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 Title: An Adaptive Mesh Refinement Scheme for Solidification Problems Author(s): Palle, Nagendra Doctoral Committee Chair(s): Dantzig, Jonathan A. Department / Program: Mechancial Engineering Discipline: Mechanical Engineering Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Engineering, Civil Engineering, Mechanical Engineering, Materials Science Abstract: Methods for adaptive mesh refinement, based on a quadtree data structure, have been developed with the specific objective of tracking a solid/liquid front in a two-dimensional solidification problem. These methods include mesh refinement and unrefinement algorithms for the finite element method applied to transient problems. An a posteriori error estimator is described to locate regions in the finite element mesh needing refinement. Implementation of the methods to work in conjunction with FIDAP$\sp{\rm TM}$ and TOPAZ2D$\sp{\copyright}$ are presented. One- and two-dimensional examples of applications are given, showing how the methods can be used to resolve the solidification front. These methods have been used to solve the temperature and concentration fields for binary alloy solidification. Formulations and solution schemes for these problems have been described. Issue Date: 1993 Type: Text Description: 160 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993. URI: http://hdl.handle.net/2142/72241 Other Identifier(s): (UMI)AAI9411743 Date Available in IDEALS: 2014-12-17 Date Deposited: 1993
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