A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE.
A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE.
复制标题
DOI：
10.4310/cms.2009.v7.n4.a10
复制
发表时间：
2009-12
影响因子：
1
通讯作者：
Voigt A
中科院分区：
文献类型：
--
作者：
Teigen KE;Li X;Lowengrub J;Wang F;Voigt A
提出了一种解决涉及界面上材料量的两相问题的方法。界面可以平流、拉伸和改变拓扑结构，并且材料可以吸附到界面上或从界面上解吸。该方法基于扩散接口框架的使用，允许使用标准有限差分或有限元技术进行简单的实现。这里，使用块结构自适应网格上的有限差分方法，并使用非线性多重网格方法求解所得方程。以可溶性表面活性剂的界面流动作为该方法的应用示例，并提供了几个测试案例来证明其准确性和收敛性。
A method is presented to solve two-phase problems involving a material quantity on an interface. The interface can be advected, stretched, and change topology, and material can be adsorbed to or desorbed from it. The method is based on the use of a diffuse interface framework, which allows a simple implementation using standard finite-difference or finite-element techniques. Here, finite-difference methods on a block-structured adaptive grid are used, and the resulting equations are solved using a non-linear multigrid method. Interfacial flow with soluble surfactants is used as an example of the application of the method, and several test cases are presented demonstrating its accuracy and convergence.