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Discontinuous Finite Element Phase-Field Modeling of Solidification Microstructure Formation

[+] Author Affiliations
Y. Shu, X. Ai, B. Q. Li

Washington State University

Paper No. IMECE2004-59565, pp. 419-425; 7 pages
doi:10.1115/IMECE2004-59565
From:
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 3
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4711-X | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME

abstract

A discontinuous Galerkin finite element computational methodology is presented for the solution of the coupled phase-field and heat conduction equations for modeling microstructure evolution during solidification. The details of the discontinuous formulation and the solution procedures are given. A major difference between the current method and those used in the literatures is the application of higher-order localized formulation and unstructured mesh, which holds a great promise in both parallel computing and adaptive meshing. The accuracy of the discontinuous model is checked with the analytic solution for a simple 1-D solidification problem. Numerical simulations and selected results are given for more complex 2-D dendrite structures formed during solidification. The calculated results are consistent with those reported in literature.

Copyright © 2004 by ASME

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