An Adaptive Mesh Refinement Scheme for Solidification Problems

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Palle, Nagendra

Contributors dc:contributor

• Dantzig, Jonathan A.

• Engineering, Mechanical
• Engineering, Materials Science
• Engineering, Civil

Identifier

(UMI)AAI9411743

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/72241