Three-dimensional anisotropic mesh adaptation for phase change problems

Authors:
Youssef Belhamadia;André Fortin;Éric Chamberland
Affiliations:
Départment de mathématiques et de statistique, GIREF, Université Laval, Québec, Canada G1K 7P4;Départment de mathématiques et de statistique, GIREF, Université Laval, Québec, Canada G1K 7P4;Départment de mathématiques et de statistique, GIREF, Université Laval, Québec, Canada G1K 7P4
Venue:
Journal of Computational Physics
Year:
2004

Citing 4
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Abstract

A three-dimensional adaptive strategy for the finite element simulation of phase change problems is presented, discussed and validated. A semi-phase-field formulation is used for the solution of the Stefan problem. The adaptive method is based on the definition of edge length using a solution dependent metric and produces strongly anisotropic meshes. Numerical results illustrating the performance and accuracy of the proposed method are presented.