An extended finite element method for a diffuse-interface model

Title
An extended finite element method for a diffuse-interface model
Author(s)
박장민Martien A. Hulsen[Martien A. Hulsen]Patrick D. Anderson[Patrick D. Anderson]
Keywords
BLENDING ELEMENTS; LOCAL PARTITION; LEVEL SETS; XFEM; UNITY; FLUIDS; EVOLUTION; DYNAMICS; FLOWS
Issue Date
201412
Publisher
ELSEVIER SCIENCE BV
Citation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.272, pp.25 - 40
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. (C) 2014 Elsevier B.V. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/30372http://dx.doi.org/10.1016/j.cam.2014.04.025
ISSN
0377-0427
Appears in Collections:
공과대학 > 기계공학부 > Articles
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