Mathematical Modeling and Simulation of Antibubble Dynamics

作     者：Junxiang Yang Yibao Li Darae Jeong Junseok Kim 

作者机构：Department of MathematicsKorea UniversitySeoul 02841Republic of Korea School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’an 710049China Department of MathematicsKangwon National UniversityGangwon-do 24341Republic of Korea 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2020年第13卷第1期

页      面：81-98页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The author(D.Jeong)was supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIP)(NRF-2017R1E1A1A03070953) The author(Y.B.Li)is supported by National Natural Sci-ence Foundation of China(Nos.11601416,11631012) the China Postdoctoral Science Foundation(No.2018M640968) The corresponding author(J.S.Kim)was supported by Basic Science Research Program through the National Research Founda-tion of Korea(NRF)funded by the Ministry of Education(NRF-2019R1A2C1003053) 

主　　题：Antibubble conservative Allen-Cahn equation Navier-Stokes equation 

摘      要：In this study,we propose a mathematical model and perform numerical simulations for the antibubble *** antibubble is a droplet of liquid sur-rounded by a thin film of a lighter liquid,which is also in a heavier surrounding *** model is based on a phase-field method using a conservative Allen–Cahn equa-tion with a space-time dependent Lagrange multiplier and a modified Navier–Stokes *** this model,the inner fluid,middle fluid and outer fluid locate in specific diffusive layer regions according to specific phase filed(order parameter)*** we represent the antibubble with conventional binary or ternary phase-field models,then it is difficult to have stable thin ***,the proposed approach can prevent nonphysical breakup of fluid film during the *** numerical tests are performed to verify the efficiency of the proposed model.