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|
|Number of pages||9|
|State||Published - 1984|
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