一种用于模拟可变形界面上物质数量的传输、扩散和吸附/解吸的扩散界面方法。
A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE.
作者信息
Teigen Knut Erik, Li Xiangrong, Lowengrub John, Wang Fan, Voigt Axel
机构信息
Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway (
出版信息
Commun Math Sci. 2009 Dec;4(7):1009-1037. doi: 10.4310/cms.2009.v7.n4.a10.
Abstract
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.
摘要
本文提出了一种解决涉及界面上物质数量的两相问题的方法。该界面可以被平流、拉伸并改变拓扑结构，物质可以在其上吸附或解吸。该方法基于使用扩散界面框架，这允许使用标准的有限差分或有限元技术进行简单实现。在这里，使用了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。以含可溶性表面活性剂的界面流动为例展示该方法的应用，并给出了几个测试案例以证明其准确性和收敛性。
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