Abstract
As the first step in the mathematical modelling of two-dimensional heat flow and stress generation in a solidifying steel ingot with corrugations, this investigation was conducted to assess the accuracy, stability and cost of different numerical methods for solving complex, transient, heat-conduction problems involving non-linear boundary conditions, phase change, variable properties and irregular geometry. Several different formulations for the standard finite-element method, the matrix method of Ohnaka and the alternating-direction implicit finite-difference method have been examined; and predictions using these techniques have been compared to analytical solutions for two relevant problems.
| Original language | English (US) |
|---|---|
| Title of host publication | Unknown Host Publication Title |
| Editors | J.A. Dantzig, John T. Berry |
| Publisher | Metallurgical Soc of AIME |
| Pages | 3-11 |
| Number of pages | 9 |
| ISBN (Print) | 0895204770 |
| State | Published - 1984 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Engineering