An adaptive mesh refinement scheme for solidification problems

Journal Article · Thu Feb 29 23:00:00 EST 1996 · Metallurgical Transactions, A

DOI:https://doi.org/10.1007/BF02648957· OSTI ID:237779

Palle, N; Dantzig, J A ^[1]

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1. Univ. of Illinois, Urbana, IL (United States). Dept. of Mechanical and Industrial Engineering

Methods for adaptive mesh refinement, based on a quadtree data structure, have been developed with the specific objective of tracking solid/liquid front movement in two-dimensional solidification problems. 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. One- and two-dimensional example applications are given, showing how the methods can be used to resolve a moving solidification front and its associated boundary layer in binary alloy solidification.

• Sponsoring Organization: USDOE
• OSTI ID: 237779
• Journal Information: Metallurgical Transactions, A, Journal Name: Metallurgical Transactions, A Journal Issue: 3 Vol. 27; ISSN 0360-2133; ISSN MTTABN
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ALGORITHMS
BINARY ALLOY SYSTEMS
FINITE ELEMENT METHOD
INTERFACES
MATHEMATICAL MODELS
MESH GENERATION
MOVING-BOUNDARY CONDITIONS
NUMERICAL ANALYSIS
SOLIDIFICATION
TEMPERATURE GRADIENTS
TWO-DIMENSIONAL CALCULATIONS