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.
@article{1264434142,
author = {Teigen, Knut Erik and Li, Xiangrong and Lowengrub, John and Wang, Fan and Voigt, Axel},
title = {A diffuse-interface approach for modelling transport, diffusion and
adsorption/desorption of material quantities on a deformable interface},
journal = {Commun. Math. Sci.},
volume = {7},
number = {1},
year = {2009},
pages = { 1009-1037},
language = {en},
url = {http://dml.mathdoc.fr/item/1264434142}
}
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel. A diffuse-interface approach for modelling transport, diffusion and
adsorption/desorption of material quantities on a deformable interface. Commun. Math. Sci., Tome 7 (2009) no. 1, pp. 1009-1037. http://gdmltest.u-ga.fr/item/1264434142/