Open Access
ARTICLE
A XFEM LAGRANGE MULTIPLIER TECHNIQUE FOR STEFAN PROBLEMS
Dave Martina,b,†
, Hicham Chaoukia,b, Jean-Loup Roberta, Donald Zieglerc, Mario Fafarda,b
a Department of Civil and Water Engineering, Laval University, Quebec, QC, G1V 0A6, Canada
b NSERC/Alcoa Industrial Research Chair MACE3
and Aluminium Research Centre - REGAL, Laval University, Quebec, QC, G1V 0A6, Canada
c Alcoa Primary Metals, Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA, 15069-0001, USA
Frontiers in Heat and Mass Transfer 2016, 7, 1-9. https://doi.org/10.5098/hmt.7.31
Abstract
The two dimensional phase change problem was solved using the extended finite element method with a Lagrange formulation to apply the interface
boundary condition. The Lagrange multiplier space is identical to the solution space and does not require stabilization. The solid-liquid interface
velocity is determined by the jump in heat flux across the i nterface. Two methods to calculate the jump are used and c ompared. The first is based on
an averaged temperature gradient near the interface. The second uses the Lagrange multiplier values to evaluate the jump. The Lagrange multiplier
based approach was shown to be more robust and precise.
Keywords
Cite This Article
APA Style
Martin
, D., Chaouki, H., Robert, J., Ziegler, D., Fafard, M. (2016). A XFEM LAGRANGE MULTIPLIER TECHNIQUE FOR STEFAN PROBLEMS. Frontiers in Heat and Mass Transfer, 7(1), 1-9. https://doi.org/10.5098/hmt.7.31
Vancouver Style
Martin
D, Chaouki H, Robert J, Ziegler D, Fafard M. A XFEM LAGRANGE MULTIPLIER TECHNIQUE FOR STEFAN PROBLEMS. Front Heat Mass Transf. 2016;7(1):1-9 https://doi.org/10.5098/hmt.7.31
IEEE Style
D. Martin
, H. Chaouki, J. Robert, D. Ziegler, and M. Fafard "A XFEM LAGRANGE MULTIPLIER TECHNIQUE FOR STEFAN PROBLEMS," Front. Heat Mass Transf., vol. 7, no. 1, pp. 1-9. 2016. https://doi.org/10.5098/hmt.7.31