN-CAHN; HILLIARD; ENERGY;

D O I：

10.1155/2022/2751592

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present benchmark problems for the numerical methods of the phase-field equations. To find appropriate benchmark problems, we first perform a linear stability analysis and then take a growth mode solution as the benchmark problem, which is closely related to the dynamics of the original governing equations. As concrete examples, we perform convergence tests of the numerical methods of the Allen-Cahn (AC) and Cahn-Hilliard (CH) equations using the proposed benchmark problems. The one- and two-dimensional computational experiments confirm the accuracy and efficiency of the proposed scheme as the benchmark problems.

引用

页数：10

共 25 条

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