Finite-element Solutions For A Direct Problem In
Continuous Casting And For Its Inverse
Author(s)
D. Constales & R. Van Keer
Abstract
This paper describes the finite-element approach to a radially-symmetric moving boundary
problem in continuous casting and the corresponding inverse problem, where conditions on
solidification time and external fluxes are to be met optimally. Our approach relies on
automatic differentiation during the whole integration procedure of the ordinary differential
equations obtained by finite-element discretization, either to first or second order, the former
lead to steepest-descent algorithms, the latter also include the possibility of Newton-Raphson
iterations when sufficiently close to the optimum.
1 Introduction
Although continuous casting is a widely-applied technique of great eco-
nomic impact to metallurgy, the obtention of precise experimental data
Keywords
Related Book
Other papers in this volume
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