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

作　　者：Weijie Huang Wei Jiang Yan Wang 

机构地区：[1]Beijing Computational Science Research Center,Beijing 100193,China [2]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China [3]Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan 430072,China [4]School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China

出　　处：《Journal of Computational Mathematics》2022年第2期275-293,共19页计算数学（英文）

基　　金：This work was partially supported by the National Natural Science Foundation of China under Grant Nos.11871384(W.J.),12001034(W.H.),12001221(Y.W.),and 91630207(W.H.);the Fundamental Research Funds for the Central Universities under Grant CCNU19TD010(Y.W.);the Natural Science Foundation of Hubei Province under Grant Nos.2018CFB466(W.J.)and 2020CFB221(Y.W.).

摘　　要：We propose a θ-L approach for solving a sharp-interface model about simulating solid-state dewetting of thin films with isotropic/weakly anisotropic surface energies.The sharp-interface 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 angle 6 and the total length L of the interface curve),so that it not only could reduce the stiffness resulted from the surface tension,but also could ensure the mesh equidistri-bution property during the evolution.Furthermore,it can achieve second-order accuracy when implemented by a semi-implicit linear finite element method.Numerical results are reported to demonstrate that the proposed θ-L approach is efficient and accurate.

关 键 词：Solid-state dewetting Surface diffusion Moving contact lines Anisotropic surface energy θ-L formulation Finite element method 

分 类 号：O17[理学—数学]