Numerical Simulation of Fluid Membranes in Two-Dimensional Space
作者机构：LMAM and School of Mathematical SciencesPeking UniversityBeijing 100871China.
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2008年第3卷第4期
页 面：794-821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 special funds for Major State Research Projects 2005CB321704 National Science Foundation of China for Distinguished Young Scholars 10225103 and 20490222
主 题：Director model of the membrane reduced model osmotic pressure spontaneous curvature constraint of the area.
摘 要：The membrane’s dynamics is very important for cells.A membrane in 2-dimensional space can be seen as an incompressible closed curve in a plane or a cylindrical surface in 3-dimensional *** this paper,we design a second-order accurate numerical algorithm to simulate the shape transformation of the *** the algorithm,we use the tangent angles to present the curve and avoid the difficulties from the constraint of curve’s incompressible condition.A lot of interesting phenomena are *** of them are very like the life processes of cells,such as exocytosis and ***,we can see the relation between two dynamic models *** last,considering the influence of the inner incompressible fluids partially,we add a constraint:the area circled by the membrane maintain *** numerical results show the dynamic motions of a curve remaining its local arc length and inner area constant.
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