Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638661 | Journal of Computational and Applied Mathematics | 2014 | 16 Pages |
Abstract
This work presents an extended finite element method (XFEM) for a diffuse-interface model, which describes interfacial phenomena of multi-phase flow. The diffuse interface has a non-zero thickness over which the phase field variable changes continuously. The diffuse-interface thickness is typically very small compared to the observed domain size, resulting in a high-gradient solution. In this work, the finite element approximation of the phase field variable is locally enriched with a tangent hyperbolic function which characterizes a high-gradient solution of the diffuse-interface model. We study a one-dimensional advection and two diffusion problems, and demonstrate the remarkable improvement of the solution by the local enrichment.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jang Min Park, Martien A. Hulsen, Patrick D. Anderson,