Author(s)

N. Zabaras

Abstract

The inverse Stefan design problem N. Zabaras Sibley School of Mechanical and Aerospace Engineering, 188 Engineering and Theory Center Bldg., Cornell University, Ithaca, NY 14853, USA ABSTRACT The major goal of this work is to develop and experimentally verify computational models that provide direct information for the optimum thermomechanical design and control of casting processes and utilize experimental data to accurately evaluate the thermo-mechanical material state during solidification. In particular, this paper addresses an ill-posed inverse design Stefan problem where one calculates the fluxes on the fixed walls that produce a desired freezing front velocity and fluxes. To account for the mathematical incorrectness of the proposed models, this work explores several mathematical techniques, but particularly iterative regularization methods, filtering and the adjoint method. Front-tracking finite element implementations are considered. Other problems and t

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