University of Illinois Urbana-Champaign

An Adaptive Mesh Refinement Scheme for Solidification Problems

Palle, Nagendra

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https://hdl.handle.net/2142/72241

Description

Title
An Adaptive Mesh Refinement Scheme for Solidification Problems
Author(s)
Palle, Nagendra
Issue Date
1993
Doctoral Committee Chair(s)
Dantzig, Jonathan A.
Department of Study
Mechancial Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
Graduation Semester
1993
Type of Resource
text
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http://hdl.handle.net/2142/72241

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