2026-09-20T16:17:03Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/72241 2023-07-11 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Engineering, Mechanical Engineering, Materials Science Dantzig, Jonathan A. Palle, Nagendra 2014-12-17T21:26:18Z 2014-12-17T21:26:18Z 10000-01-01 1993 1993 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. Made available in DSpace on 2014-12-17T21:26:18Z (GMT). No. of bitstreams: 1 9411743.pdf: 4687128 bytes, checksum: 12b6e47a23ee1ecd9432e48ee13351a1 (MD5) Previous issue date: 1993 Embargo set by: Seth Robbins for item 72409 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 160 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993. http://hdl.handle.net/2142/72241 (UMI)AAI9411743 Engineering, Civil An Adaptive Mesh Refinement Scheme for Solidification Problems text Mechancial Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.