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A θ-L APPROACH FOR SOLVING SOLID-STATE DEWETTING PROBLEMS

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成果类型:
期刊论文
作者:
Huang, Weijie;Jiang, Wei;Wang, Yan*
通讯作者:
Wang, Yan
作者机构:
[Huang, Weijie] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China.
[Jiang, Wei] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.
[Jiang, Wei] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Peoples R China.
[Wang, Yan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Wang, Yan] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Global Science Press;JCM;Journal of Computational Mathematics;ISSN 0254-9409;ISSN0254-9409;ISSN 1991-7139;ISSN1991-7139;10.4208 jcm;CN 11-2126/O1;Solid-state dewetting;Surface diffusion;Moving contact lines;Anisotropic surface energy;$\theta$-$L$ formulation;Finite element method.
期刊:
计算数学:英文版
ISSN:
0254-9409
年:
2022
卷:
40
期:
2
页码:
275-293
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11871384, 12001034, 12001221, 91630207]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities [CCNU19TD010]; Natural Science Foundation of Hubei ProvinceNatural Science Foundation of Hubei Province [2018CFB466, 2020CFB221]
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
We propose a θ-L approach for solving a sharp-interface model about simulating solidstate dewetting of thin films with isotropic/weakly anisotropic surface energies. The sharpinterface model is governed by surface diffusion and contact line migration. For solving the model, traditional numerical methods usually suffer from the severe stability constraint and/or the mesh distribution trouble. In the θ-L approach, we introduce a useful tangential velocity along the evolving interface and utilize a new set of variables (i.e., the tangential angl...

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