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arXiv 0709.0723physics.bio-phphysics.comp-ph
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脂肪膜力学有限元分析的粘性正则化和r-自适应网格重划

Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics

Lin Ma, William S. Klug

摘要:

作为二维流体壳,脂质双层膜抵抗弯曲和拉伸,但不能承受剪切应力。这一特性使膜能够采用戏剧性的形状变化。本文建立了一个有限元模型来研究膜的静力平衡力学。特别是,粘性正则化方法,提出了稳定切向网格变形,提高非线性求解器的收敛速度。增广拉格朗日方法用于在膜变形过程中对面积和体积进行全局约束。作为对该方法的验证,计算了脂双层囊泡形状-相图的平衡形状。这些数值技术也被证明是有用的三维大变形问题的模拟:系绳的形成(长管状extensions);和金-朗道相分离的两个脂质成分囊泡。针对两相流模型网格畸变较大的问题,提出了一种改进的vicous正则化方法,实现了r-自适应网格优化。

英文摘要:

As two-dimensional fluid shells, lipid bilayer membranes resist bending and stretching but are unable to sustain shear stresses. This property gives membranes the ability to adopt dramatic shape changes. In this paper, a finite element model is developed to study static equilibrium mechanics of membranes. In particular, a viscous regularization method is proposed to stabilize tangential mesh deformations and improve the convergence rate of nonlinear solvers. The Augmented Lagrangian method is used to enforce global constraints on area and volume during membrane deformations. As a validation of the method, equilibrium shapes for a shape-phase diagram of lipid bilayer vesicle are calculated. These numerical techniques are also shown to be useful for simulations of three-dimensional large-deformation problems: the formation of tethers (long tube-like exetensions); and Ginzburg-Landau phase separation of a two-lipid-component vesicle. To deal with the large mesh distortions of the two-phase model, modification of vicous regularization is explored to achieve r-adaptive mesh optimization.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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